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Hierarchy of chaotic bands |
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| Authors: | Bai-lin Hao Shu-yu Zhang |
| Affiliation: | (1) Service de Physique Théorique, CEA-Saclay, 91191 Gif-sur-Yvette, Cedex, France;(2) Present address: The Institute of Theoretical Physics, Academia Sinica, P.O. Box 2735, Beijing, China;(3) The Institue of Physics, Academia Sinica, P.O. Box 603, Beijing, China |
| Abstract: | Results of a detailed numerical study on the structure of chaotic bands in a forced limit cycle oscillator (the Brusselator) are presented. Embedded in the chaotic bands of primary bifurcation sequence there are many secondary sequences with both direct and inverse segments. Within secondary chaotic bands tertiary sequences of similar structure exist. This has been shown by using subharmonic stroboscopic sampling combined with power spectra analysis. |
| Keywords: | Period-doubling bifurcation chaos strange attractor |
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