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Heteroclinic motion and energy transfer in coupled oscillator with nonlinear magnetic coupling

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Abstract

In this paper, we consider two coupled oscillators exhibiting both transient chaos and energy transfer from mechanical to electrical oscillators. Melnikov method is applied to these oscillators with linear damping and strongly nonlinear coupling terms in order to study the possibility of existence of chaos and transversal heteroclinic orbits and their control in a dynamical system. The energy transfer is studied using a qualitative measure of the system which can be obtained by computing the energy dissipated in it. At last, the numerical simulation is carried out for this system.

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Acknowledgments

M. Siewe Siewe is indebted to the Abdus Salam International Centre for Theoretical Physics for its financial support to carry out a research work as a research fellow and also indebted to the Mathematics section of ICTP for hosting him when undertaking this work.

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Authors and Affiliations

  1. Laboratoire de Mécanique, Département de Physique, Faculté des sciences, Université de Yaoundé I, BP 812, Yaoundé, Cameroon

    M. Siewe Siewe & C. Nono Dueyou Buckjohn

  2. Department of mathematics, Abdus Salam International Centre for Theoretical Physics, Strada Costiera, 11, 34151 , Trieste, Italy

    M. Siewe Siewe

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  1. M. Siewe Siewe
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  2. C. Nono Dueyou Buckjohn
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Correspondence to M. Siewe Siewe.

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Siewe, M.S., Buckjohn, C.N.D. Heteroclinic motion and energy transfer in coupled oscillator with nonlinear magnetic coupling. Nonlinear Dyn 77, 297–309 (2014). https://doi.org/10.1007/s11071-014-1294-4

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  • DOI: https://doi.org/10.1007/s11071-014-1294-4

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