- Table View
- List View
Two-Dimensional (Springer Series on Polymer and Composite Materials)
by Rasel DasThis book covers newly emerging two-dimensional nanomaterials which have been recently used for the purpose of water purification. It focuses on the synthesis methods of 2D materials and answers how scientists/engineers/nanotechnologist/environmentalists could use these materials for fabricating new separation membranes and most probably making commercially feasible technology. The chapters are written by a collection of international experts ensuring a broad view of each topic. The book will be of interest to experienced researchers as well as young scientists looking for an introduction into 2D materials-based cross-disciplinary research.
Two-dimensional Crossing and Product Cubic Systems, Vol. I: Self-linear and Crossing-quadratic Product Vector Field
by Albert C. LuoThis book, the 14th of 15 related monographs on Cubic Dynamical Systems, discusses crossing and product cubic systems with a self-linear and crossing-quadratic product vector field. Dr. Luo discusses singular equilibrium series with inflection-source (sink) flows that are switched with parabola-source (sink) infinite-equilibriums. He further describes networks of simple equilibriums with connected hyperbolic flows are obtained, which are switched with inflection-source (sink) and parabola-saddle infinite-equilibriums, and nonlinear dynamics and singularity for such crossing and product cubic systems. In such cubic systems, the appearing bifurcations are: - double-inflection saddles, - inflection-source (sink) flows, - parabola-saddles (saddle-center), - third-order parabola-saddles, - third-order saddles and centers.
Two-dimensional Crossing-Variable Cubic Nonlinear Systems
by Albert C. LuoThis book is the fourth of 15 related monographs presents systematically a theory of crossing-cubic nonlinear systems. In this treatment, at least one vector field is crossing-cubic, and the other vector field can be constant, crossing-linear, crossing-quadratic, and crossing-cubic. For constant vector fields, the dynamical systems possess 1-dimensional flows, such as parabola and inflection flows plus third-order parabola flows. For crossing-linear and crossing-cubic systems, the dynamical systems possess saddle and center equilibriums, parabola-saddles, third-order centers and saddles (i.e, (3rd UP+:UP+)-saddle and (3rdUP-:UP-)-saddle) and third-order centers (i.e., (3rd DP+:DP-)-center, (3rd DP-, DP+)-center) . For crossing-quadratic and crossing-cubic systems, in addition to the first and third-order saddles and centers plus parabola-saddles, there are (3:2)parabola-saddle and double-inflection saddles, and for the two crossing-cubic systems, (3:3)-saddles and centers exist. Finally,the homoclinic orbits with centers can be formed, and the corresponding homoclinic networks of centers and saddles exist. Readers will learn new concepts, theory, phenomena, and analytic techniques, including · Constant and crossing-cubic systems · Crossing-linear and crossing-cubic systems · Crossing-quadratic and crossing-cubic systems · Crossing-cubic and crossing-cubic systems · Appearing and switching bifurcations · Third-order centers and saddles · Parabola-saddles and inflection-saddles · Homoclinic-orbit network with centers · Appearing bifurcations
Two-Dimensional Digital Filters (Electrical And Computer Engineering Ser. #80)
by Wu-Sheng Lu Andreas AntoniouPresents basic theories, techniques, and procedures used to analyze, design, and implement two-dimensional filters; and surveys a number of applications in image and seismic data processing that demonstrate their use in real-world signal processing. For graduate students in electrical and computer e
Two-dimensional Hybrid Composites: Synthesis, Properties and Applications (Engineering Materials)
by Neetu Talreja Divya Chauhan Mohammad AshfaqThis book highlights a comprehensive review of synthesis, properties, and strategies to improve the applicability of 2D materials like graphene, borophenes, metal nanosheets, phosphorene, and transition metal dichalcogenides (TMDs). It also highlights the synthesis of 2D-based hybrid composite materials and their effects on applicability, especially in energy, environment, and biomedical applications, by incorporating surface functional groups, metal/non-metal ions, and polymers. The advancement in innovative technology and use of 2D-based hybrid composite materials can improve the development of newer products/opening newer possibilities to fight existing issues related to environment, energy, and biomedical sciences. However, researchers continue to face numerous challenges in developing newer products/possibilities, large-scale production, with health and environmental impact being a challenge.This book serves as a valuable resource for researchers, professionals and students working in the field of advanced materials, especially 2D-based hybrid composites.
