Principles of Discontinuous Dynamical Systems

1. Introduction
Marat Akhmet

2. Description of the System with Fixed Moments of Impulses and Its Solutions
Marat Akhmet

3. Stability and Periodic Solutions of Systems with Fixed Moments of Impulses
Marat Akhmet

4. Basics of Linear Systems
Marat Akhmet

5. Nonautonomous Systems with Variable Moments of Impulses
Marat Akhmet

6. Differentiability Properties of Nonautonomous Systems
Marat Akhmet

7. Periodic Solutions of Nonlinear Systems
Marat Akhmet

8. Discontinuous Dynamical Systems
Marat Akhmet

9. Perturbations and Hopf Bifurcation of a Discontinuous Limit Cycle
Marat Akhmet

10. Chaos and Shadowing
Marat Akhmet

Keywords: Mathematics, Dynamical Systems and Ergodic Theory, Ordinary Differential Equations, Partial Differential Equations