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Dynamic Systems for Everyone

by Asish Ghosh

Systems are everywhere and we are surrounded by them. We are a complex amalgam of systems that enable us to interact with an endless array of external systems in our daily lives. They are electrical, mechanical, social, biological, and many other types that control our environment and our well-being. By appreciating how these systems function, will broaden our understanding of how our world works. Readers from a variety of disciplines will benefit from the knowledge of system behavior they will gain from this book and will be able to apply those principles in various contexts. The treatment of the subject is non-mathematical, and the book considers some of the latest concepts in the systems discipline, such as agent based systems, optimization, and discrete events and procedures. The diverse range of examples provided in this book, will allow readers to: Apply system knowledge at work and in daily life without deep mathematical knowled≥ Build models and simulate system behaviors on a personal computer; Optimize systems in many different ways; Reduce or eliminate unintended consequences; Develop a holistic world view . This book will enable readers to not only better interact with the systems in their professional and daily lives, but also allow them to develop and evaluate them for their effectiveness in achieving their designed purpose. Comments from Reviewers: "This is a marvelously well written introduction to Systems Thinking and System Dynamics - I like it because it introduces Systems Thinking with meaningful examples, which everyone should be able to readily connect" - Gene Bellinger, Organizational theorist, systems thinker, and consultant, Director Systems Thinking World "Excellent book . . . very well written. Mr. Ghosh's world view of system thinking is truly unique" - Peter A. Rizzi, Professor Emeritus, University of Massachusetts Dartmouth "A thorough reading of the book provides an interesting way to view many problems in our society" -Bradford T. Stokes, Poppleton Chair and Professor Emeritus, The Ohio State University College of Medicine "This is a very good and very readable book that is a must read for any person involved in systems theory in any way - which may actually include just about everyone" - Peter G. Martin, Vice President Business Value Consulting, Schneider Electric

Dynamic Systems for Everyone: Understanding How Our World Works

by Asish Ghosh

Systems are everywhere and we are surrounded by them. We are a complex amalgam of systems that enable us to interact with an endless array of external systems in our daily lives. They are electrical, mechanical, social, biological, and many other types that control our environment and our well-being. By appreciating how these systems function, will broaden our understanding of how our world works. Readers from a variety of disciplines will benefit from the knowledge of system behavior they will gain from this book and will be able to apply those principles in various contexts. The treatment of the subject is non-mathematical, and the book considers some of the latest concepts in the systems discipline, such as agent based systems, optimization, and discrete events and procedures. The diverse range of examples provided in this book, will allow readers to:Apply system knowledge at work and in daily life without deep mathematical knowledge;Build models and simulate system behaviors on a personal computer; Optimize systems in many different ways;Reduce or eliminate unintended consequences;Develop a holistic world view .This book will enable readers to not only better interact with the systems in their professional and daily lives, but also allow them to develop and evaluate them for their effectiveness in achieving their designed purpose.Comments from Reviewers: “This is a marvelously well written introduction to Systems Thinking and System Dynamics - I like it because it introduces Systems Thinking with meaningful examples, which everyone should be able to readily connect” - Gene Bellinger, Organizational theorist, systems thinker, and consultant, Director Systems Thinking World “Excellent book ...very well written. Mr. Ghosh's world view of system thinking is truly unique” - Peter A. Rizzi, Professor Emeritus, University of Massachusetts Dartmouth “A thorough reading of the book provides an interesting way to view many problems in our society” –Bradford T. Stokes, Poppleton Chair and Professor Emeritus, The Ohio State University College of Medicine “This is a very good and very readable book that is a must read for any person involved in systems theory in any way - which may actually include just about everyone” - Peter G. Martin, Vice President Business Value Consulting, Schneider Electric

Dynamic Systems In Management Science

by Alexis Lazaridis

Dynamic Systems in Management Science explores the important gaps in the existing literature on operations research and management science by providing new and operational methods which are tested in practical environment and a variety of new applications.

Dynamic Systems Modeling and Optimal Control: Applications In Management Science

by Victoria W. Miroshnik Dipak Basu

Dynamic Systems Modelling and Optimal Control explores the applications of oil field development, energy system modelling, resource modelling, time varying control of dynamic system of national economy, and investment planning.