Two-Dimensional Liquid Chromatography: Principles and Practical Applications (SpringerBriefs in Molecular Science)
by Oliver JonesThis book addresses the growing interest in the field of two-dimensional liquid chromatography (2DLC), a powerful approach to increasing resolution, available peak capacity, and selectivity in analytical chromatography. 2DLC is suitable for many applications, including in the pharmaceutical and polymer industries and the omic sciences (metabolomics, lipidomics and proteomics). Thanks to recent advances in technology and software the instrumentation needed to perform 2D-LC is broadly available to the analytical community in both industry and academia. Indeed, the technique can now be considered ready for application in R&D as well as in QA and QC labs, yet it is not widely known about outside academic laboratories and is rarely taught at the undergraduate level. This book outlines the main principles and features of 2D-LC (including comprehensive and heart-cutting modes, method development and real world applications) to enable modern analysts to start using this fascinating technique. The book offers an ideal starting point for those wishing to get into 2D-LC and will also be of interest to more experienced scientists in the field.
Two-Dimensional-Materials-Based Membranes: Preparation, Characterization, and Applications
by Gongping LiuTwo-Dimensional-Materials-Based Membranes An authoritative and up to date discussion of two-dimensional materials and membranes In Two-Dimensional-Materials-Based Membranes: Preparation, Characterization, and Applications, a team of distinguished chemical engineers delivers a comprehensive exploration of the latest advances in design principles, synthesis approaches, and applications of two-dimensional (2D) materials—like graphene, metal-organic frameworks (MOFs), 2D layered double hydroxides, and MXene—and highlights the significance and development of these membranes. In the book, the authors discuss the use of membranes to achieve high-efficiency separation and to address the challenges posed in the field. The book also discusses potential challenges and benefits in the future development of advanced 2D nanostructures, as well as their impending implementation in applications in the fields of energy, sustainability, catalysis, electronics, and biotechnology. Readers will also find: A thorough introduction to fabrication methods for 2D-materials-based membranes, including the synthesis of nanosheets, membrane structures, and fabrication methods Descriptions of three types of 2D-materials-based membranes: single-layer membranes, laminar membranes and mixed-matrix membranes Comprehensive discussions of 2D-materials-based membranes for water and ions separation, solvent-water separation and gas separation Explorations of transport mechanism of 2D-materials-based membranes for molecular separations Perfect for membrane scientists, inorganic chemists, and materials scientists, Two-Dimensional-Materials-Based Membranes will also earn a place in the libraries of chemical and process engineers in industrial environments.
Two-Dimensional Materials for Electromagnetic Shielding
by Chong Min Koo Pradeep Sambyal Aamir Iqbal Faisal Shahzad Junpyo HongDiscover a cutting-edge reference on 2D EMI shielding materials for both industrial and academic audiences Two-Dimensional Materials for Electromagnetic Shielding delivers a thorough and comprehensive examination of all aspects of electromagnetic interference (EMI) shielding and microwave absorption, including fundamentals and applications, as well as emerging 2D materials in the field, like graphene, black phosphorus, and MXene. The book covers basic knowledge on shielding mechanisms and the demanding physical, chemical, and mechanical properties of the 2D materials against betrayed electromagnetic waves. The benefits of novel 2D materials over existing materials is thoroughly explained and the reader is provided with insight into future developments in shielding materials in highly integrated electrical and electronic equipment. The book offers explanations and in-depth descriptions of graphene and MXenes materials, as well as likely future challenges that will confront practitioners in the field. Ideal for scientists, researchers, and engineers who design novel EMI shielding materials, the book also provides: A thorough introduction to electromagnetic field sources and their impact on human beings, including natural and artificial sources and their effects on human health An exploration of EMI shielding mechanism and conversion techniques, including microwave absorption mechanisms and scattering parameter conversion methods Discussions of measurements and standards in EMI shielding, including effectiveness measurements An examination of graphene and its derivatives for EMI shielding, as well as its effectiveness as a microwave absorber Perfect for materials scientists, electrochemists, inorganic chemists, physical chemists, and radiation chemists, Two-Dimensional Materials for Electromagnetic Shielding will also earn a place in the libraries of applied physicists and engineering scientists in industry seeking a one-stop reference on cutting-edge 2D electromagnetic interference shielding materials.
