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Local And Global Methods Of Nonlinear Dynamics


Local And Global Methods Of Nonlinear Dynamics
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Local And Global Methods Of Nonlinear Dynamics


Local And Global Methods Of Nonlinear Dynamics
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Author : W. W. Zachary
language : en
Publisher:
Release Date : 1986

Local And Global Methods Of Nonlinear Dynamics written by W. W. Zachary and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with categories.




Local And Global Methods Of Nonlinear Dynamics


Local And Global Methods Of Nonlinear Dynamics
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Author : A. W. Zachary Saenz
language : en
Publisher:
Release Date : 2014-01-15

Local And Global Methods Of Nonlinear Dynamics written by A. W. Zachary Saenz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.




Local And Global Methods Of Nonlinear Dynamics


Local And Global Methods Of Nonlinear Dynamics
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Author : Albert William Sáenz
language : en
Publisher: Springer Verlag
Release Date : 1986

Local And Global Methods Of Nonlinear Dynamics written by Albert William Sáenz and has been published by Springer Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Science categories.




Applied Nonlinear Dynamics


Applied Nonlinear Dynamics
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Author : Ali H. Nayfeh
language : en
Publisher: John Wiley & Sons
Release Date : 2008-11-20

Applied Nonlinear Dynamics written by Ali H. Nayfeh and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-20 with Science categories.


A unified and coherent treatment of analytical, computational and experimental techniques of nonlinear dynamics with numerous illustrative applications. Features a discourse on geometric concepts such as Poincaré maps. Discusses chaos, stability and bifurcation analysis for systems of differential and algebraic equations. Includes scores of examples to facilitate understanding.



Computational Methods For Nonlinear Dynamical Systems


Computational Methods For Nonlinear Dynamical Systems
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Author : Xuechuan Wang
language : en
Publisher: Elsevier
Release Date : 2022-09-28

Computational Methods For Nonlinear Dynamical Systems written by Xuechuan Wang and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-28 with Mathematics categories.


Computational Methods for Nonlinear Dynamical Systems: Theory and Applications in Aerospace Engineering proposes novel ideas and develops highly-efficient and accurate methods for solving nonlinear dynamic systems, drawing inspiration from the weighted residual method and the asymptotic method. Proposed methods can be used both for real-time simulation and the analysis of nonlinear dynamics in aerospace engineering. The book introduces global estimation methods and local computational methods for nonlinear dynamic systems. Starting from the classic asymptotic, finite difference and weighted residual methods, typical methods for solving nonlinear dynamic systems are considered. In addition, new high-performance methods are proposed, such as time-domain collocation and local variational iteration. The book summarizes and develops computational methods for strongly nonlinear dynamic systems and considers the practical application of the methods within aerospace engineering. Presents global methods for solving periodic nonlinear dynamical behaviors Gives local methods for solving transient nonlinear responses Outlines computational methods for linear, nonlinear, ordinary and partial differential equations Emphasizes the development of accurate and efficient numerical methods that can be used in real-world missions Reveals practical applications of methods through orbital mechanics and structural dynamics



Global Analysis Of Nonlinear Dynamics


Global Analysis Of Nonlinear Dynamics
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Author : Jian-Qiao Sun
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-05-01

Global Analysis Of Nonlinear Dynamics written by Jian-Qiao Sun and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-01 with Technology & Engineering categories.


Global Analysis of Nonlinear Dynamics collects chapters on recent developments in global analysis of non-linear dynamical systems with a particular emphasis on cell mapping methods developed by Professor C.S. Hsu of the University of California, Berkeley. This collection of contributions prepared by a diverse group of internationally recognized researchers is intended to stimulate interests in global analysis of complex and high-dimensional nonlinear dynamical systems, whose global properties are largely unexplored at this time.



Methods Of Qualitative Theory In Nonlinear Dynamics


Methods Of Qualitative Theory In Nonlinear Dynamics
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Author : L. P. Shil'nikov
language : en
Publisher: World Scientific
Release Date : 2001

Methods Of Qualitative Theory In Nonlinear Dynamics written by L. P. Shil'nikov 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 with Mathematics 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 Poincar(r), 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. Sample Chapter(s). Introduction to Part II (124 KB). Chapter 7.1: Rough systems on a plane. Andronov-Pontryagin theorem (218 KB). Chapter 7.2: The set of center motions (158 KB). Chapter 7.3: General classification of center motions (155 KB). Chapter 7.4: Remarks on roughness of high-order dynamical systems (136 KB). Chapter 7.5: Morse-Smale systems (435 KB). Chapter 7.6: Some properties of Morse-Smale systems (211 KB). Contents: Structurally Stable Systems; Bifurcations of Dynamical Systems; The Behavior of Dynamical Systems on Stability Boundaries of Equilibrium States; The Behavior of Dynamical Systems on Stability Boundaries of Periodic Trajectories; Local Bifurcations on the Route Over Stability Boundaries; Global Bifurcations at the Disappearance of a Saddle-Node Equilibrium States and Periodic Orbits; Bifurcations of Homoclinic Loops of Saddle Equilibrium States; Safe and Dangerous Boundaries. Readership: Engineers, students, mathematicians and researchers in nonlinear dynamics and dynamical systems.



The Dynamics Of Control


The Dynamics Of Control
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Author : Fritz Colonius
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

The Dynamics Of Control written by Fritz Colonius and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


This new text/reference is an excellent resource for the foundations and applications of control theory and nonlinear dynamics. All graduates, practitioners, and professionals in control theory, dynamical systems, perturbation theory, engineering, physics and nonlinear dynamics will find the book a rich source of ideas, methods and applications. With its careful use of examples and detailed development, it is suitable for use as a self-study/reference guide for all scientists and engineers.



Uniform Output Regulation Of Nonlinear Systems


Uniform Output Regulation Of Nonlinear Systems
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Author : Alexey Victorovich Pavlov
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-07-27

Uniform Output Regulation Of Nonlinear Systems written by Alexey Victorovich Pavlov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-27 with Science categories.


This study of the nonlinear output regulation problem embraces local as well as global cases, covering such aspects as controller design and practical implementation issues. From the reviews: "The authors treat the problem of output regulation for a nonlinear control system...[they] develop a global approach to output regulation along familiar lines....I found the book to be ambitious and rigorous, tackling some hard conceptual issues." --IEEE TRANSACTIONS ON AUTOMATIC CONTROL



Stability And Control Of Nonlinear Time Varying Systems


Stability And Control Of Nonlinear Time Varying Systems
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Author : Shuli Guo
language : en
Publisher: Springer
Release Date : 2018-04-12

Stability And Control Of Nonlinear Time Varying Systems written by Shuli Guo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-12 with Technology & Engineering categories.


This book presents special systems derived from industrial models, including the complex saturation nonlinear functions and the delay nonlinear functions. It also presents typical methods, such as the classical Liapunov and Integral Inequalities methods. Providing constructive qualitative and stability conditions for linear systems with saturated inputs in both global and local contexts, it offers practitioners more concise model systems for modern saturation nonlinear techniques, which have the potential for future applications. This book is a valuable guide for researchers and graduate students in the fields of mathematics, control, and engineering.