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Noise-induced jumps in two coupled Duffing oscillators

Author

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  • Rajasekar, S.
  • Valsakumar, M.C.
  • Raj, S.Paul

Abstract

We consider two coupled Duffing oscillators with the coexistence of four attractors. Switching between the coexisting attractors by noises is investigated. Three types of noises such as Gaussian, amplitude dependent and dichotomous are used. We observed noise-induced extrinsic intermittency. Intermittent dynamics is characterized using power spectrum, average and relative residence times on each precoupled attractors and probability distribution of time interval between successive switchings. Variation of probability distribution of state variables in Poincaré map is studied as a function of noise strength. The effect of various noises is compared. The occurrence of crisis-induced and type-I intermittencies are also presented.

Suggested Citation

  • Rajasekar, S. & Valsakumar, M.C. & Raj, S.Paul, 1998. "Noise-induced jumps in two coupled Duffing oscillators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 261(3), pages 417-434.
    • Handle: RePEc:eee:phsmap:v:261:y:1998:i:3:p:417-434
    DOI: 10.1016/S0378-4371(98)00292-1
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    Cited by:

    1. Bel, G. & Alexandrov, B.S. & Bishop, A.R. & Rasmussen, K.Ø., 2023. "Patterns and stability of coupled multi-stable nonlinear oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    2. de Souza, Silvio L.T. & Batista, Antonio M. & Caldas, Iberê L. & Viana, Ricardo L. & Kapitaniak, Tomasz, 2007. "Noise-induced basin hopping in a vibro-impact system," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 758-767.

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