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Effect of nonsinusoidal periodic forces in Duffing oscillator: Numerical and analog simulation studies

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  • Srinivasan, K.
  • Thamilmaran, K.
  • Venkatesan, A.

Abstract

We consider the effect of different nonsinusoidal periodic forces like square wave, triangle wave, sawtooth wave on Duffing oscillator and show that the system can undergo distinctly modified bifurcation structure, generation of new periodic regimes, reverse period-doubling bifurcations, intermittency, antimonotonicity, induction of crises. The dynamics was studied numerically using one parameter bifurcation diagrams, phase portraits and Lyapunov exponents. Most of these numerical studies are in good agreement with observations from analog circuit simulation experiments.

Suggested Citation

  • Srinivasan, K. & Thamilmaran, K. & Venkatesan, A., 2009. "Effect of nonsinusoidal periodic forces in Duffing oscillator: Numerical and analog simulation studies," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 319-330.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:1:p:319-330
    DOI: 10.1016/j.chaos.2007.07.090
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    References listed on IDEAS

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    1. Gandhimathi, V.M. & Murali, K. & Rajasekar, S., 2006. "Stochastic resonance with different periodic forces in overdamped two coupled anharmonic oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 30(5), pages 1034-1047.
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    Cited by:

    1. Wang, Zheng & Luo, Tianqi, 2017. "Multiformity of periodic-impact motions of a harmonically forced soft-impacting system and experimental verification based on an electronic circuit," Chaos, Solitons & Fractals, Elsevier, vol. 94(C), pages 23-36.
    2. Wei, Mengke & Han, Xiujing, 2024. "Fast–slow dynamics related to sharp transition behaviors in the Rayleigh oscillator with two slow square wave excitations," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    3. Zhang, Xu & Min, Fuhong & Dou, Yiping & Xu, Yeyin, 2023. "Bifurcation analysis of a modified FitzHugh-Nagumo neuron with electric field," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).

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