Effect of a fluctuating parameter mismatch in coupled R\"ossler systems
Abstract
This paper is concerned with the effect of parameter fluctuations with a characteristic waiting time in coupled R\"ossler 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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