Effect of a fluctuating parameter mismatch in coupled Rössler systems

Details Effect of a fluctuating parameter mismatch in coupled Rössler systems Effect of a fluctuating parameter mismatch in coupled Rössler systems

2007-07-22

arxiv.org/abs/0707.3249v1

Nonlinear Sciences

Chaotic Dynamics

8 pages, 3 figures, submitted to Journal of Physics A

Scientific paper

This paper is concerned with the effect of parameter fluctuations with a characteristic waiting time in coupled R\"{o}ssler oscillators. We show that the averaged error in synchronization that is introduced due to a fluctuating parameter is proportional to the waiting time and the amplitude of the fluctuations. It is also shown that coupling strength beyond a threshold value does not have any significant effect on improving the quality of synchronization when the fluctuations posses considerable waiting time.

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