Discretization and Implicit Mapping Dynamics

This unique book presents the discretization of continuous systems and implicit mapping dynamics of periodic motions to chaos in continuous nonlinear systems. The stability and bifurcation theory of fixed points in discrete nonlinear dynamical systems is reviewed, and the explicit and implicit maps...

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Bibliographic Details
Main Author: Luo, Albert C. J.
Format: eBook
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2015, 2015
Edition:1st ed. 2015
Series:Nonlinear Physical Science
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Introduction
  • Nonlinear Discrete Systems
  • Discretization of Continuous Systems
  • Implicit Mapping Dynamics
  • Periodic Flows in Continuous Systems
  • Periodic Motions to Chaos in Duffing Oscillator