On the globally coupled lattice system (GCM) associated with the Belusov-Zhabotinskii reaction (p,q)-points on the coupling constant ε ∈ (0,1]

  • Xin Chen Sichuan Agricultural University
  • Kai Yu
  • Yuhan Kang Department of Applied Mathematics, Sichuan Agricultural University, Ya’an, Sichuan, 625014, P.R.
  • Chunlu Wangxia Department of Applied Mathematics, Sichuan Agricultural University, Ya’an, Sichuan, 625014, P.R.
Keywords: Globally coupled system ;distributionally (p, q)-chaos;Measure

Abstract

This paper focuses on the Global Coupling System (GCM) associated with the Belusov-Zhabotinskii reaction:
捕获.PNG

where m is discrete time index, n is lattice side index with system size L, ε ∈ (0,1] is coupling constant and fn is a continuous selfmap on [0,1] for every n ∈ {1,2,··· ,L}.We prove that the system is distributionally (p,q)-chaotic on the non-zero coupling constant ε ∈ (0,1), and its main metric is not less than  捕获1.PNG

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Published
2019-01-11
How to Cite
Chen, X., Yu, K., Kang, Y., & Wangxia, C. (2019). On the globally coupled lattice system (GCM) associated with the Belusov-Zhabotinskii reaction (p,q)-points on the coupling constant ε ∈ (0,1]. Journal of Progressive Research in Mathematics, 14(3), 2446-2451. Retrieved from http://scitecresearch.com/journals/index.php/jprm/article/view/1679
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Articles