Symbolic Dynamics of the Forced Brusselator

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理论物理通讯 ›› 1995, Vol. 23 ›› Issue (3) : 315-322.

Jun-Xian LIU, Wei-Mou ZHENG

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Symbolic Dynamics of the Forced Brusselator

Jun-Xian LIU, Wei-Mou ZHENG

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The symbolic dynamics of the periodically forced Brusselator for certain parameters is established, based on the binary partition determined from primary tangencies between forward and backward foliations of the Poincaré map. The ordering rule for forward and backward sequences is obtained, and the admissibility condition for allowed sequences is discussed. Some allowed periodic orbits are determined and numerically verified. A method to construct allowed chaotic sequences is proposed.

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Jun-Xian LIU, Wei-Mou ZHENG. Symbolic Dynamics of the Forced Brusselator[J]. 理论物理通讯, 1995, 23(3): 315-322

Jun-Xian LIU, Wei-Mou ZHENG. Symbolic Dynamics of the Forced Brusselator[J]. Communications in Theoretical Physics, 1995, 23(3): 315-322

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