Dynamic Systems with Time Delays: Stability And Control

by Ju H. Park Tae H. Lee Yajuan Liu Jun Chen

This book presents up-to-date research developments and novel methodologies to solve various stability and control problems of dynamic systems with time delays. First, it provides the new introduction of integral and summation inequalities for stability analysis of nominal time-delay systems in continuous and discrete time domain, and presents corresponding stability conditions for the nominal system and an applicable nonlinear system. Next, it investigates several control problems for dynamic systems with delays including H(infinity) control problemEvent-triggered control problems; Dynamic output feedback control problems; Reliable sampled-data control problems. Finally, some application topics covering filtering, state estimation, and synchronization are considered. The book will be a valuable resource and guide for graduate students, scientists, and engineers in the system sciences and control communities.

The Dynamic Terrorist Threat: An Assessment of Group Motivations and Capabilities in a Changing World

by Cheryl Y. Marcum Susan S. Everingham Jill Hoube Kim Cragin M. Rebecca Kilburn Sara A. Daly

As the war on terrorism wages on, our nation's policymakers will continue to face the challenge of assessing threats that various terrorist groups pose to the U.S. homeland and our interests abroad. As part of the RAND Corporation's yearlong "Thinking Strategically About Combating Terrorism" project, the authors of this report develop a way to assess and analyze the danger posed by various terrorist organizations around the world. The very nature of terrorism creates a difficulty in predicting new and emerging threats; however, by establishing these types of parameters, the report creates a fresh foundation of threat analysis on which future counterterrorism strategy may build.

Dynamic Wetting by Nanofluids

by Gui Lu

This PhD thesis presents the latest research findings on nanofluid wetting kinetics, which has wide applications in nano/microscale processes and devices. It analyzes complex dynamic wetting by nanofluids using both experiments and multi-scale simulation methods, and presents multiscale (from nano to macroscale) mechanisms and tunable methods to elucidate and control nanofluid dynamic wetting. The book is of interest to university researchers, R&D engineers and graduate students in surface science, materials science and thermal engineering.

Dynamical Analysis of Non-Fourier Heat Conduction and Its Application in Nanosystems

by Yuan Dong

This thesis studies the general heat conduction law, irreversible thermodynamics and the size effect of thermal conductivity exhibited in nanosystems from the perspective of recently developed thermomass theory. The derivation bridges the microscopic phonon Boltzmann equation and macroscopic continuum mechanics. Key concepts such as entropy production, temperature and the Onsager reciprocal relation are revisited in the case of non-Fourier heat conduction. Lastly, useful expressions are extracted from the picture of phonon gas dynamics and are used to successfully predict effective thermal conductivity in nanosystems.

Dynamical Behaviors of Fractional-Order Complex Dynamical Networks

by Jin-Liang Wang

This book benefits researchers, engineers, and graduate students in the field of fractional-order complex dynamical networks. Recently, the dynamical behaviors (e.g., passivity, finite-time passivity, synchronization, and finite-time synchronization, etc.) for fractional-order complex networks (FOCNs) have attracted considerable research attention in a wide range of fields, and a variety of valuable results have been reported. In particular, passivity has been extensively used to address the synchronization of FOCNs.

Dynamical Chaos in Planetary Systems (Astrophysics and Space Science Library #463)

by Ivan I. Shevchenko

This is the first monograph dedicated entirely to problems of stability and chaotic behaviour in planetary systems and its subsystems. The author explores the three rapidly developing interplaying fields of resonant and chaotic dynamics of Hamiltonian systems, the dynamics of Solar system bodies, and the dynamics of exoplanetary systems. The necessary concepts, methods and tools used to study dynamical chaos (such as symplectic maps, Lyapunov exponents and timescales, chaotic diffusion rates, stability diagrams and charts) are described and then used to show in detail how the observed dynamical architectures arise in the Solar system (and its subsystems) and in exoplanetary systems. The book concentrates, in particular, on chaotic diffusion and clearing effects. The potential readership of this book includes scientists and students working in astrophysics, planetary science, celestial mechanics, and nonlinear dynamics.

Dynamical Characteristics of Inertia-Gravity Waves in the Antarctic Mesosphere: Analyses Combining High-Resolution Observations and Modeling (Springer Theses)

by Ryosuke Shibuya

This book examines the origins and dynamical characteristics of atmospheric inertia-gravity waves in the Antarctic mesosphere. Gravity waves are relatively small-scale atmospheric waves with a restoring force of buoyancy that can transport momentum upward from the troposphere to the middle atmosphere. In previous studies, the dynamical characteristics of mesospheric gravity waves have not been fully examined using numerical simulations, since performing a numerical simulation with a high resolution and a high model-top requires considerable computational power. However, recent advances in computational capabilities have allowed us to perform numerical simulations using atmospheric general circulation models, which cover the troposphere to the mesosphere with a sufficiently fine horizontal resolution to resolve small-scale gravity waves. The book first describes the simulation of mesospheric gravity waves using a high-resolution non-hydrostatic atmospheric model with a high model top. The accuracy of the numerical results was confirmed by the first Mesosphere-Stratosphere-Troposphere/Incoherent Scattering (MST/IS) radar observation in the Antarctic. It also depicts the origins and propagation processes of mesospheric gravity waves on the basis of the results of the high-resolution numerical model. The behaviors of mesospheric gravity waves can be clearly explained using both fundamental and cutting-edge theories of fluid dynamics

