Discussion on the Complicated Topological Dynamic System of Ordinary Differential Equation (ODE)

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The dynamical system of ODEs is about closed-form researches into the field of ODEs from the perspective of dynamical systems. This paper, starting with the research of path in autonomous differential equations and discussion on Poincaré’s viewpoints, probes into the complicated topological dynamic system of ODEs.

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30-37

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November 2014

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© 2015 Trans Tech Publications Ltd. All Rights Reserved

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[1] Devaney R. A New Proof of Brouwer's Lemma on Translation Arcs. Houston Journal of Math, Vol. 10, 35~41, (1984).

Google Scholar

[2] Wiggins S. Introduction to Applied Nonlinear Dynamical Systems and Chaos. TAM2, NEW YORK: Springer-Verlag, (1990).

Google Scholar

[3] Banks J, Brooks G, Cairns G, Davis G, Stacey P. On Devaney's Definition of Chaos, Amer. Math. Monthly, Vol. 99, 332~333, (1992).

DOI: 10.2307/2324899

Google Scholar

[4] Robinson C. Dynamical Systems: Stability, Symbolic Dynamics, and Chaos. London: CRC Press, (1999).

Google Scholar

[5] Akin E, Auslander J, Berg K. When is a transitive map chaotic?《Conference in Ergodic Theory and Probability》(V. Berggeson,K. March,J. Rosenblatt, eds. ), 25~40, Watter de Gruyter, Berlin, (1996).

DOI: 10.1515/9783110889383.25

Google Scholar