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We report some new results associated with the synchronization behavior of two coupled double-well Duffingoscillators (DDOs). Some sufficient algebraic criteria for global chaos synchronization of the drive and response DDOs vialinear state error feedback control are obtained by means of Lyapunov stability theory. The synchronization is achievedthrough a bistable state in which a periodic attractor co-exists with a chaotic attractor. Using the linear perturbationanalysis, the prevalence of attractors in parameter space and the associated bifurcations are examined. Subcritical andsupercritical Hopf bifurcations and abundance of Arnold tongues—a signature of mode locking phenomenon are found.
Some sufficient algebraic criteria for global chaos synchronization of the drive and response DDOs vialinear state error feedback control are obtained by means of Lyapunov stability theory. The synchronization with achieved a bistable state in which a periodicity co-exists with a chaotic attractor. Using the linear perturbationanalysis, the prevalence of attractors in parameter space and the associated bifurcations are examined. Subcritical andsupercritical Hopf bifurcations and abundance of Arnold tongues-a signature of mode locking phenomenon are found.