Dynamical Mean-Field Theory for Strongly Correlated Materials

by Volodymyr Turkowski

​​This is the first book that provides a detailed summary of one of the most successful new condensed matter theories - dynamical mean-field theory (DMFT) - in both static and dynamical cases of systems of different sizes. DMFT is one of the most successful approaches to describe the physical properties of systems with strong electron-electron correlations such as bulk materials, multi-layers, surfaces, 2D materials and nanostructures in both metallic and insulating phases. Strongly correlated materials usually include partially-filled localized d- or f-orbitals, and DMFT takes into account crucial for these systems time-resolved interaction between electrons when they “meet” on one atom and occupy one of these orbitals. The First Part of the book covers the general formalism of DMFT as a many-body theory, followed by generalizations of the approach on the cases of finite systems and out-of-equilibrium regime. In the last Chapter of the First Part we discuss generalizations of the approach on the case when the non-local interactions are taken into account. The Second Part of the book covers methodologies of merging DMFT with ab initio static Density Functional Theory (DFT) and Time-Dependent DFT (TDDFT) approaches. Such combined DFT+DMFT and DMFT+TDDFT computational techniques allow one to include the effects of strong electron-electron correlations at the accurate ab initio level. These tools can be applied to complex multi-atom multi-orbital systems currently not accessible to DMFT. The book helps broad audiences of students and researchers from the theoretical and computational communities of condensed matter physics, material science, and chemistry to become familiar with this state-of-art approach and to use it for reaching a deeper understanding of the properties of strongly correlated systems and for synthesis of new technologically-important materials.

A Dynamical Perspective on the ɸ4 Model: Past, Present and Future (Nonlinear Systems and Complexity #26)

by Panayotis G. Kevrekidis Jesús Cuevas-Maraver

This book presents a careful selection of the most important developments of the \phi^4 model, offering a judicious summary of this model with a view to future prospects and the challenges ahead. Over the past four decades, the \phi^4 model has been the basis for a broad array of developments in the physics and mathematics of nonlinear waves. From kinks to breathers, from continuum media to discrete lattices, from collisions of solitary waves to spectral properties, and from deterministic to stochastic models of \phi^4 (and \phi^6, \phi^8, \phi^12 variants more recently), this dynamical model has served as an excellent test bed for formulating and testing the ideas of nonlinear science and solitary waves.

Dynamical Phase Transitions in Chaotic Systems (Nonlinear Physical Science)

by Edson Denis Leonel

This book discusses some scaling properties and characterizes two-phase transitions for chaotic dynamics in nonlinear systems described by mappings. The chaotic dynamics is determined by the unpredictability of the time evolution of two very close initial conditions in the phase space. It yields in an exponential divergence from each other as time passes. The chaotic diffusion is investigated, leading to a scaling invariance, a characteristic of a continuous phase transition. Two different types of transitions are considered in the book. One of them considers a transition from integrability to non-integrability observed in a two-dimensional, nonlinear, and area-preserving mapping, hence a conservative dynamics, in the variables action and angle. The other transition considers too the dynamics given by the use of nonlinear mappings and describes a suppression of the unlimited chaotic diffusion for a dissipative standard mapping and an equivalent transition in the suppression of Fermi acceleration in time-dependent billiards. This book allows the readers to understand some of the applicability of scaling theory to phase transitions and other critical dynamics commonly observed in nonlinear systems. That includes a transition from integrability to non-integrability and a transition from limited to unlimited diffusion, and that may also be applied to diffusion in energy, hence in Fermi acceleration. The latter is a hot topic investigated in billiard dynamics that led to many important publications in the last few years. It is a good reference book for senior- or graduate-level students or researchers in dynamical systems and control engineering, mathematics, physics, mechanical and electrical engineering.

