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Chaos to periodicity and periodicity to chaos by periodic perturbations in the Belousov–Zhabotinsky reaction

✍ Scribed by Qian Shu Li; Rui Zhu

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
340 KB
Volume
19
Category
Article
ISSN
0960-0779

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✦ Synopsis

A three-variable model of the Belousov-Zhabotinsky reaction system subject to external sinusoidal perturbations is investigated by means of frequency spectrum analysis. In the period-1 window of the model, the transitions from periodicity to chaos are observed; in the chaotic window, the transitions from chaos to periodicity are found. The former might be understood by the circle map of two coupled oscillators, and the latter is partly explained by the resonance between the main frequency of the chaos and the frequency of the external periodic perturbations.

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