Qualitative Methods In Nonlinear Dynamics
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Methods Of Qualitative Theory In Nonlinear Dynamics Part Ii
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Author : Leon O Chua
language : en
Publisher: World Scientific
Release Date : 2001-09-27
Methods Of Qualitative Theory In Nonlinear Dynamics Part Ii 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 2001-09-27 with Science categories.
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.
Qualitative Methods In Nonlinear Dynamics
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Author : A.A. Martynyuk
language : en
Publisher: CRC Press
Release Date : 2001-11-05
Qualitative Methods In Nonlinear Dynamics written by A.A. Martynyuk and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-11-05 with Mathematics categories.
"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."
Methods Of Qualitative Theory In Nonlinear Dynamics
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Author : Leonid P. Shilnikov
language : en
Publisher: World Scientific
Release Date : 1998
Methods Of Qualitative Theory In Nonlinear Dynamics written by Leonid P. Shilnikov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Science categories.
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.
Methods Of Qualitative Theory In Nonlinear Dynamics
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Author : L. P. Shilʹnikov
language : en
Publisher:
Release Date : 1998
Methods Of Qualitative Theory In Nonlinear Dynamics written by L. P. Shilʹnikov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Nonlinear mechanics categories.
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
Methods Of Qualitative Theory In Nonlinear Dynamics
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Author : Leonid P. Shilnikov
language : en
Publisher:
Release Date : 2001
Methods Of Qualitative Theory In Nonlinear Dynamics written by Leonid P. Shilnikov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with categories.
Dynamical Systems Approaches To Nonlinear Problems In Systems And Circuits
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Author : Fathi M. Abdel Salam
language : en
Publisher: SIAM
Release Date : 1988-01-01
Dynamical Systems Approaches To Nonlinear Problems In Systems And Circuits written by Fathi M. Abdel Salam and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-01-01 with Science categories.
Qualitative And Quantitative Analysis Of Nonlinear Systems
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Author : Michael Z. Zgurovsky
language : en
Publisher: Springer
Release Date : 2017-07-11
Qualitative And Quantitative Analysis Of Nonlinear Systems written by Michael Z. Zgurovsky and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-11 with Technology & Engineering categories.
Here, the authors present modern methods of analysis for nonlinear systems which may occur in fields such as physics, chemistry, biology, or economics. They concentrate on the following topics, specific for such systems: (a) constructive existence results and regularity theorems for all weak solutions; (b) convergence results for solutions and their approximations; (c) uniform global behavior of solutions in time; and (d) pointwise behavior of solutions for autonomous problems with possible gaps by the phase variables. The general methodology for the investigation of dissipative dynamical systems with several applications including nonlinear parabolic equations of divergent form, nonlinear stochastic equations of parabolic type, unilateral problems, nonlinear PDEs on Riemannian manifolds with or without boundary, contact problems as well as particular examples is established. As such, the book is addressed to a wide circle of mathematical, mechanical and engineering readers.
Nonlinear Dynamics Of Discrete And Continuous Systems
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Author : Andrei K. Abramian
language : en
Publisher: Springer Nature
Release Date : 2020-11-02
Nonlinear Dynamics Of Discrete And Continuous Systems written by Andrei K. Abramian and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-02 with Science categories.
This book commemorates the 60th birthday of Dr. Wim van Horssen, a specialist in nonlinear dynamic and wave processes in solids, fluids and structures. In honor of Dr. Horssen’s contributions to the field, it presents papers discussing topics such as the current problems of the theory of nonlinear dynamic processes in continua and structures; applications, including discrete and continuous dynamic models of structures and media; and problems of asymptotic approaches.
Methods And Applications Of Nonlinear Dynamics
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Author : A Saenz
language : en
Publisher: World Scientific
Release Date : 1988-05-01
Methods And Applications Of Nonlinear Dynamics written by A Saenz and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-05-01 with Mathematics categories.
The present volume on Methods and Applications of Nonlinear Dynamics arose mainly from lectures given at the First International Course on Nonlinear Dynamics, which took place in Medellin, Colombia, on 1-5 September 1986. The aims of the Course were to discuss some of the fundamental theoretical ideas of modem nonlinear dynamics and their application to selected areas of physics, and also to help the participants to bridge the gap between textbook presentations and the contemporary research literature. The lectures were intended for and delivered to a PhD-level audience composed of physicists and mathematicians. They were not primarily intended for experts, but rather for scientists interested in performing experimental or theoretical research on nonlinear dynamical phenomena occurring in real physical systems.
Patterns And Waves
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Author : T. Nishida
language : en
Publisher: Elsevier
Release Date : 2011-09-22
Patterns And Waves written by T. Nishida and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-22 with Mathematics categories.
Part I of this volume surveys the developments in the analysis of nonlinear phenomena in Japan during the past decade, while Part II consists of up-to-date original papers concerning qualitative theories and their applications. Dealt with here are nonlinear problems related to general analysis, fluid dynamics, mathematical biology and computer sciences, and their underlying mathematical structures, e.g. nonlinear waves and propagations, bifurcation phenomena, chaotic phenomena, and fractals. The volume is dedicated to Professor Masaya Yamaguti in celebration of his 60th birthday.