Edgardo Ugalde - Böcker
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5 produkter
5 produkter
Del 2 - Monograph Series on Nonlinear Science and Complexity
Fractal Dimensions for Poincare Recurrences
Inbunden, Engelska, 2006
1 825 kr
Skickas inom 7-10 vardagar
This book is devoted to an important branch of the dynamical systems theory : the study of the fine (fractal) structure of Poincare recurrences -instants of time when the system almost repeats its initial state. The authors were able to write an entirely self-contained text including many insights and examples, as well as providing complete details of proofs. The only prerequisites are a basic knowledge of analysis and topology. Thus this book can serve as a graduate text or self-study guide for courses in applied mathematics or nonlinear dynamics (in the natural sciences). Moreover, the book can be used by specialists in applied nonlinear dynamics following the way in the book. The authors applied the mathematical theory developed in the book to two important problems: distribution of Poincare recurrences for nonpurely chaotic Hamiltonian systems and indication of synchronization regimes in coupled chaotic individual systems.
* Portions of the book were published in an article that won the title "month's new hot paper in the field of Mathematics" in May 2004* Rigorous mathematical theory is combined with important physical applications* Presents rules for immediate action to study mathematical models of real systems* Contains standard theorems of dynamical systems theory
Del 12 - Nonlinear Systems and Complexity
Nonlinear Dynamics New Directions
Models and Applications
Inbunden, Engelska, 2015
1 064 kr
Skickas inom 10-15 vardagar
Nonlinear Dynamics New Directions
Del 11 - Nonlinear Systems and Complexity
Nonlinear Dynamics New Directions
Theoretical Aspects
Inbunden, Engelska, 2015
1 064 kr
Skickas inom 10-15 vardagar
This book, along with its companion volume, Nonlinear Dynamics New Directions: Models and Applications, covers topics ranging from fractal analysis to very specific applications of the theory of dynamical systems to biology. This first volume is devoted to fundamental aspects and includes a number of important new contributions as well as some review articles that emphasize new development prospects. The second volume contains mostly new applications of the theory of dynamical systems to both engineering and biology. The topics addressed in the two volumes include a rigorous treatment of fluctuations in dynamical systems, topics in fractal analysis, studies of the transient dynamics in biological networks, synchronization in lasers, and control of chaotic systems, among others.This book also:· Presents a rigorous treatment of fluctuations in dynamical systems and explores a range of topics in fractal analysis, among other fundamental topics· Features recent developments on large deviations for higher-dimensional maps, a study of measures resisting multifractal analysis and a overview of complex Kleninan groups· Includes thorough review of recent findings that emphasize new development prospects
1 409 kr
Skickas inom 5-8 vardagar
This book, along with its companion volume, Nonlinear Dynamics New Directions: Models and Applications, covers topics ranging from fractal analysis to very specific applications of the theory of dynamical systems to biology. This first volume is devoted to fundamental aspects and includes a number of important new contributions as well as some review articles that emphasize new development prospects. The second volume contains mostly new applications of the theory of dynamical systems to both engineering and biology. The topics addressed in the two volumes include a rigorous treatment of fluctuations in dynamical systems, topics in fractal analysis, studies of the transient dynamics in biological networks, synchronization in lasers, and control of chaotic systems, among others.This book also:· Presents a rigorous treatment of fluctuations in dynamical systems and explores a range of topics in fractal analysis, among other fundamental topics· Features recent developments on large deviations for higher-dimensional maps, a study of measures resisting multifractal analysis and a overview of complex Kleninan groups· Includes thorough review of recent findings that emphasize new development prospects
1 409 kr
Skickas inom 5-8 vardagar
This book, along with its companion volume, Nonlinear Dynamics New Directions: Theoretical Aspects, covers topics ranging from fractal analysis to very specific applications of the theory of dynamical systems to biology. This second volume contains mostly new applications of the theory of dynamical systems to both engineering and biology. The first volume is devoted to fundamental aspects and includes a number of important new contributions as well as some review articles that emphasize new development prospects. The topics addressed in the two volumes include a rigorous treatment of fluctuations in dynamical systems, topics in fractal analysis, studies of the transient dynamics in biological networks, synchronization in lasers, and control of chaotic systems, among others.This book also:· Develops applications of nonlinear dynamics on a diversity of topics such as patterns of synchrony in neuronal networks, laser synchronization, control of chaotic systems, and the study of transient dynamics in biological· Includes a study of self-organized regularity in long-range systems· Explains use of Levenstein's distance for measuring lexical evolution rates