Complete synchronization of symmetrically soupled sutonomous systems

Abstract

In this article 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.

Keywords:

• Complete synchronization
• Delay differential equations
• Coupled systems
• Goodwin oscillator
• 2000 Mathematics Subject Classifications: 34C15
• 34C11
• 34K20
• 34K35

Notes

^†E-mail: [email protected]

Additional information

Notes on contributors

Serhiy Yanchuk†

†E-mail: [email protected]