Synchronization of Irregular Complex Networks with Chaotic Oscillators: Hamiltonian Systems Approach

Abstract

Synchronization of multiple chaotic oscillators in Hamiltonian form is numerically studied and is achieved by appealingto complex systems theory [1-5]. The topology that we consider is the irregular coupled network. Two cases areconsidered: i) chaotic synchronization without master oscillator (where the final collective behaviour is a new chaoticstate) and ii) chaotic synchronization with master oscillator (where the final collective behaviour is imposed by thedynamics of the master oscillator to multiple slave oscillators). The Hysteretic and Rössler chaotic oscillators inHamiltonian form will be used as examples.