Two-Dimensional Materials for Environmental Applications (Springer Series in Materials Science #332)
by Neeraj Kumar Rashi Gusain Suprakas Sinha RayThis book focuses on recent developments in the field of two-dimensional nanomaterials for environmental applications. Due to their high surface area and tunable surface chemistry, two-dimensional nanomaterials are currently garnering great interest for environmental remediation applications. This book compiles contributed chapters from active international researchers dealing with the development of state-of-the-art two-dimensional nanomaterials in environmental applications such as water and wastewater treatment, adsorption, photocatalysis, membrane separation, desalination, deionization, environmental pollutants sensing/detection, carbon-dioxide capture and catalytic conversion, microbial treatment, and electrochemical remediation. Each chapter provides an essential and comprehensive overview of the recent advances in material development and application, giving special attention to preparation methods, tunning of physiochemical properties, surface and interface chemistry, structural porosity, assemblies integration for fabrication of devices, and their relationship with overall efficiency. It offers a valuable reference guide for environmental and materials scientists, engineers, and policymakers working towards environmental sustainability.
Two-Dimensional Materials for Nonlinear Optics: Fundamentals, Preparation Methods, and Applications
by Qiang Wang; Hao-Li ZhangTwo-Dimensional Materials for Nonlinear Optics Comprehensive resource covering concepts, perspectives, and skills required to understand the preparation, nonlinear optics, and applications of two-dimensional (2D) materials Bringing together many interdisciplinary experts in the field of 2D materials with their applications in nonlinear optics, Two-Dimensional Materials for Nonlinear Optics covers preparation methods for various novel 2D materials, such as transition metal dichalcogenides (TMDs) and single elemental 2D materials, excited-state dynamics of 2D materials behind their outstanding performance in photonic devices, instrumentation for exploring the photoinduced excited-state dynamics of the 2D materials spanning a wide time scale from ultrafast to slow, and future trends of 2D materials on a series of issues like fabrications, dynamic investigations, and photonic/optoelectronic applications. Powerful nonlinear optical characterization techniques, such as Z-scan measurement, femtosecond transient absorption spectroscopy, and microscopy, are also introduced. Edited by two highly qualified academics with extensive experience in the field, Two-Dimensional Materials for Nonlinear Optics covers sample topics such as: Foundational knowledge on nonlinear optical properties, and fundamentals and preparation methods of 2D materials with nonlinear optical properties Modulation and enhancement of optical nonlinearity in 2D materials, and nonlinear optical characterization techniques for 2D materials and their applications in a specific field Novel nonlinear optical imaging systems, ultrafast time-resolved spectroscopy for investigating carrier dynamics in emerging 2D materials, and transient terahertz spectroscopy 2D materials for optical limiting, saturable absorber, second and third harmonic generation, nanolasers, and space use With collective insight from researchers in many different interdisciplinary fields, Two-Dimensional Materials for Nonlinear Optics is an essential resource for materials scientists, solid state chemists and physicists, photochemists, and professionals in the semiconductor industry who are interested in understanding the state of the art in the field.
