THE PAINLEVE PROPERTY, INTEGRABILITY AND CHAOTIC BEHAVIOR OF A 2-COUPLED DUFFING OSCILLATORS

Integrability and chaotic behaviour in a two-coupled Duffing oscillato rs are studied. The coupling is nonlinear. Painleve test is performed to identify integrable cases of damped- and force-free system. Exact a nalytical solutions are given for the integrable cases. Effect of exte rnal periodic forces for (i) single well with infinite height potentia l, (ii) potential with a hump at the centre and (iii) single well with finite height hump potential are numerically investigated. Occurrence of multiple attractors and period doubling cascades of coexisting att ractors is presented.