Chaotic Dynamics in Nonlinear Theory

• Main Author: Burra, Lakshmi (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New Delhi : Springer India : Imprint: Springer, 2014.
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; Partial differential equations.; Statistical physics.; Dynamical Systems and Ergodic Theory.; Partial Differential Equations.; Nonlinear Dynamics.

Using phase–plane analysis, findings from the theory of topological horseshoes and linked-twist maps, this book presents a novel method to prove the existence of chaotic dynamics. In dynamical systems, complex behavior in a map can be indicated by showing the existence of a Smale-horseshoe-like stru...

Table of Contents:

• Chapter 1. Topological Considerations
• Chapter 2. Topological horseshoes and coin-tossing dynamics
• Chapter 3. Chaotic Dynamics in the vertically driven planar pendulum
• Chapter 4. Chaos in a pendulum with variable length.