Nonlinear dynamical systems

feedforward neural network perspectives
  • 298 Pages
  • 2.19 MB
  • 8771 Downloads
  • English

John Wiley , New York
Neural networks (Computer science), Dyn
StatementIrwin W. Sandberg ... [et al.]
SeriesAdaptive and learning systems for signal processing, communications, and control
ContributionsSandberg, I. W.
Classifications
LC ClassificationsQA76.87 .N56 2001
The Physical Object
Paginationx, 298 p. :
ID Numbers
Open LibraryOL17003293M
ISBN 100471349119
LC Control Number00043384

The book contains an extensive bibliography as well as a detailed glossary of terms, making it a comprehensive book on applied nonlinear dynamical systems from a geometrical and analytical point of view. Product details. Series: Texts in Applied Mathematics (2) (Book 2)Cited by: Nonlinear Dynamical Systems and Control presents and develops an extensive treatment of stability analysis and control design of nonlinear dynamical systems, with an emphasis on Lyapunov-based methods.

Dynamical system theory lies at the heart of mathematical sciences and engineering. The application of dynamical systems has crossed interdisciplinary boundaries from chemistry to Cited by: out of 5 stars This book takes you by hand through dynamical systems theory Reviewed in the United States on Ap What I like more of this work is tha the autor explains all theconcepts he is using, so it is ideal for people who is a naturalscientist but not necesarilly knows all the formalism of modern s: 7.

The book shows strong connections of the subject matter with optimization, dynamical systems as well as the classical themes (Lyapunov theory). Cite 2 Recommendations.

The contributions in this book series cover a broad range of interdisciplinary topics between mathematics, circuits, realizations, and practical applications related to nonlinear dynamical systems, nanotechnology, fractals, bifurcation, discrete and continuous chaotic systems, recent techniques for control and synchronization of chaotic systems.

A complete and thorough treatment of dissipativity theory, absolute stability theory, stability of feedback systems, optimal control, disturbance rejection control, and robust control for nonlinear dynamical systems is also given.

This book is an indispensable resource for applied mathematicians, dynamical systems Nonlinear dynamical systems book, control theorists. Dynamical Systems in Neuroscience presents a systematic study of the relationship of electrophysiology, nonlinear dynamics, and computational properties of neurons.

It emphasizes that information processing in the brain depends not only on the electrophysiological properties of neurons but also on their dynamical properties. The local theory of nonlinear dynamical systems will be briefly discussed. The stability switching and bifurcation on specific eigenvectors of the linearized system at equilibrium will be discussed.

T.J. Sejnowski, in International Encyclopedia of the Social & Behavioral Sciences, Brains are complex, nonlinear dynamical systems with feedback loops, and brain models provide intuition about the possible behaviors of such systems.

The predictions of a model make explicit the consequences of the underlying assumptions, and comparison with Nonlinear dynamical systems book results can lead to new insights.

Synchronization in Complex Networks of Nonlinear Dynamical Systems Chai Wah Wu. This book brings together two emerging research areas: synchronization in coupled nonlinear systems and complex networks, and study conditions under which a complex network of dynamical systems synchronizes. While there are many texts that study synchronization in.

Linear dynamical systems can be solved in terms of simple functions and the behavior of all orbits classified. In a linear system the phase space is the N-dimensional Euclidean space, so any point in phase space can be represented by a vector with N numbers. The analysis of linear systems is possible because they satisfy a superposition principle: if u(t) and w(t) satisfy the differential.

Nonlinear Dynamics and Chaos by Steven Strogatz is a great introductory text for dynamical systems. The writing style is somewhat informal, and the perspective is very "applied." It includes topics from bifurcation theory, continuous and discrete dynamical systems.

Product Information. Nonlinear Evolution Equations and Dynamical Systems (NEEDS) provides a presentation of the state of the art. Except for a few review papers, the 40 contributions are intentially brief to give only the gist of the methods, proofs, etc.

including references to the relevant litera- ture.

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Nonlinear Dynamical Systems and Control presents and develops an extensive treatment of stability analysis and control design of nonlinear dynamical systems, with an emphasis on Lyapunov-based methods. Dynamical system theory lies at the heart of mathematical sciences and engineering.

The application of dynamical systems has crossed interdisciplinary boundaries from chemistry to Price: $ This book systematically presents a fundamental theory for the local analysis of bifurcation and stability of equilibriums in nonlinear dynamical systems.

