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Effect of parameter mismatch and time delay interaction on density-induced amplitude death in coupled nonlinear oscillators

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Abstract

Oscillations in the coupled systems can be suppressed by varying density of mean field. The presence of parameter mismatch or time delay interaction in such systems enhances the amplitude death (AD) region in parameter space. This behavior of stability of steady state is analyzed by analytical as well as numerical studies of specific cases of limit-cycle and Rössler oscillators. Experimental evidence of AD is also shown, using an electronic version of the Chua’s oscillator.

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Acknowledgments

AS acknowledges support by the Aihara Project, the FIRST program from JSPS, initiated by CSTP. Other authors: KS, KT, AP, and MS thank the Department of Science and Technology (DST), Government of India for the financial support.

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Authors and Affiliations

  1. FIRST, Aihara Innovative Mathematical Modelling Project, Japan Science and Technology Agency, Meguro-ku, Tokyo, 153-8505, Japan

    Amit Sharma

  2. Centre for Nonlinear Dynamics, School of Physics, Bharathidasan University, Tiruchirappalli , 620024, Tamil Nadu, India

    K. Suresh & K. Thamilmaran

  3. Department of Physics & Astrophysics, University of Delhi, Delhi , 110 007, India

    Awadhesh Prasad

  4. Department of Physics, Central University of Rajasthan, NH-8, Bandar Sindri, Ajmer , 305 801, India

    Manish Dev Shrimali

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  1. Amit Sharma
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  2. K. Suresh
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  3. K. Thamilmaran
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  5. Manish Dev Shrimali
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Correspondence to Manish Dev Shrimali.

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Sharma, A., Suresh, K., Thamilmaran, K. et al. Effect of parameter mismatch and time delay interaction on density-induced amplitude death in coupled nonlinear oscillators. Nonlinear Dyn 76, 1797–1806 (2014). https://doi.org/10.1007/s11071-014-1247-y

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  • DOI: https://doi.org/10.1007/s11071-014-1247-y

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