On the Nonchaotic Nature of Monotone Dynamical Systems

Authors

  • Morris W. Hirsch Department of Mathematics University of Wisconsin at Madison University of California at Berkeley

DOI:

https://doi.org/10.29020/nybg.ejpam.v12i3.3492

Keywords:

Topological dynamics, Monotone systems, Strange attractors, Chaotic dynamics

Abstract

Two common types of dynamics, chaotic and monotone, are compared. It is shown that monotone maps in strongly ordered spaces do not have chaotic attractors.

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Published

2019-07-25

How to Cite

Hirsch, M. W. (2019). On the Nonchaotic Nature of Monotone Dynamical Systems. European Journal of Pure and Applied Mathematics, 12(3), 680–688. https://doi.org/10.29020/nybg.ejpam.v12i3.3492

Issue

Vol. 12 No. 3: (July 2019)

Section

Nonlinear Analysis

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.