Cooperative Phenomenon of Coupled Rössler Oscillators under the Simultaneous Presence of Diffusive and Environmental Coupling

Abstract

In the nonlinear science chaos synchronization and suppression is an important problem. Here, we discuss how synchronisation and cessation of oscillation is appeared in two coupled chaotic system depending on coupling parameter under simulataneous presence of direct and indirect coupling. We have performed linear stability analysis and derive the explicit conditions of getting amplitude death which agree well with numerical results.