Synchronization and basin bifurcations in mutually coupled oscillators |
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| Authors: | U E Vincent A N Njah O Akinlade |
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| Affiliation: | (1) Nonlinear and Statistical Physics Research Group, Department of Physics, Olabisi Onabanjo University, P.M.B. 2002, Ago-Iwoye, Nigeria;(2) Department of Physics, College of Natural Sciences, University of Agriculture, Abeokuta, Nigeria |
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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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| Keywords: | Synchronization fractal basins Duffing oscillator cross-well chaos |
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