Dynamical Processes in Generalized Continua and Structures (Advanced Structured Materials #103)

by Holm Altenbach Alexander Belyaev Victor A. Eremeyev Anton Krivtsov Alexey V. Porubov

This book presents a collection of chapters on the current problems of the theory of dynamical processes in generalized continua and structures, and has been compiled to commemorate the 70th birthday of Prof. Dmitry Indeitsev – a leading specialist in the field of dynamical processes in solids, fluids and structures. It discusses various applications related to Prof. Indeitsev’s contributions, including various discrete and continuous dynamic models of structures and media, as well as a number of dynamical processes in generalized media.

Dynamical Processes on Complex Networks

by Alain Barrat Marc Barthélemy Alessandro Vespignani

The availability of large data sets have allowed researchers to uncover complex properties such as large scale fluctuations and heterogeneities in many networks which have lead to the breakdown of standard theoretical frameworks and models. Until recently these systems were considered as haphazard sets of points and connections. Recent advances have generated a vigorous research effort in understanding the effect of complex connectivity patterns on dynamical phenomena. For example, a vast number of everyday systems, from the brain to ecosystems, power grids and the Internet, can be represented as large complex networks. This new and recent account presents a comprehensive explanation of these effects.

Dynamical Processes on Complex Networks

by Alain Barrat Marc Barthélemy Alessandro Vespignani

The availability of large data sets have allowed researchers to uncover complex properties such as large scale fluctuations and heterogeneities in many networks which have lead to the breakdown of standard theoretical frameworks and models. Until recently these systems were considered as haphazard sets of points and connections. Recent advances have generated a vigorous research effort in understanding the effect of complex connectivity patterns on dynamical phenomena. For example, a vast number of everyday systems, from the brain to ecosystems, power grids and the Internet, can be represented as large complex networks. This new and recent account presents a comprehensive explanation of these effects.

The Dynamical Projectors Method: Hydro and Electrodynamics

by Sergey Leble Anna Perelomova

The dynamical projectors method proves to reduce a multicomponent problem to the simplest one-component problem with its solution determined by specific initial or boundary conditions. Its universality and application in many different physical problems make it particularly useful in hydrodynamics, electrodynamics, plasma physics, and boundary layer problems. A great variety of underlying mechanisms are included making this book useful for those working in wave theory, hydrodynamics, electromagnetism, and applications. "The authors developed a universal and elegant tool – dynamical projector method. Using this method for very complicated hydro-thermodynamic and electrodynamics problem settings, they were able to get a lot of interesting analytical results in areas where before often just numerical methods were applicable." —L. A. Bordag, University of Applied Sciences Zittau/Görlitz, Zittau, Germany "The book is intended for professionals working in various fields of linear and nonlinear mathematical physics, partial differential equations and theoretical physics. The book is written clearly, and in my opinion, its material will be useful and easy to understand for professionals and for students familiar with ordinary and partial differential equations." —Sergey Dobrokhotov, Russian Academy of Sciences, Moscow, Russia

Dynamical Properties of Baryon Resonances in the Holographic QCD (Springer Theses)

by Daisuke Fujii

This book focuses on the study of the dynamical properties of hadron resonances, especially their transition processes by electromagnetic and strong interactions, by using the holographic quantum chromodynamics (QCD) model. Understanding the nature of hadrons leads to revealing non-perturbative phenomena that are prominent in the low-energy region of QCD. However, there remain many open questions regarding the nature of resonant states. Holographic QCD is one of the most powerful methods to elucidate non-perturbative phenomena in QCD. We will attempt to investigate the dynamical properties of hadron resonances using the Sakai-Sugimoto model, which has achieved much success in the study of hadron physics. In particular, we studied the transition process of hadrons through the calculation of the form factors of them employing the approach of holographic QCD. The book contains a systematic review of the treatment of hadron physics by the Sakai-Sugimoto model. It further covers how to calculate the form factors of baryons through the calculation of the n-point function from holographic QCD. It also includes remarks on the modern understanding of hadron physics. The method of collective coordinate quantization of solitons—Skyrmion and Instanton—is also explained in a concise manner. These are useful not only for students and young researchers interested in this field.

Dynamical System and Chaos: An Introduction with Applications (UNITEXT for Physics)

by Rui Dilão

This textbook introduces the language and the techniques of the theory of dynamical systems of finite dimension for an audience of physicists, engineers, and mathematicians at the beginning of graduation. Author addresses geometric, measure, and computational aspects of the theory of dynamical systems. Some freedom is used in the more formal aspects, using only proofs when there is an algorithmic advantage or because a result is simple and powerful. The first part is an introductory course on dynamical systems theory. It can be taught at the master's level during one semester, not requiring specialized mathematical training. In the second part, the author describes some applications of the theory of dynamical systems. Topics often appear in modern dynamical systems and complexity theories, such as singular perturbation theory, delayed equations, cellular automata, fractal sets, maps of the complex plane, and stochastic iterations of function systems are briefly explored for advanced students. The author also explores applications in mechanics, electromagnetism, celestial mechanics, nonlinear control theory, and macroeconomy. A set of problems consolidating the knowledge of the different subjects, including more elaborated exercises, are provided for all chapters.

