Synchronization and basin bifurcations in mutually coupled oscillators

Pramana

A N Njah¹  U E Vincent1²  O Akinlade¹ 

[1] Department of Physics, College of Natural Sciences, University of Agriculture, Abeokuta, Nigeria$$;Nonlinear and Statistical Physics Research Group, Department of Physics, Olabisi Onabanjo University, P.M.B. 2002, Ago-Iwoye, Nigeria$$

关键词: Synchronization;    fractal basins;    Duffing oscillator;    cross-well chaos.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

Synchronization behaviour of two mutually coupled double-well Duffig 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.

【 授权许可】

Unknown