Article ID Journal Published Year Pages File Type
1864439 Physics Letters A 2014 6 Pages PDF
Abstract

•Coexisting periodic and chaotic hidden attractors are observed.•Riddled-like complicated basins of coexisting hidden attractors are observed.•A new route to amplitude death is observed in time-delay coupled hidden attractors.

Understanding hidden attractors, whose basins of attraction do not contain the neighborhood of equilibrium of the system, are important in many physical applications. We observe riddled-like complicated basins of coexisting hidden attractors both in coupled and uncoupled systems. Amplitude death is observed in coupled hidden attractors with no fixed point using nonlinear interaction. A new route to amplitude death is observed in time-delay coupled hidden attractors. Numerical results are presented for systems with no or one stable fixed point. The applications are highlighted.

Related Topics
Physical Sciences and Engineering Physics and Astronomy Physics and Astronomy (General)
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