Dynamical System Synchronization

by Albert C. Luo

Dynamical System Synchronization (DSS) meticulously presents for the first time the theory of dynamical systems synchronization based on the local singularity theory of discontinuous dynamical systems. The book details the sufficient and necessary conditions for dynamical systems synchronizations, through extensive mathematical expression. Techniques for engineering implementation of DSS are clearly presented compared with the existing techniques.

Dynamical Systems: Theories and Applications

by Zeraoulia Elhadj

Chaos is the idea that a system will produce very different long-term behaviors when the initial conditions are perturbed only slightly. Chaos is used for novel, time- or energy-critical interdisciplinary applications. Examples include high-performance circuits and devices, liquid mixing, chemical reactions, biological systems, crisis management, secure information processing, and critical decision-making in politics, economics, as well as military applications, etc. This book presents the latest investigations in the theory of chaotic systems and their dynamics. The book covers some theoretical aspects of the subject arising in the study of both discrete and continuous-time chaotic dynamical systems. This book presents the state-of-the-art of the more advanced studies of chaotic dynamical systems.

Dynamical Systems

by Albert C. Luo

Dynamical Systems: Discontinuous, Stochasticity and Time-Delay provides an overview of the most recent developments in nonlinear dynamics, vibration and control. This book focuses on the most recent advances in all three areas, with particular emphasis on recent analytical, numerical and experimental research and its results. Real dynamical system problems, such as the behavior of suspension systems of railways, nonlinear vibration and applied control in coal manufacturing, along with the multifractal spectrum of LAN traffic, are discussed at length, giving the reader a sense of real-world instances where these theories are applied. Dynamical Systems: Discontinuous, Stochasticity and Time-Delay also contains material on time-delay systems as they relate to linear switching, dynamics of complex networks, and machine tools with multiple boundaries. It is the ideal book for engineers and academic researchers working in areas like mechanical and control engineering, as well as applied mathematics.

Dynamical Systems and Methods

by Dumitru Baleanu Albert C. Luo José António Machado

Nonlinear Systems and Methods For Mechanical, Electrical and Biosystems presents topics observed at the 3rd Conference on Nonlinear Science and Complexity(NSC), focusing on energy transfer and synchronization in hybrid nonlinear systems. The studies focus on fundamental theories and principles,analytical and symbolic approaches, computational techniques in nonlinear physical science and mathematics. Broken into three parts, the text covers: Parametrical excited pendulum, nonlinear dynamics in hybrid systems, dynamical system synchronization and (N+1) body dynamics as well as new views different from the existing results in nonlinear dynamics, mathematical methods for dynamical systems including conservation laws, dynamical symmetry in nonlinear differential equations and invex energies and nonlinear phenomena in physical problems such as solutions, complex flows, chemical kinetics, Toda lattices and parallel manipulator. This book is useful to scholars, researchers and advanced technical members of industrial laboratory facilities developing new tools and products.

Dynamical Systems in Population Biology

by Xiao-Qiang Zhao

Population dynamics is an important subject in mathematical biology. A cen#65533; tral problem is to study the long-term behavior of modeling systems. Most of these systems are governed by various evolutionary equations such as difference, ordinary, functional, and partial differential equations (see, e. g. , [165, 142, 218, 119, 55]). As we know, interactive populations often live in a fluctuating environment. For example, physical environmental conditions such as temperature and humidity and the availability of food, water, and other resources usually vary in time with seasonal or daily variations. Therefore, more realistic models should be nonautonomous systems. In particular, if the data in a model are periodic functions of time with commensurate period, a periodic system arises; if these periodic functions have different (minimal) periods, we get an almost periodic system. The existing reference books, from the dynamical systems point of view, mainly focus on autonomous biological systems. The book of Hess [106J is an excellent reference for periodic parabolic boundary value problems with applications to population dynamics. Since the publication of this book there have been extensive investigations on periodic, asymptotically periodic, almost periodic, and even general nonautonomous biological systems, which in turn have motivated further development of the theory of dynamical systems. In order to explain the dynamical systems approach to periodic population problems, let us consider, as an illustration, two species periodic competitive systems dUI dt = !I(t,Ul,U2), (0.

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