A Smooth and Discontinuous Oscillator

1. Introduction
Qingjie Cao, Alain Léger, Marian Wiercigroch

2. The SD Oscillator

Qingjie Cao, Alain Léger, Marian Wiercigroch

3. Discontinuous Dynamics
Qingjie Cao, Alain Léger, Marian Wiercigroch

4.
Resonances


Qingjie Cao, Alain Léger, Marian Wiercigroch

5. Co-Dimension Two Bifurcation
Qingjie Cao, Alain Léger, Marian Wiercigroch

6. Wada Basin Dynamics
Qingjie Cao, Alain Léger, Marian Wiercigroch

7. Piecewise Linear Approach
Qingjie Cao, Alain Léger, Marian Wiercigroch

8. Extended Averaging Method
Qingjie Cao, Alain Léger, Marian Wiercigroch

9. Elliptic and Hyperbolic Functions
Qingjie Cao, Alain Léger, Marian Wiercigroch

10. Cell Mapping Method
Qingjie Cao, Alain Léger, Marian Wiercigroch

11. SD Oscillator with Friction and Impacts
Qingjie Cao, Alain Léger, Marian Wiercigroch

12. Experimental Investigations
Qingjie Cao, Alain Léger, Marian Wiercigroch

13. Rotating SD Oscillator: An Ancient Application
Qingjie Cao, Alain Léger, Marian Wiercigroch

14. An Isolator: Dynamics and Vibration Isolation
Qingjie Cao, Alain Léger, Marian Wiercigroch

15. Secure Communication Scheme
Qingjie Cao, Alain Léger, Marian Wiercigroch

16. Challenges and Open Problems
Qingjie Cao, Alain Léger, Marian Wiercigroch

Nyckelord: Engineering, Vibration, Dynamical Systems, Control, Applications of Nonlinear Dynamics and Chaos Theory, Classical Mechanics, Mathematical Modeling and Industrial Mathematics