Global Analysis of Nonlinear Dynamics [electronic resource] / edited by Jian-Qiao Sun, Albert C. J. Luo.

By: Sun, Jian-Qiao [editor.]Contributor(s): Luo, Albert C. J [editor.] | SpringerLink (Online service)Material type: TextTextLanguage: English Publisher: New York, NY : Springer New York, 2012Description: XIV, 287 p. 128 illus., 50 illus. in color. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9781461431282Subject(s): Engineering | Cytology | Vibration | Electric engineering | Engineering | Vibration, Dynamical Systems, Control | Energy Technology | Cell PhysiologyAdditional physical formats: Printed edition:: No titleDDC classification: 620 LOC classification: TA355TA352-356Online resources: Click here to access online
Contents:
Global Analysis of Periodic Solutions for Flexible Feedback Systems -- Cell Mapping Techniques for Tuning Dynamical Systems -- Iterative Digraph Cell Mapping Method -- Crises in Chaotic Systems -- A Two Scaled Method of Point Mapping -- Unstable Invariant Sets in Nonlinear Dynamical Systems -- Fuzzy Cell Mapping -- Stability and Response Bounds for Structures under Dynamic Loads -- Hamiltonian Chaos in Nonlinear Parametric Systems -- Multilevel Subdivision Techniques for Scalar Optimization Problems -- Stochastic Control.    .
In: Springer eBooksSummary: 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. This book also: Presents recent developments in global analysis of non-linear dynamical systems Provides in-depth considerations and extensions of cell mapping methods Adopts an inclusive style accessible to non-specialists and graduate students Global Analysis of Nonlinear Dynamics is an ideal reference for the community of nonlinear dynamics in different disciplines including engineering, applied mathematics, meteorology, life science, computational science, and medicine.  
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Global Analysis of Periodic Solutions for Flexible Feedback Systems -- Cell Mapping Techniques for Tuning Dynamical Systems -- Iterative Digraph Cell Mapping Method -- Crises in Chaotic Systems -- A Two Scaled Method of Point Mapping -- Unstable Invariant Sets in Nonlinear Dynamical Systems -- Fuzzy Cell Mapping -- Stability and Response Bounds for Structures under Dynamic Loads -- Hamiltonian Chaos in Nonlinear Parametric Systems -- Multilevel Subdivision Techniques for Scalar Optimization Problems -- Stochastic Control.    .

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. This book also: Presents recent developments in global analysis of non-linear dynamical systems Provides in-depth considerations and extensions of cell mapping methods Adopts an inclusive style accessible to non-specialists and graduate students Global Analysis of Nonlinear Dynamics is an ideal reference for the community of nonlinear dynamics in different disciplines including engineering, applied mathematics, meteorology, life science, computational science, and medicine.  

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