Two-Dimensional Metal Halide Perovskites: A Machine-Generated Literature Overview
by John S. Colton Kameron R. HansenThis book presents the result of an innovative challenge, to create a systematic literature overview driven by machine-generated content. Questions and related keywords were prepared for the machine to query, discover, collate and structure by Artificial Intelligence (AI) clustering. The AI-based approach seemed especially suitable to provide an innovative perspective as the topics are indeed both complex, interdisciplinary and multidisciplinary, for example, climate, planetary and evolution sciences. Springer Nature has published much on these topics in its journals over the years, so the challenge was for the machine to identify the most relevant content and present it in a structured way that the reader would find useful. The automatically generated literature summaries in this book are intended as a springboard to further discoverability. They are particularly useful to readers with limited time, looking to learn more about the subject quickly and especially if they are new to the topics. Springer Nature seeks to support anyone who needs a fast and effective start in their content discovery journey, from the undergraduate student exploring interdisciplinary content to Master- or PhD-thesis developing research questions, to the practitioner seeking support materials, this book can serve as an inspiration, to name a few examples. It is important to us as a publisher to make the advances in technology easily accessible to our authors and find new ways of AI-based author services that allow human-machine interaction to generate readable, usable, collated, research content.
Two-Dimensional Nanomaterials Based Polymer Nanocomposites: Processing, Properties and Applications
by Mayank Pandey Kalim Deshmukh Chaudhery Mustansar HussainTwo-Dimensional Nanomaterials-Based Polymer Nanocomposites This book presents an extensive discussion on fundamental chemistry, classifications, structure, unique properties, and applications of various 2D nanomaterials. The advent of graphene in 2004 has brought tremendous attention to two-dimensional (2D) nanomaterials. Lately, this has prompted researchers to explore new 2D nanomaterials for cutting-edge research in diverse fields. Polymer nanocomposites (PNCs) represent a fascinating group of novel materials that exhibit intriguing properties. The unique combination of polymer and nanomaterial not only overcomes the limitations of polymer matrices, but also changes their structural, morphological, and physicochemical properties thereby broadening their application potential. The book, comprising 22 chapters, provides a unique and detailed study of the process involved in the synthesis of 2D nanomaterials, modification strategies of 2D nanomaterials, and numerous applications of 2D nanomaterials-based polymer nanocomposites. The book also emphasizes the existing challenges in the functionalization and exfoliation of 2D nanomaterials as well as the chemical, structural, electrical, thermal, mechanical, and biological properties of 2D nanomaterials-based polymer nanocomposites. The key features of this book are: Provides fundamental information and a clear understanding of synthesis, processing methods, structure and physicochemical properties of 2D materials-based polymer nanocomposites; Presents a comprehensive review of several recent accomplishments and key scientific and technological challenges in developing 2D materials-based polymer nanocomposites; Explores various processing and fabrication methods and emerging applications of 2D materials-based polymer nanocomposites. Audience Engineers and polymer scientists in the electrical, coatings, and biomedical industries will find this book very useful. Advanced students in materials science and polymer science will find it a fount of information.
Two-Dimensional Nanomaterials for Fire-Safe Polymers (Emerging Materials and Technologies)
by Yuan Hu Xin WangThis book provides an overview of the latest scientific developments and technological advances in two-dimensional (2D) nanomaterials for fire-safe polymers. It summarizes the preparation methods for diverse types of 2D nanomaterials and their polymer composites and reviews their flame-retardant properties, toxic gas and smoke emission during combustion, and inhibition strategies. Covers fundamental aspects like influence of size and dispersion of 2D nanomaterials to help readers develop efficient, multi-functional, and ecofriendly fire-safe polymer composites for a wide range of applications Discusses new-emerging 2D nanomaterials for fire-safe polymer applications, including MXenes, graphitic carbon nitride, boron nitride, and black phosphorus Introduces basic modes of flame retardant action of 2D nanomaterials, including smoke and toxic gas suppression, and the role of 2D nanomaterials in promoting char formation This book is suitable for both scholars and engineers in the fields of polymer science and engineering. It is also aimed at graduate students in chemistry, materials, and safety science and engineering.
