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Effect of a fluctuating parameter mismatch and the associated time-scales on coupled Rossler oscillators
Manu P John P U Jijo V M Nandakumaran
Research Articles Volume 72 Issue 3 March 2009 pp 495-503
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https://www.ias.ac.in/article/fulltext/pram/072/03/0495-0503 -
Keywords
Chaos ;synchronization ;parameter mismatch. -
Abstract
We study the effect of parameter fluctuations and the resultant multiplicative noise on the synchronization of coupled chaotic systems. We introduce a new quantity, the fluctuation rate 𝜙 as the number of perturbations occurring to the parameter in unit time. It is shown that 𝜙 is the most significant quantity that determines the quality of synchronization. It is found that parameter fluctuations with high fluctuation rates do not destroy synchronization, irrespective of the statistical features of the fluctuations. We also present a quasi-analytic explanation to the relation between 𝜙 and the error in synchrony.
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Author Affiliations
Manu P John1 P U Jijo1 2 V M Nandakumaran1 3
- International School of Photonics, Cochin University of Science and Technology, Kochi 682 022, India
- Department of Physics, Government College, Madapally, Vadakara, Calicut 673 102, India
- Indian Institute of Science Education and Research (IISER) Thiruvananthapuram, CET Campus, Thiruvananthapuram 695 016, India
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Dates
- Published
- March 2009
- Manuscript received
- 30 August 2009
- Manuscript revised
- 1 November 2008
- Accepted
- 11 November 2008
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Pramana – Journal of Physics
Volume 96, 2022
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