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Global Analysis of Nonlinear Dynamics

Kataloginformation Katalogdatensatz500170972 .

Kataloginformation
Feldname	Details
Vorliegende Sprache	eng
ISBN	978-1-4614-3127-5
Name	Sun, Jian-Qiao
Name	Luo, Albert C. J.
ANZEIGE DER KETTE	Luo, Albert C. J.
T I T E L	Global Analysis of Nonlinear Dynamics
Verlagsort	New York, NY
Verlag	Springer New York
Erscheinungsjahr	2012
Erscheinungsjahr	2012
Umfang	Online-Ressource (XIV, 287 p. 128 illus., 50 illus. in color, digital)
Reihe	SpringerLink. Bücher
Notiz / Fußnoten	Description based upon print version of record
Weiterer Inhalt	Global Analysis of NonlinearDynamics; Foreword; Preface; Contents; Chapter 1: Global Analysis of Periodic Solutions for Flexible Feedback Systems; 1.1 Introduction; 1.2 System Definition; 1.2.1 Relay Type; 1.2.2 Plant; 1.3 Computation of Periodic Solutions; 1.4 Region of Attraction Mapping; 1.4.1 Simple Cell Mapping; 1.4.2 Switching Surface Poincare Cell Map (SSPCM); 1.4.3 Integration Stopping Criterion; 1.5 Example: Control of Flexible Spacecraft Model; 1.5.1 Parametric Study; 1.6 Conclusions; References; Chapter 2: Cell Mapping Techniques for Tuning Dynamical Systems; 2.1 Introduction. 2.2 Problem Statement and Proposed Approach2.2.1 Size of Domain of Attraction; 2.2.2 Characterization of JCM; 2.3 Modifications to CM Implementation; 2.4 Optimization Techniques; 2.4.1 Genetic Algorithm; 2.4.2 Kiefer-Wolfowitz Scheme; 2.4.3 Neural Network-Based Schemes; 2.5 Simulation Examples; 2.5.1 Example 1; 2.5.2 Example 2; 2.5.3 Example 3: Control Tuning; 2.6 Concluding Remarks; References; Chapter 3: Iterative Digraph Cell Mapping Method; 3.1 Introduction; 3.2 Digraph; 3.3 Classifications; 3.4 Iterative Digraph Cell Mapping Method; 3.4.1 Basic Cell Space Method. 3.4.2 Composite Cell Space Method3.4.3 Iterative Digraph Cell Mapping Method; 3.5 Global Analysis of Henon Map; 3.6 Global Analysis of Stochastic Bifurcation in Duffing System; References; Chapter 4: Crises in Chaotic Systems; 4.1 Introduction; 4.2 Generalized Cell Mapping Dynamical Systems; 4.3 Basic Properties and Classifications of State Cells; 4.4 Generalized Cell Mapping Digraph Method; 4.4.1 Method; 4.4.2 Algorithm; 4.5 Crises; 4.5.1 Boundary Crisis and Fold Bifurcation; 4.5.2 A Double Crisis; 4.5.3 A Hyperchaotic Crisis; 4.6 Conclusions; References. Chapter 5: Point Mapping under Cell Reference - A Two Scaled Numerical Method for Global Analysis5.1 Introduction; 5.2 Single-Scaled Methods; 5.2.1 Features of Methods in Point Scale; 5.2.2 Features of Methods in Cell Scale; 5.2.3 Differences Between Two Single-Scaled Methods; 5.3 A Two-Scaled Method; 5.3.1 Basic Ideas; 5.3.2 Implementation; 5.3.2.1 Establishing a Cell Reference; 5.3.2.2 Generating Trajectories From the Initial Set Sp; 5.3.2.3 Approximating the Covering of Attracting Set; 5.3.2.4 Determining the Unstable Invariant Limit Sets; 5.3.3 Examples. 5.4 Techniques for Enhancement of Capabilities5.4.1 A Technique With Multilevel Cell References; 5.4.2 A Dynamic Arrays-Based Technique; References; Chapter 6: Unstable Invariant Sets in Nonlinear Dynamical Systems; 6.1 Introduction; 6.2 The Generalized Cell Mapping Method; 6.3 Sampling Techniques; 6.3.1 Nonuniformly Interior-and-Boundary Sampling Technique; 6.3.2 Controlled Boundary Sampling Technique; 6.4 Complete Self-cycling Sets; 6.5 Refinement for Complete Self-cycling Sets; 6.5.1 Refinement for Complete Self-cycling Sets and the Implementation. 6.5.2 Two Applications of Refinement for Complete Self-cycling Sets
Titelhinweis	Buchausg. u.d.T.ISBN: 978-1-461-43127-5
ISBN	ISBN 978-1-4614-3128-2
	ISBN 1-280-79501-8 ebk
	ISBN 978-1-280-79501-5 MyiLibrary
Klassifikation	TGMD4
	TEC009070
	SCI018000
	*37-06
	37G99
	37N99
	93C10
	93C42
	00B15
	00B30
	531.01515
	515/.39
	TA355
	TA352-356
Kurzbeschreibung	Albert C. J. Luo
2. Kurzbeschreibung	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. Jian-Qiao Sun, University of California, Merced, jqsun@ucmerced.edu Albert C.J. Luo, Southern Illinois University Edwardsville, aluo@siue.edu
SWB-Titel-Idn	366280953
Signatur	Springer E-Book
Bemerkungen	Elektronischer Volltext - Campuslizenz
Elektronische Adresse	$uhttp://dx.doi.org/10.1007/978-1-4614-3128-2
Internetseite / Link	Volltext
Siehe auch	Volltext
Siehe auch	Cover
Siehe auch	Inhaltstext

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