Invariant Sets For Windows Resonance Structures Attractors Fractals And Patterns
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Invariant Sets For Windows Resonance Structures Attractors Fractals And Patterns
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Author : Svetlana A Boykova
language : en
Publisher: World Scientific
Release Date : 1999-11-29
Invariant Sets For Windows Resonance Structures Attractors Fractals And Patterns written by Svetlana A Boykova and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-11-29 with Science categories.
This book deals with the visualization and exploration of invariant sets (fractals, strange attractors, resonance structures, patterns etc.) for various kinds of nonlinear dynamical systems. The authors have created a special Windows 95 application called WInSet, which allows one to visualize the invariant sets. A WInSet installation disk is enclosed with the book.The book consists of two parts. Part I contains a description of WInSet and a list of the built-in invariant sets which can be plotted using the program. This part is intended for a wide audience with interests ranging from dynamical systems to computer design.In Part II, the invariant sets presented in Part I are investigated from the theoretical perspective. The invariant sets of dynamical systems with one, one-and-a-half and two degrees of freedom, as well as those of two-dimensional maps, are discussed. The basic models of the diffusion equations are also considered. This part of the book is intended for a more advanced reader, with at least a BSc in Mathematics.
Invariant Sets For Windows
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Author : Albert D. Morozov
language : en
Publisher: World Scientific
Release Date : 1999
Invariant Sets For Windows written by Albert D. Morozov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
This book deals with the visualization and exploration of invariant sets (fractals, strange attractors, resonance structures, patterns etc.) for various kinds of nonlinear dynamical systems. The authors have created a special Windows 96 application called WInSet, which allows one to visualize the invariant sets. A WInSet installation disk is enclosed with the book. The book consists of two parts. Part I contains a description of WlnSet and a list of the built-in invariant sets which can be plotted using the program. This part is intended for a wide audience with interests ranging from dynamical systems to computer design. In Part II, the invariant sets presented in Part I are investigated from the theoretical perspective. The invariant sets of dynamical systems with one, one-and-a-half and two degrees of freedom, as well as those of two-dimensional maps, are discussed. The basic models of the diffusion equations are also considered. This part of the book is intended for a more advanced reader, with at least a BSc in Mathematics.
Strange Nonchaotic Attractors Dynamics Between Order And Chaos In Quasiperiodically Forced Systems
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Author : Arkady S Pikovsky
language : en
Publisher: World Scientific
Release Date : 2006-04-26
Strange Nonchaotic Attractors Dynamics Between Order And Chaos In Quasiperiodically Forced Systems written by Arkady S Pikovsky and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-26 with Science categories.
This book is the first monograph devoted exclusively to strange nonchaotic attractors (SNA), recently discovered objects with a special kind of dynamical behavior between order and chaos in dissipative nonlinear systems under quasiperiodic driving. A historical review of the discovery and study of SNA, mathematical and physically-motivated examples, and a review of known experimental studies of SNA are presented. The main focus is on the theoretical analysis of strange nonchaotic behavior by means of different tools of nonlinear dynamics and statistical physics (bifurcation analysis, Lyapunov exponents, correlations and spectra, renormalization group). The relations of the subject to other fields of physics such as quantum chaos and solid state physics are also discussed.
Dynamics Of Crowd Minds Patterns Of Irrationality In Emotions Beliefs And Actions
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Author : Andrew Adamatzky
language : en
Publisher: World Scientific
Release Date : 2005-05-30
Dynamics Of Crowd Minds Patterns Of Irrationality In Emotions Beliefs And Actions written by Andrew Adamatzky and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-05-30 with Science categories.
A crowd-mind emerges when formation of a crowd causes fusion of individual minds into one collective mind. Members of the crowd lose their individuality. The deindividuation leads to derationalization: emotional, impulsive and irrational behavior, self-catalytic activities, memory impairment, perceptual distortion, hyper-responsiveness, and distortion of traditional forms and structures. This book presents unique results of computational studies on cognitive and affective space-time processes in large-scale collectives of abstract agents being far from mental equilibrium. Computational experiments demonstrate that the irrational and nonsensical behavior of individual entities of crowd-mind results in complex, rich and non-trivial spatio-temporal dynamics of the agent collectives. Mathematical methods employ theory and techniques of cellular-automata and lattice swarms, applied algebra, theory of finite automata and Markov chains, and elementary differential equations.
