Coexistence of strange nonchaotic attractors in a quasiperiodically forced dynamical map. (English) Zbl 1456.37038
Summary: In this paper, we investigate coexisting strange nonchaotic attractors (SNAs) in a quasiperiodically forced system. We also describe the basins of attraction for coexisting attractors and identify the mechanism for the creation of coexisting attractors. We find three types of routes to coexisting SNAs, including intermittent route, Heagy-Hammel route and fractalization route. The mechanisms for the creation of coexisting SNAs are investigated by the interruption of coexisting torus-doubling bifurcations. We characterize SNAs by the largest Lyapunov exponents, phase sensitivity exponents and power spectrum. Besides, the SNAs with extremely fractal basins exhibit sensitive dependence on the initial condition for some particular parameters.
MSC:
| 37D45 | Strange attractors, chaotic dynamics of systems with hyperbolic behavior |
| 37G35 | Dynamical aspects of attractors and their bifurcations |
| 37C70 | Attractors and repellers of smooth dynamical systems and their topological structure |
Keywords:
multistability; coexisting attractors; basin of attraction; strange nonchaotic attractor; fractalsReferences:
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