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

2016/02/08 by M. V. Pozdnyakov, Pozdnyakov, M. V., A. V. Savin +4
Computer Science · Physics and Astronomy · #Chaos control and synchronization #Nonlinear Dynamics and Pattern Formation #nlin.CD #stochastic dynamics and bifurcation

paper · pdf · doi:10.48550/arxiv.1602.02548

10 pages, 8 figures

arxiv created 2016/02/08 · arxiv updated 2016/02/09

Abstract

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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