Abstract
We wish to report the occurrence of vibrational resonance in certain discrete systems like sine square map and sine circle map, in a unique fashion, comprising of multiple resonant peaks which pave the way for enrichment. As the systems of our choice are capable of exhibiting vibrational resonance behaviour unlike the earlier reports, they are taken for investigation and the necessary numerical and analytical results are presented. Further, we study the effect of external forcing on various attractors of these systems with appropriate bifurcation and Lyapunov exponent diagrams.
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Acknowledgements
The author A Jeevarekha would like to thank the Department of Science and Technology for the financial support provided in the form of DST INSPIRE Fellowship and P Philominathan acknowledges the University Grants Commission, New Delhi, India, for the financial support to this research work through a major research project F. No. 41-961/2012 (SR) dt. 01-7-2012.
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JEEVAREKHA, A., SANTHIAH, M. & PHILOMINATHAN, P. Enriched vibrational resonance in certain discrete systems. Pramana - J Phys 83, 493–504 (2014). https://doi.org/10.1007/s12043-014-0815-5
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DOI: https://doi.org/10.1007/s12043-014-0815-5