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• W1870105587 abstract "This paper introduces a new simple system with a butterfly chaotic attractor. This system has rich and complex dynamics. With some typical parameters, its Lyapunov dimension is greater than other known three dimensional chaotic systems. It exhibits chaotic behavior over a large range of parameters, and the divergence of flow of this system is not a constant. The dynamics of this new system are analyzed via Lyapunov exponent spectrum, bifurcation diagrams, phase portraits and the Poincaré map. The compound structures of this new system are also analyzed. By means of topological horseshoe theory and numerical computation, the Poincaré map defined for the system is proved to be semi-conjugate to 3-shift map, and thus the system has positive topological entropy." @default.
• W1870105587 created "2016-06-24" @default.
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• W1870105587 date "2015-08-03" @default.
• W1870105587 modified "2023-09-26" @default.
• W1870105587 title "A New Chaotic System with Positive Topological Entropy" @default.
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• W1870105587 doi "https://doi.org/10.3390/e17085561" @default.
• W1870105587 hasPublicationYear "2015" @default.
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