Multiple nested basin boundaries in nonlinear driven oscillators☆
作者： Yongxiang Zhang , Xiangpeng Xie , Guanwei Luo
DOI: 10.1016/J.CNSNS.2016.08.010
关键词: Type (model theory) 、 Discrete mathematics 、 Mathematics 、 Nonlinear system 、 Boundary (topology) 、 Limit cycle 、 Structural basin 、 Saddle 、 Geometry 、 Multistability 、 Attractor 、 Modelling and Simulation 、 Applied mathematics 、 Numerical analysis
摘要: Abstract A special type of basins attraction for high-period coexisting attractors is investigated, which basin boundaries possess multiple nested structures in a driven oscillator. We analyze the global organization and discuss mechanism appearance layered structures. The unstable periodic orbits limit cycle are also detected governed by ordering regular saddles saddle connections interrupted cycle. Wada boundary with different number discovered. hidden rare verified.
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