Coexisting chaotic attractors, their basin of attractions and synchronization of chaos in two coupled Duffing oscillators

Two coupled Duffing oscillators equations with several coexisting chaotic a ttractors are considered. Six coexisting chaotic attractors are observed fo r the range of initial conditions considered in our study. For two attracto rs the basin of attraction is a simple disconnected straight Line, while fo r the rest of the attractors it appears to be very complex. Phase portraits of (two) subsystems are found to be distinct for two attractors while iden tical for the other four attractors. Among these four attractors, state var iables of the subsystems are perfectly synchronized for two attractors and asynchronized for the other two attractors. Synchronization of subsystems i s studied by employing a continuous feedback method. (C) 1999 Published by Elsevier Science B.V. All rights reserved.