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Synchronization and basin bifurcations in mutually coupled oscillators

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Abstract

Synchronization behaviour of two mutually coupled double-well Duffing oscillators exhibiting cross-well chaos is examined. Synchronization of the subsystems was observed for coupling strength k > 0.4. It is found that when the oscillators are operated in the regime for which two attractors coexist in phase space, basin bifurcation sequences occur leading to n + 1, n ≥ 2 basins as the coupling is varied — a signature of Wada structure and final-state sensitivity. However, in the region of complete synchronization, the basins structure is identical with that of the single oscillators and retains its essential features including fractal basin boundaries.

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Authors and Affiliations

  1. Nonlinear and Statistical Physics Research Group, Department of Physics, Olabisi Onabanjo University, P.M.B. 2002, Ago-Iwoye, Nigeria

    U E Vincent

  2. Department of Physics, College of Natural Sciences, University of Agriculture, Abeokuta, Nigeria

    A N Njah & O Akinlade

Authors
  1. U E Vincent
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  2. A N Njah
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  3. O Akinlade
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Correspondence to U E Vincent.

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Vincent, U.E., Njah, A.N. & Akinlade, O. Synchronization and basin bifurcations in mutually coupled oscillators. Pramana - J Phys 68, 749–756 (2007). https://doi.org/10.1007/s12043-007-0074-9

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  • DOI: https://doi.org/10.1007/s12043-007-0074-9

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