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Analysis of a new quadratic 3D chaotic attractor - MaRDI portal

Analysis of a new quadratic 3D chaotic attractor (Q370032)

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scientific article; zbMATH DE number 6209345
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Analysis of a new quadratic 3D chaotic attractor
scientific article; zbMATH DE number 6209345

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    Analysis of a new quadratic 3D chaotic attractor (English)
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    19 September 2013
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    Summary: A new three-dimensional chaotic system is introduced. Basic properties of this system show that its corresponding attractor is topologically different from some well-known systems. Next, detailed information on dynamic of this system is obtained numerically by means of Lyapunov exponents spectrum, bifurcation diagrams, and 0-1 chaos indicator test. We finally prove existence of this chaotic attractor theoretically using Shil'nikov theorem and undetermined coefficient method.
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