Principles of Discontinuous Dynamical Systems

• Main Author: Akhmet, Marat. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2010.
• Subjects: Mathematics.; Differentiable dynamical systems.; Differential Equations.; Differential equations, partial.; Dynamical Systems and Ergodic Theory.; Ordinary Differential Equations.; Partial Differential Equations.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4419-6581-3

Discontinuous dynamical systems have played an important role in both theory and applications during the last several decades. This is still an area of active research and techniques to make the applications more effective are an ongoing topic of interest. Principles of Discontinuous Dynamical Syste...

Table of Contents:

• Introduction
• Description of the System with Fixed Moments of Impulses and its Solutions
• Stability and Periodic Solutions of Systems with Fixed Moments of Impulses
• Basics of Linear Systems
• Non-Autonomous Systems with Variable Moments of Impulses
• Differentiability Properties of Non-Autonomous Systems
• Periodic Solutions of Nonlinear Systems
• Discontinuous Dynamical Systems
• Perturbations and Hopf Bifurcation of a Discontinuous Limit Cycle
• Chaos and Shadowing
• Bibliography.