Effect of a fluctuating parameter mismatch in coupled R\"{o}ssler systems

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...

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Bibliographic Details
Main Authors John, Manu P, Ulahannan, Jijo P, Nandakumaran, V. M
Format Journal Article
LanguageEnglish
Published 22.07.2007
Subjects
Physics - Chaotic Dynamics
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Summary: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.
DOI:10.48550/arxiv.0707.3249