Practical Bifurcation and Stability Analysis

• Main Author: Seydel, Rüdiger (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2010.
• Series: Interdisciplinary Applied Mathematics, 5
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; Numerical analysis.; Physics.; Applied mathematics.; Engineering mathematics.; Dynamical Systems and Ergodic Theory.; Appl.Mathematics/Computational Methods of Engineering.; Mathematical Methods in Physics.; Numerical Analysis.

This book covers the central role that bifurcations play in nonlinear phenomena, explaining mechanisms of how stability is gained or lost. It emphasizes practical and computational methods for analyzing dynamical systems. A wide range of phenomena between equilibrium and chaos is explained and illus...

Table of Contents:

• and Prerequisites
• Basic Nonlinear Phenomena
• Applications and Extensions
• Principles of Continuation
• Calculation of the Branching Behavior of Nonlinear Equations
• Calculating Branching Behavior of Boundary-Value Problems
• Stability of Periodic Solutions
• Qualitative Instruments
• Chaos.