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Qualitative analysis of a new Lorenz‐type chaotic system and its simulation
Author(s) -
Zhang Fuchen,
Li Kunqiong,
Zhang Guangyun,
Mu Chunlai
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3960
Subject(s) - correctness , chaotic , lorenz system , mathematics , stability (learning theory) , qualitative analysis , type (biology) , chaotic systems , attractor , calculus (dental) , statistical physics , computer science , mathematical analysis , algorithm , qualitative research , artificial intelligence , physics , machine learning , social science , ecology , sociology , biology , medicine , dentistry
In this paper, the ultimate bound for a new chaotic system is derived based on stability theory of dynamical systems. The meaningful contribution of this article is that the results presented in this paper contain the existing results as special cases. Finally, numerical simulations are given to verify the effectiveness and correctness of the obtained results. Copyright © 2016 John Wiley & Sons, Ltd.