ARTICLE NAME:

Bifurcation and chaos in two coupled periodically driven four-well Duffing-vander Pol oscillators

AUTHOR NAME

V. Bala Shunmuga Jothi, S. Selvaraj , L. Ravisankar and V. Chinnathambi

ISSUE:

VOL.1, NO.2

YEAR:

2018

PAGE NO:

218-223

ABSTRACT:

Bifurcation and chaos in two coupled periodically driven four-well Duffing-vander Pol oscillators is numerically investigated as a function of nonlinear coupling(δ) and the strength of the driving force amplitude ( f ). The influence of small values of coupling (δ <<1) and large values of coupling (δ >>1) is analyzed with and without external force. For large values of coupling (δ >>1), the system (1) shows completely chaotic behaviour but for small values of coupling the system(1) leads to period doubling routes to chaos, quasiperiodic orbit, reverse - period doubling bifurcation, periodic windows, chaotic orbit and intermittent behaviours for the specific set of values of the parameters of the system. We characterize periodic, quasiperiodic and chaotic orbits by constructing the bifurcation diagram, phase portrait and Poincare map.

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