Discretization and Implicit Mapping Dynamics

• Main Author: Luo, Albert C. J. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2015.
• Edition: 1st ed. 2015.
• Series: Nonlinear Physical Science,
• Subjects: Physics.; Difference equations.; Functional equations.; Statistical physics.; Vibration.; Dynamical systems.; Dynamics.; Nonlinear Dynamics.; Difference and Functional Equations.; Vibration, Dynamical Systems, Control.

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...

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.