Two-Dimensional Nanostructures
by Mahmood Aliofkhazraei Nasar AliAfter the 2010 Nobel Prize in Physics was awarded to Andre Geim and Konstantin Novoselov "for groundbreaking experiments regarding the two-dimensional material graphene," even more research and development efforts have been focused on two-dimensional nanostructures. Illustrating the importance of this area in future applications, Two-Dimensional Na
Two-Dimensional Nanostructures for Energy-Related Applications
by Kuan Yew CheongThis edited book focuses on the latest advances and development of utilizing two-dimensional nanostructures for energy and its related applications. Traditionally, the geometry of this material refers to "thin film" or "coating." The book covers three main parts, beginning with synthesis, processing, and property of two-dimensional nanostructures for active and passive layers followed by topics on characterization of the materials. It concludes with topics relating to utilization of the materials for usage in devises for energy and its related applications.
A Two-Dimensional Piezoresistivity Model for Anisotropic Materials and its Application in Self-Sensing of Carbon Fiber Reinforced Plastics (Mechanics and Adaptronics)
by Patrick ScholleThis thesis works on the topic of fiber-reinforced plastics and discusses the measurement of strain with embedded sensors. Embedding sensors into a structure fundamentally poses challenges arising from the differences in mechanical properties of sensor and structure. This thesis works on the research area of Self-Sensing, where these challenges are overcome by using carbon fibers for both load-carrying and strain-sensing functions. Starting with a literature review, this thesis proposes three research hypotheses, which are targeted to describe the Self-Sensing properties of unidirectional carbon fiber reinforced plastics (CFRPs) for strain measurements. These hypotheses assume, that the electric anisotropy of the material results in a complex voltage distribution within a Self-Sensing specimen. In order to discuss this point further, a two-dimensional piezoresistivity model based on the Laplace equation is introduced. The developed model newly allows to quantify the electric potential changes in specimens with arbitrary geometrical dimensions and electric anisotropy.Furthermore, this thesis discusses a set of experimental results on the piezoresistive properties of unidirectional CFRP made with the pultrusion process. Overall, the results of the experiments indicate that the most repeatable results are obtained for specimens with electric contacts at their cut-end. This approach allows to manufacture Self-Strain-Sensing rods with a gauge factor of approximately 1.9 that can be used in a multifunctional manner for both load-carrying and strain-sensing purposes. Furthermore, a novel measurement setup is developed, which allows to acquire the electric potential distribution on the surface of electrical conductors with very high spacial resolution. This experimental setup newly reveals that the current flow in specimens can be more complex than assumed in a two-dimensional model.
Two-dimensional Product-Cubic Systems, Vol. I: Constant and Linear Vector Fields
by Albert C. LuoThis book, the fifth of 15 related monographs, presents systematically a theory of product-cubic nonlinear systems with constant and single-variable linear vector fields. The product-cubic vector field is a product of linear and quadratic different univariate functions. The hyperbolic and hyperbolic-secant flows with directrix flows in the cubic product system with a constant vector field are discussed first, and the cubic product systems with self-linear and crossing-linear vector fields are discussed. The inflection-source (sink) infinite equilibriums are presented for the switching bifurcations of a connected hyperbolic flow and saddle with hyperbolic-secant flow and source (sink) for the connected the separated hyperbolic and hyperbolic-secant flows. The inflection-sink and source infinite-equilibriums with parabola-saddles are presented for the switching bifurcations of a separated hyperbolic flow and saddle with a hyperbolic-secant flow and center. Readers learn new concepts, theory, phenomena, and analysis techniques, such as Constant and product-cubic systems, Linear-univariate and product-cubic systems, Hyperbolic and hyperbolic-secant flows, Connected hyperbolic and hyperbolic-secant flows, Separated hyperbolic and hyperbolic-secant flows, Inflection-source (sink) Infinite-equilibriums and Infinite-equilibrium switching bifurcations.
