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- W3018767337 abstract "Three-dimensional autonomous ordinary differential equations (ODEs) are the simplest and most important chaotic systems in nonlinear dynamics. In fact, they have been applied in many fields. In this paper, a systematic methodology for analyzing complex behavior of the ODEs chaotic system, as one of the ODEs chaotic systems, the improved TCS which satisfies the condition <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>$a_{12}a_{21} = 0$ </tex-math></inline-formula> , is proposed. It is dissipative, chaos, symmetric, antimonotonicity and can generate multiple directional ( <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>$Mtimes Ntimes L$ </tex-math></inline-formula> ) scroll attractors. Then, bifurcation diagrams, Lyapunov exponents, time series, Poincare sections, and Hausdroff dimensions are analyzed by setting the parameters and initial value. More interestingly, antimonotonicity (named reverse period-doubling bifurcation) and coexisting bifurcations are also reported. Finally, the results of theoretical analyses may be verified by electric experimental." @default.
- W3018767337 created "2020-05-01" @default.
- W3018767337 creator A5001937247 @default.
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- W3018767337 date "2020-01-01" @default.
- W3018767337 modified "2023-10-03" @default.
- W3018767337 title "Antimonotonicity, Chaos and Multidirectional Scroll Attractor in Autonomous ODEs Chaotic System" @default.
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- W3018767337 doi "https://doi.org/10.1109/access.2020.2988915" @default.
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