Global Analysis of Nonlinear Dynamics

Global Analysis of Nonlinear Dynamics

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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.Crespo and Sun (2003c) extended the generalized cell mapping method to stochastic optimal control problems in connection with Bellmana#39;s principle of optimality. Zhu et al (2001) have proposed a strategy for optimal feedback control of randomly excited structural systems based on ... Consider a dynamical system governed by the ItoE† differential equation dXAdtAž 1a„4 mAdX;U;tAždt A¾ sAdX;tAždBAdtAž; XAdt0Až 1a„4anbsp;...

Title:Global Analysis of Nonlinear Dynamics
Author: Jian-Qiao Sun, Albert C. J. Luo
Publisher:Springer Science & Business Media - 2012-05-01

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