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Minimal Braid in Applied Symbolic Dynamics
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| ZHANG Cheng;ZHANG Ya-Gang;PENG Shou-Li |
| Center for Nonlinear Complex Systems, Department of Physics,
Yunnan University, Kunming 650091 |
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| Cite this article: |
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ZHANG Cheng, ZHANG Ya-Gang, PENG Shou-Li 2003 Chin. Phys. Lett. 20 1444-1447 |
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Abstract Based on the minimal braid assumption, three-dimensional periodic flows of a dynamical system are reconstructed in the case of unimodal map, and their topological structures are compared with those of the periodic orbits of the Rössler system in phase space through the numerical experiment. The numerical results justify the validity of the minimal braid assumption which provides a suspension from one-dimensional symbolic dynamics in the Poincaré section to the knots of three-dimensional periodic flows.
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| Keywords:
05.45.-a
02.10.Kn
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Published: 01 September 2003
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