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arxiv: 1602.02548 · v1 · pith:3F7ACLJTnew · submitted 2016-02-08 · 🌊 nlin.CD

A nonlinear system with weak dissipation under external force on incommensurate frequency: coexistence of attractors

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keywords externalattractorscoexistenceforcingfrequencyincommensurateinvestigatednumber
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The behaviour of the 2D model system - the Ikeda map - is investigated in the weakly dissipative regime under external forcing on the incommensurate frequency. Coexistence of a large number of stable invariant curves is shown. Dependence of the number of coexisting attractors on the external forcing amplitude and nonlinearity parameter is investigated.

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