Complete synchronization of symmetrically coupled autonomous systems
- Schneider, Klaus R.
- Yanchuk, Serhiy
2010 Mathematics Subject Classification
- 34C15 34K20 34C11 34K35
2008 Physics and Astronomy Classification Scheme
- complete synchronization, ordinary differential, differential-delay equations, Goodwin oscillator, one-sided Lipschitz condition
In this paper we derive conditions for complete synchronization of two symmetrically coupled identical systems of ordinary differential equations and differential-delay equations. Using Lyapunov function approach we give an estimate of the region of attraction of the synchronized solution. We also established that complete synchronization is robust with respect to small perturbations of the identical systems.
- Applicable Analysis 82 (2003) 1127-1143.