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.

Downloads

Published

2019-07-25

Issue

Vol. 12 No. 3: (July 2019)

Section

Nonlinear Analysis

License

Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.

By agreeing to this statement, you acknowledge that:

  • You retain full copyright over your work.
  • The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
  • This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.

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