Studies on Chaotic Dynamics of Rayleigh-Duffing Oscillator by Melnikov Method

Authors

  • Manaj Dandapathak  Assistant Professor of Physics, Ramkrishna Mahato Govt. Engineering College, Agharpur, Purulia West Bengal, India

DOI:

https://doi.org//10.32628/IJSRSET1173829

Keywords:

Nonlinear Dynamics, Duffing Oscillator, Melnikov Function

Abstract

Chaotic dynamics of Rayleigh-Duffing oscillator has been described with the help of Melnikov’s method of perturbation. Critical observation shows that depending on system parameters, value an external force signal chaotic oscillation can be generated in the system. Analytically, range of value of different system parameters and external signal strength required for chaotic oscillation can be determined. All the analytical predictions have been verified by solving the system equation of the oscillator numerically.

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International Journal of Scientific Research in Science, Engineering and Technology

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Published

2017-12-27

Issue

Volume 3, Issue 8, November-December-2017

Section

Research Articles

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How to Cite

[1]
Manaj Dandapathak, " Studies on Chaotic Dynamics of Rayleigh-Duffing Oscillator by Melnikov Method, International Journal of Scientific Research in Science, Engineering and Technology(IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 3, Issue 8, pp.1396-1403, November-December-2017. Available at doi : https://doi.org/10.32628/IJSRSET1173829