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| Author | : Leonid P Shilnikov |
| Publisher | : World Scientific |
| Total Pages | : 418 |
| Release | : 1998-12-08 |
| Genre | : Science |
| ISBN | : 9814496421 |
Download Methods Of Qualitative Theory In Nonlinear Dynamics (Part I) Book in PDF, ePub and Kindle
Bifurcation and Chaos has dominated research in nonlinear dynamics for over two decades and numerous introductory and advanced books have been published on this subject. There remains, however, a dire need for a textbook which provides a pedagogically appealing yet rigorous mathematical bridge between these two disparate levels of exposition. This book is written to serve the above unfulfilled need.Following the footsteps of Poincaré, and the renowned Andronov school of nonlinear oscillations, this book focuses on the qualitative study of high-dimensional nonlinear dynamical systems. Many of the qualitative methods and tools presented in this book were developed only recently and have not yet appeared in a textbook form.In keeping with the self-contained nature of this book, all topics are developed with an introductory background and complete mathematical rigor. Generously illustrated and written with a high level of exposition, this book will appeal to both beginners and advanced students of nonlinear dynamics interested in learning a rigorous mathematical foundation of this fascinating subject.
| Author | : Leon O Chua |
| Publisher | : World Scientific |
| Total Pages | : 591 |
| Release | : 2001-09-27 |
| Genre | : Science |
| ISBN | : 9814494291 |
Download Methods Of Qualitative Theory In Nonlinear Dynamics (Part Ii) Book in PDF, ePub and Kindle
Bifurcation and chaos has dominated research in nonlinear dynamics for over two decades, and numerous introductory and advanced books have been published on this subject. There remains, however, a dire need for a textbook which provides a pedagogically appealing yet rigorous mathematical bridge between these two disparate levels of exposition. This book has been written to serve that unfulfilled need.Following the footsteps of Poincaré, and the renowned Andronov school of nonlinear oscillations, this book focuses on the qualitative study of high-dimensional nonlinear dynamical systems. Many of the qualitative methods and tools presented in the book have been developed only recently and have not yet appeared in textbook form.In keeping with the self-contained nature of the book, all the topics are developed with introductory background and complete mathematical rigor. Generously illustrated and written at a high level of exposition, this invaluable book will appeal to both the beginner and the advanced student of nonlinear dynamics interested in learning a rigorous mathematical foundation of this fascinating subject.
| Author | : Leonid P. Shilnikov |
| Publisher | : World Scientific |
| Total Pages | : 420 |
| Release | : 1998 |
| Genre | : Science |
| ISBN | : 9789810233822 |
Download Methods of Qualitative Theory in Nonlinear Dynamics Book in PDF, ePub and Kindle
Bifurcation and Chaos has dominated research in nonlinear dynamics for over two decades and numerous introductory and advanced books have been published on this subject. There remains, however, a dire need for a textbook which provides a pedagogically appealing yet rigorous mathematical bridge between these two disparate levels of exposition. This book is written to serve the above unfulfilled need. Following the footsteps of Poincare, and the renowned Andronov school of nonlinear oscillations, this book focuses on the qualitative study of high-dimensional nonlinear dynamical systems. Many of the qualitative methods and tools presented in this book were developed only recently and have not yet appeared in a textbook form. In keeping with the self-contained nature of this book, all topics are developed with an introductory background and complete mathematical rigor. Generously illustrated and written with a high level of exposition, this book will appeal to both beginners and advanced studentsof nonlinear dynamics interested in learning a rigorous mathematical foundation of this fascinating subject.
| Author | : L. P. Shilʹnikov |
| Publisher | : |
| Total Pages | : 957 |
| Release | : 1998 |
| Genre | : Nonlinear mechanics |
| ISBN | : 9789810233822 |
Download Methods of Qualitative Theory in Nonlinear Dynamics Book in PDF, ePub and Kindle
Bifurcation and Chaos has dominated research in nonlinear dynamics for over two decades and numerous introductory and advanced books have been published on this subject. There remains, however, a dire need for a textbook which provides a pedagogically appealing yet rigorous mathematical bridge between these two disparate levels of exposition. This book is written to serve the above unfulfilled need. Following the footsteps of Poincare, and the renowned Andronov school of nonlinear oscillations, this book focuses on the qualitative study of high-dimensional nonlinear dynamical systems. Many of the qualitative methods and tools presented in this book were developed only recently and have not yet appeared in a textbook form. In keeping with the self-contained nature of this book, all topics are developed with an introductory background and complete mathematical rigor. Generously illustrated and written with a high level of exposition, this book will appeal to both beginners and advanced students of nonlinear dynamics interested in learning a rigorous mathematical foundation of this fascinating subject
| Author | : Leonid P. Shilnikov |
| Publisher | : |
| Total Pages | : |
| Release | : 2001 |
| Genre | : |
| ISBN | : |
Download Methods of Qualitative Theory in Nonlinear Dynamics Book in PDF, ePub and Kindle
| Author | : |
| Publisher | : |
| Total Pages | : 0 |
| Release | : |
| Genre | : Nonlinear mechanics |
| ISBN | : |
Download Methods of Qualitative Theory in Nonlinear Dynamics: Structurally Stable Systems Book in PDF, ePub and Kindle
| Author | : |
| Publisher | : |
| Total Pages | : 0 |
| Release | : |
| Genre | : Nonlinear mechanics |
| ISBN | : |
Download Methods of Qualitative Theory in Nonlinear Dynamics: Basic Concepts Book in PDF, ePub and Kindle
| Author | : Leon O Chua |
| Publisher | : World Scientific |
| Total Pages | : 397 |
| Release | : 2006-06-08 |
| Genre | : Science |
| ISBN | : 9814478687 |
Download Nonlinear Dynamics Perspective Of Wolfram's New Kind Of Science, A (In 2 Volumes) - Volume I Book in PDF, ePub and Kindle
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.';
| Author | : A.A. Martynyuk |
| Publisher | : CRC Press |
| Total Pages | : 326 |
| Release | : 2001-11-05 |
| Genre | : Mathematics |
| ISBN | : 9780824707354 |
Download Qualitative Methods in Nonlinear Dynamics Book in PDF, ePub and Kindle
"Presents new approaches to qualitative analysis of continuous, discreteptime, and impulsive nonlinear systems via Liapunov matrix-valued functions that introduce more effective tests for solving problems of estimating the domains of asymptotic stability."
| Author | : Hernán González-Aguilar |
| Publisher | : Springer |
| Total Pages | : 243 |
| Release | : 2015-02-10 |
| Genre | : Technology & Engineering |
| ISBN | : 3319098640 |
Download Nonlinear Dynamics New Directions Book in PDF, ePub and Kindle
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
