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The principal measure and distributional (p, q)-chaos of a coupled lattice system related with Belusov–Zhabotinskii reaction

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Abstract

García Guirao and Lampart (J Math Chem 48:66–71, 2010; J Math Chem 2 48:159–164, 2010) said that for non-zero couplings constant, the lattice dynamical system is more complicated. Motivated by this, in this paper, we prove that this coupled lattice system is distributionally (p, q)-chaotic for any pair 0 ≤ p ≤ q ≤ 1 and its principal measure is not less than \({\frac{2}{3} + \sum_{n=2}^{\infty} \frac{1}{n} \frac{2^{n-1}}{(2^{n}+1)(2^{n-1}+1)}}\) for coupling constant \({0 < \epsilon < 1}\) .

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Authors and Affiliations

  1. School of Mathematics Science, University of Electronic Science and Technology of China, Chengdu, 611731, Sichuan, People’s Republic of China

    Xinxing Wu & Peiyong Zhu

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  1. Xinxing Wu
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  2. Peiyong Zhu
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Correspondence to Xinxing Wu.

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Wu, X., Zhu, P. The principal measure and distributional (p, q)-chaos of a coupled lattice system related with Belusov–Zhabotinskii reaction. J Math Chem 50, 2439–2445 (2012). https://doi.org/10.1007/s10910-012-0041-7

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  • DOI: https://doi.org/10.1007/s10910-012-0041-7

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