Nonlinear Dynamics Perspective Of Wolfram S New Kind Of Science A In 2 Volumes Volume I
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Author : Leon O Chua
language : en
Publisher: World Scientific
Release Date : 2006-06-08
Nonlinear Dynamics Perspective Of Wolfram S New Kind Of Science A In 2 Volumes Volume I 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 2006-06-08 with Science categories.
This novel book introduces cellular automata from a rigorous nonlinear dynamics perspective. It supplies the missing link between nonlinear differential and difference equations to discrete symbolic analysis. A surprisingly useful interpretations of cellular automata in terms of neural networks is also given. The book provides a scientifically sound and original analysis, and classifications of the empirical results presented in Wolfram's monumental ';New Kind of Science.';
Bio Inspired Emergent Control Of Locomotion Systems
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Author : Mattia Frasca
language : en
Publisher: World Scientific
Release Date : 2004
Bio Inspired Emergent Control Of Locomotion Systems written by Mattia Frasca and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Technology & Engineering categories.
This book deals with locomotion control of biologically inspired robots realized through an analog circuital paradigm as cellular nonlinear networks. It presents a general methodology for the control of bio-inspired robots and several case studies, as well as describes a new approach to motion control and the related circuit architecture.
Control Of Homoclinic Chaos By Weak Periodic Perturbations
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Author : Ricardo Chac¢n
language : en
Publisher: World Scientific
Release Date : 2005
Control Of Homoclinic Chaos By Weak Periodic Perturbations written by Ricardo Chac¢n and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Science categories.
This monograph presents a reasonably rigorous theory of a highly relevant chaos control method: suppression?enhancement of chaos by weak periodic excitations in low-dimensional, dissipative and non-autonomous systems. The theory provides analytical estimates of the ranges of parameters of the chaos-controlling excitation for suppression?enhancement of the initial chaos.The important applications of the theory presented in the book include: (1) control of chaotic escape from a potential well; (2) suppression of chaos in a driven Josephson junction; (3) control of chaotic solitons in Frenkel?Kontorova chains; (4) control of chaotic breather dynamics in perturbed sine-Gordon equations; (5) control of chaotic charged particles in electrostatic wave packets.
Applied Nonlinear Time Series Analysis
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Author : Michael Small
language : en
Publisher: World Scientific
Release Date : 2005
Applied Nonlinear Time Series Analysis written by Michael Small and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
A collection of photographs focusing on the fading traditions, heritage and culture in County Cork Ireland.
Cellular Neural Networks Multi Scroll Chaos And Synchronization
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Author : M?tak E. Yalin
language : en
Publisher: World Scientific
Release Date : 2005
Cellular Neural Networks Multi Scroll Chaos And Synchronization written by M?tak E. Yalin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Computers categories.
For engineering applications that are based on nonlinear phenomena, novel information processing systems require new methodologies and design principles. This perspective is the basis of the three cornerstones of this book: cellular neural networks, chaos and synchronization. Cellular neural networks and their universal machine implementations offer a well-established platform for processing spatial-temporal patterns and wave computing. Multi-scroll circuits are generalizations to the original Chua's circuit, leading to chip implementable circuits with increasingly complex attractors. Several applications make use of synchronization techniques for nonlinear systems. A systematic overview is given for Lur'e representable systems with global synchronization criteria for master-slave and mutual synchronization, robust synchronization, HV synchronization, time-delayed systems and impulsive synchronization.
Nonlinear And Parametric Phenomena
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Author : Vladimir Damgov
language : en
Publisher: World Scientific
Release Date : 2004
Nonlinear And Parametric Phenomena written by Vladimir Damgov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Science categories.
The book comprises a broad panorama of phenomena occurring in four major classes of radiophysical and mechanical systems linear, nonlinear, parametric, and nonlinear-parametric. An analytical technique for the broad circle of issues under consideration is developed. It is presented in a user-friendly form, allowing its further direct application in research practices. Analytical methods are presented for investigating modulation-parametric and nonlinear systems, oscillating systems with periodic and almost periodic time-dependent parameters, effects of adaptive self-organization in coupled resonance systems and oscillating systems under the action of external forces, nonlinear with respect to the coordinates of excited systems. Of an interdisciplinary nature, this volume can serve as a handbook for developing lecture courses such as Fundamentals of Nonlinear Dynamics and Theory of Nonlinear Oscillations, Theory of Nonlinear Circuits and Systems, Fundamentals of Radiophysics and Electronics, Theory of Signals and Theoretical Radiophysics, Theoretical Mechanics and Electrodynamics.