Two-dimensional Product-Cubic Systems, Vol. IV: Crossing-quadratic Vector Fields
by Albert C. LuoThis book, the eighth of 15 related monographs, discusses a product-cubic dynamical system possessing a product-cubic vector field and a crossing-univariate quadratic vector field. It presents equilibrium singularity and bifurcation dynamics, and . the saddle-source (sink) examined is the appearing bifurcations for saddle and source (sink). The double-inflection saddle equilibriums are the appearing bifurcations of the saddle and center, and also the appearing bifurcations of the network of saddles and centers. The infinite-equilibriums for the switching bifurcations featured in this volume include: Parabola-source (sink) infinite-equilibriums, Inflection-source (sink) infinite-equilibriums, Hyperbolic (circular) sink-to source infinite-equilibriums, Hyperbolic (circular) lower-to-upper saddle infinite-equilibriums.
Two-dimensional Product Cubic Systems, Vol. VII: Self- Quadratic Vector Fields
by Albert C. LuoThis book is the seventh of 15 related monographs, concerns nonlinear dynamics and singularity of cubic dynamical systems possessing a product-cubic vector field and a self-univariate quadratic vector field. The equilibrium singularity and bifurcation dynamics are discussed. The saddle-source (sink) is the appearing bifurcations for saddle and source (sink). The double-saddle equilibriums are the appearing bifurcations of the saddle-source and saddle-sink, and also the appearing bifurcations of the network of saddles, sink and source. The infinite-equilibriums for the switching bifurcations include: • inflection-saddle infinite-equilibriums, • hyperbolic-source (sink) infinite-equilibriums, • up-down (down-up) saddle infinite-equilibriums, • inflection-source (sink) infinite-equilibriums.
Two-dimensional Self and Product Cubic Systems, Vol. I: Self-linear and Crossing-quadratic Product Vector Field
by Albert C. LuoThis book, the 14th of 15 related monographs on Cubic Dynamical Systems, discusses crossing and product cubic systems with a self-linear and crossing-quadratic product vector field. Dr. Luo discusses singular equilibrium series with inflection-source (sink) flows that are switched with parabola-source (sink) infinite-equilibriums. He further describes networks of simple equilibriums with connected hyperbolic flows are obtained, which are switched with inflection-source (sink) and parabola-saddle infinite-equilibriums, and nonlinear dynamics and singularity for such crossing and product cubic systems. In such cubic systems, the appearing bifurcations are: double-inflection saddles, inflection-source (sink) flows, parabola-saddles (saddle-center), third-order parabola-saddles, third-order saddles (centers), third-order saddle-source (sink).
