An investigation of chaos in reaction-diffusion equations

✍ Scribed by James J. Wachholz; John C. Bruch Jr.

• Publisher: John Wiley and Sons
• Year: 1987
• Tongue: English
• Weight: 869 KB
• Volume: 3
• Category: Article
• ISSN: 0749-159X
• DOI: 10.1002/num.1690030302

✦ Synopsis

The purpose of this article is to investigate graphically and numerically the topic of chaos in reaction-diffusion equations. This article is based on the article by Mitchell and Bruch [ 11. One-and two-dimensional forms of the reaction-diffusion equation are discretized using the explicit Euler finite difference scheme. Plots are presented to show the effect of bifurcation parameters on the difference equations. Varying these parameters produce single point, periodic, chaotic, intermittent, and divergent solutions. examine Eq. (1) for a two-dimensional space. The one-and two-dimensional forms of Eq. ( 1 ) are