Advanced Topics On Cellular Self Organizing Nets And Chaotic Nonlinear Dynamics To Model And Control Complex Systems
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Advanced Topics On Cellular Self Organizing Nets And Chaotic Nonlinear Dynamics To Model And Control Complex Systems
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Author : Riccardo Caponetto
language : en
Publisher: World Scientific
Release Date : 2008
Advanced Topics On Cellular Self Organizing Nets And Chaotic Nonlinear Dynamics To Model And Control Complex Systems written by Riccardo Caponetto and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
This book focuses on the research topics investigated during the three-year research project funded by the Italian Ministero dell'Istruzione, dell'Universite e della Ricerca (MIUR: Ministry of Education, University and Research) under the FIRB project RBNE01CW3M. With the aim of introducing newer perspectives of the research on complexity, the final results of the project are presented after a general introduction to the subject. The book is intended to provide researchers, PhD students, and people involved in research projects in companies with the basic fundamentals of complex systems and the advanced project results recently obtained.
Advanced Topics On Cellular Self Organizing Nets And Chaotic Nonlinear Dynamics To Model And Control Complex Systems
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language : en
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Advanced Topics On Cellular Self Organizing Nets And Chaotic Nonlinear Dynamics To Model And Control Complex Systems written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Control Of Chaos In Nonlinear Circuits And Systems
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Author : Wing-Kuen Ling
language : en
Publisher: World Scientific
Release Date : 2009
Control Of Chaos In Nonlinear Circuits And Systems written by Wing-Kuen Ling and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Technology & Engineering categories.
In this book, leading researchers present their current work in the challenging area of chaos control in nonlinear circuits and systems, with emphasis on practical methodologies, system design techniques and applications. A combination of overview, tutorial and technical articles, the book describes state-of-the-art research on significant problems in this area. The scope and aim of this book are to bridge the gap between chaos control methods and circuits and systems. It is an ideal starting point for anyone who needs a fundamental understanding of controlling chaos in nonlinear circuits and systems.
Fractional Order Systems
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language : en
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Fractional Order Systems written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
A Nonlinear Dynamics Perspective Of Wolfram S New Kind Of Science
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Author : Leon O. Chua
language : en
Publisher: World Scientific
Release Date : 2011-03-30
A Nonlinear Dynamics Perspective Of Wolfram S New Kind Of Science written by Leon O. Chua and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-30 with Science categories.
Annotation This text introduces cellular automata from a rigorous nonlinear dynamics perspective. It supplies the missing link between nonlinear differential and difference equations to discrete symbolic analysis. It provides an analysis, and classification of the empirical results presented in Wolfram's 'New Kind of Science'.
Nonlinear Dynamics Perspective Of Wolfram S New Kind Of Science A Volume Iii
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Author : Leon O Chua
language : en
Publisher: World Scientific
Release Date : 2009-08-11
Nonlinear Dynamics Perspective Of Wolfram S New Kind Of Science A Volume Iii written by Leon O Chua and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-11 with Computers categories.
Volume III continues the author's quest for developing a pedagogical, self-contained, yet rigorous analytical theory of 1-D cellular automata via a nonlinear dynamics perspective. Using carefully conceived and illuminating color graphics, the global dynamical behaviors of the 50 (out of 256) local rules that have not yet been covered in Volumes I and II are exposed via their stunningly revealing basin tree diagrams. The Bernoulli στ-shift dynamics discovered in Volume II is generalized to hold for all 50 (or 18 globally equivalent) local rules via complex and hyper Bernoulli wave dynamics. Explicit global state transition formulas derived for rules 60, 90, 105, and 150 reveal a new scale-free phenomenon. The most surprising new result unveiled in this volume is the “Isle of Eden” found hidden in most (almost 90%) of the 256 local rules. Readers are challenged to hunt for long-period, isolated Isles of Eden. These are rare gems waiting to be discovered.
Differential Geometry Applied To Dynamical Systems
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Author : Jean-Marc Ginoux
language : en
Publisher: World Scientific
Release Date : 2009
Differential Geometry Applied To Dynamical Systems written by Jean-Marc Ginoux and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
This book aims to present a new approach called Flow Curvature Method that applies Differential Geometry to Dynamical Systems. Hence, for a trajectory curve, an integral of any n-dimensional dynamical system as a curve in Euclidean n-space, the curvature of the trajectory ? or the flow ? may be analytically computed. Then, the location of the points where the curvature of the flow vanishes defines a manifold called flow curvature manifold. Such a manifold being defined from the time derivatives of the velocity vector field, contains information about the dynamics of the system, hence identifying the main features of the system such as fixed points and their stability, local bifurcations of codimension one, center manifold equation, normal forms, linear invariant manifolds (straight lines, planes, hyperplanes).In the case of singularly perturbed systems or slow-fast dynamical systems, the flow curvature manifold directly provides the slow invariant manifold analytical equation associated with such systems. Also, starting from the flow curvature manifold, it will be demonstrated how to find again the corresponding dynamical system, thus solving the inverse problem.
Modeling By Nonlinear Differential Equations
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Author : Paul E. Phillipson
language : en
Publisher: World Scientific
Release Date : 2009
Modeling By Nonlinear Differential Equations written by Paul E. Phillipson and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
"This book aims to provide mathematical analyses of nonlinear differential equations, which have proved pivotal to understanding many phenomena in physics, chemistry and biology. Topics of focus are autocatalysis and dynamics of molecular evolution, relaxation oscillations, deterministic chaos, reaction diffusion driven chemical pattern formation, solitons and neuron dynamics. Included is a discussion of processes from the viewpoints of reversibility, reflected by conservative classical mechanics, and irreversibility introduced by the dissipative role of diffusion. Each chapter presents the subject matter from the point of one or a few key equations, whose properties and consequences are amplified by approximate analytic solutions that are developed to support graphical display of exact computer solutions."--back cover.
Robust Chaos And Its Applications
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Author : Elhadj Zeraoulia
language : en
Publisher: World Scientific
Release Date : 2012
Robust Chaos And Its Applications written by Elhadj Zeraoulia and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
Robust chaos is defined by the absence of periodic windows and coexisting attractors in some neighborhoods in the parameter space of a dynamical system. This unique book explores the definition, sources, and roles of robust chaos. The book is written in a reasonably self-contained manner and aims to provide students and researchers with the necessary understanding of the subject. Most of the known results, experiments, and conjectures about chaos in general and about robust chaos in particular are collected here in a pedagogical form. Many examples of dynamical systems, ranging from purely mathematical to natural and social processes displaying robust chaos, are discussed in detail. At the end of each chapter is a set of exercises and open problems intended to reinforce the ideas and provide additional experiences for both readers and researchers in nonlinear science in general, and chaos theory in particular.
2 D Quadratic Maps And 3 D Ode Systems
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language : en
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2 D Quadratic Maps And 3 D Ode Systems written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.