Until now, one does not have any efficient way to investigate stability and bifurcation of dynamical systems with higher-order singularity equilibriums. Tags: Jan H. Richter, Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Reconfigurable Control of Nonlinear Dynamical Systems: A fault-hiding Approach (ebook) ISBN Additional ISBNs:Author: Jan H.

Richter Edition: Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Published. The Carleman linearization has become a new powerful tool in the study of nonlinear dynamical systems.

Nevertheless, there is the general lack of familiarity with the Carleman embedding technique among those working in the field of nonlinear models. This book provides a systematic presentation of the Carleman linearization, its generalizations and applications.

This introduction to applied nonlinear dynamics and chaos places emphasis on teaching the techniques and ideas that will enable students to take specific dynamical systems and obtain some quantitative information about their behavior/5(9). Nonlinear Dynamical Systems and Control presents and develops an extensive treatment of stability analysis and control design of nonlinear dynamical systems, with an emphasis on Lyapunov-based methods.

Dynamical system theory lies at the heart of mathematical sciences and engineering. The application of dynamical systems has crossed interdisciplinary boundaries from chemistry to. Read the latest chapters of Handbook of Dynamical Systems atElsevier’s leading platform of peer-reviewed scholarly literature Book chapter Full text access.

Chapter 1 - Preliminaries of Dynamical Systems Theory. H.W. Broer, F. Takens Reconstruction Theory and Nonlinear Time Series Analysis. Floris Takens. This is the internet version of Invitation to Dynamical Systems. Unfortunately, the original publisher has let this book go out of print.

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The version you are now reading is pretty close to the original version (some formatting has changed, so page numbers are unlikely to be the same, and the fonts are different). From the reviews: "This book is concerned with the application of methods from dynamical systems and bifurcation theories to the study of nonlinear oscillations.

Chapter 1 provides a review of basic results in the theory of dynamical systems, covering both ordinary differential equations and discrete mappings. Robert L. Devaney, in Differential Equations, Dynamical Systems, and an Introduction to Chaos (Third Edition), In practice, most nonlinear systems that arise are “nice” in the sense that we do have existence and uniqueness of solutions, as well as continuity of solutions when initial conditions are varied and other “natural.

Nonlinear Dynamics provides a forum for the rapid publication of original research in the field. The journal’s scope encompasses all nonlinear dynamic phenomena associated with mechanical, structural, civil, aeronautical, ocean, electrical, and control systems.

The book is a collection of contributions devoted to analytical, numerical and experimental techniques of dynamical systems, presented at the International Conference on Dynamical Systems: Theory and Applications, held in Łódź, Poland on DecemberThe studies give deep Author: Jing Tang Xing. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields "The book is rewarding reading The elementary chapters are suitable for an introductory graduate course for mathematicians and physicists Its excellent survey of the mathematical literature makes it a valuable reference."―JOURNAL OF STATISTICAL PHYSICS/5(8).

In Part II of the book we focus on the dynamical phenomena in nonlinear optical systems, of course taking the general viewpoint of nonlinear dynamical systems.

In Chapter 18 we describe first the technique of linear-stability analysis and then we discuss the most relevant and general instability-related dynamical aspects in nonlinear Author: Luigi Lugiato, Franco Prati, Massimo Brambilla. In recent times it has been stated that many dynamical systems of classical mathematical physics and mechanics are endowed with symplectic structures, Algebraic Integrability of Nonlinear Dynamical Systems on Manifolds Classical and Quantum Aspects.

Authors (view affiliations) Search within book. Front Matter. Pages PDF. Purchase Backstepping Control of Nonlinear Dynamical Systems - 1st Edition.

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Print Book. ISBN Book Edition: 1. System Upgrade on Tue, May 19th, at 2am (ET) During this period, E-commerce and registration of new users may not be available for up to 12 hours.

Buy Nonlinear dynamical systems by Cook online at Alibris. We have new and used copies available, in 2 editions - starting at $ Shop now.This book covers important topics like stability, hyperbolicity, bifurcation theory and chaos, topics which are essential in order to understand the fascinating behavior of nonlinear discrete dynamical systems.

The theory is illuminated by several examples and exercises, many of them taken from population dynamical studies.These notes are based on a series of lectures given in the Lefschetz Center for Dynamical Systems in the Division of Applied Mathematics at Brown University during the academic year The purpose of the lectures was to give an introduction to the applications of centre manifold theory to .