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- W2364554703 abstract "It is hard to apply topological horseshoe in 3D maps due to high dimension and complex structure since dimension of a chaotic attractor is often lower than its state space. We fit a surface with attractor near a selected unstable periodic orbit,and present adimension reductionmethod to find topological horseshoes with one-directional expansion in 3D space. It is realized with a MATLAB toolbox. Compass walking model is shown to verify effectiveness,and illustrates detailed procedure for finding a topological horseshoe.It successfully verifys existence of chaotic gait and analyzes chaotic invariant set with horseshoe." @default.
- W2364554703 created "2016-06-24" @default.
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- W2364554703 date "2016-01-01" @default.
- W2364554703 modified "2023-09-27" @default.
- W2364554703 title "3D Topological Horseshoes with 1-Directional Expansion and Application in Compass Walking Model" @default.
- W2364554703 hasPublicationYear "2016" @default.
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