Two-dimensional Self and Product Cubic Systems, Vol. II: Crossing-linear and Self-quadratic Product Vector Field
by Albert C. LuoThis book is the thirteenth of 15 related monographs on Cubic Dynamical Systems, discusses self- and product-cubic systems with a crossing-linear and self-quadratic products vector field. Equilibrium series with flow singularity are presented and the corresponding switching bifurcations are discussed through up-down saddles, third-order concave-source (sink), and up-down-to-down-up saddles infinite-equilibriums. The author discusses how equilibrium networks with paralleled hyperbolic and hyperbolic-secant flows exist in such cubic systems, and the corresponding switching bifurcations obtained through the inflection-source and sink infinite-equilibriums. In such cubic systems, the appearing bifurcations are: saddle-source (sink) hyperbolic-to-hyperbolic-secant flows double-saddle third-order saddle, sink and source third-order saddle-source (sink)
Two-Dimensional Semiconductors: Synthesis, Physical Properties and Applications
by Jingbo Li Zhongming Wei Jun KangIn-depth overview of two-dimensional semiconductors from theoretical studies, properties to emerging applications! Two-dimensional (2D) materials have attracted enormous attention due to their exotic properties deriving from their ultrathin dimensions. 2D materials, such as graphene, transition metal dichalcogenides, transition metal oxides, black phosphorus and boron nitride, exhibit versatile optical, electronic, catalytic and mechanical properties, thus can be used in a wide range of applications, including electronics, optoelectronics and optical applications. Two-Dimensional Semiconductors: Synthesis, Physical Properties and Applications provides an in-depth view of 2D semiconductors from theoretical studies, properties to applications, taking into account the current state of research and development. It introduces various preparation methods and describes in detail the physical properties of 2D semiconductors including 2D alloys and heterostructures. The covered applications include, but are not limited to, field-effect transistors, spintronics, solar cells, photodetectors, light-emitting diode, sensors and bioelectronics. Highly topical: 2D materials are a rapidly advancing field that attracts increasing attention Concise overview: covers theoretical studies, preparation methods, physical properties, potential applications, the challenges and opportunities Application oriented: focuses on 2D semiconductors that can be used in various applications such as field-effect transistors, solar cells, sensors and bioelectronics Highly relevant: newcomers as well as experienced researchers in the field of 2D materials will benefit from this book Two-Dimensional Semiconductors: Synthesis, Physical Properties and Applications is written for materials scientists, semiconductor and solid state physicists, electrical engineers, and readers working in the semiconductor industry.
Two-dimensional Signal Analysis
by René GarelloThis title sets out to show that 2-D signal analysis has its own role to play alongside signal processing and image processing. Concentrating its coverage on those 2-D signals coming from physical sensors (such as radars and sonars), the discussion explores a 2-D spectral approach but develops the modeling of 2-D signals and proposes several data-oriented analysis techniques for dealing with them. Coverage is also given to potential future developments in this area.
Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol. I: A Self-univariate Cubic Vector Field
by Albert C. LuoThis book is the first of 15 related monographs, presents systematically a theory of cubic nonlinear systems with single-variable vector fields. The cubic vector fields are of self-variables and are discussed as the first part of the book. The 1-dimensional flow singularity and bifurcations are discussed in such cubic systems. The appearing and switching bifurcations of the 1-dimensional flows in such 2-dimensional cubic systems are for the first time to be presented. Third-order source and sink flows are presented, and the third-order parabola flows are also presented. The infinite-equilibriums are the switching bifurcations for the first and third-order source and sink flows, and the second-order saddle flows with the first and third-order parabola flows, and the inflection flows. The appearing bifurcations in such cubic systems includes saddle flows and third-order source (sink) flows, inflection flows and third-order up (down)-parabola flows.
Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol II: A Crossing-variable Cubic Vector Field
by Albert C. LuoThis book, the second of 15 related monographs, presents systematically a theory of cubic nonlinear systems with single-variable vector fields. The cubic vector fields are of crossing-variables, which are discussed as the second part. The 1-dimensional flow singularity and bifurcations are discussed in such cubic systems. The appearing and switching bifurcations of the 1-dimensional flows in such 2-diemnsional cubic systems are for the first time to be presented. Third-order parabola flows are presented, and the upper and lower saddle flows are also presented. The infinite-equilibriums are the switching bifurcations for the first and third-order parabola flows, and inflection flows with the first source and sink flows, and the upper and lower-saddle flows. The appearing bifurcations in such cubic systems includes inflection flows and third-order parabola flows, upper and lower-saddle flows. Readers will learn new concepts, theory, phenomena, and analytic techniques, including Constant and crossing-cubic systems Crossing-linear and crossing-cubic systems Crossing-quadratic and crossing-cubic systems Crossing-cubic and crossing-cubic systems Appearing and switching bifurcations Third-order centers and saddles Parabola-saddles and inflection-saddles Homoclinic-orbit network with centers Appearing bifurcations