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

Issue

Section

Nonlinear Analysis

How to Cite

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