Amplitude death in nonlinear oscillators with indirect coupling

• DOI: 10.1016/j.physleta.2012.03.033
• Publication Date: 2012-03-20T19:45:30Z
• Authors: Amit Sharma; Pooja Rani Sharma; Manish Dev Shrimali
• Keywords: 0103 physical sciences; 01 natural sciences

Abstract We investigate the effect of frequency mismatch in two indirectly coupled Rossler oscillators and Hindmarsh–Rose neuron model systems. While identical systems show in-phase or out-of-phase synchronization states when coupled through a dynamic environment, mismatch in the internal frequencies of the systems drives them to a fixed point state, i.e., amplitude death. There is a region in the parameter space of the frequency mismatch and coupling strength where system shows amplitude death. The numerical results of Rossler system are also experimentally verified using piece-wise Rossler circuits.