The bifurcation diagram of a model chemical reaction—II. Two dimensional time-periodic patterns

✍ Scribed by T. Erneux; M. Herschkowitz-Kaufman

• Book ID: 104272297
• Publisher: Springer
• Year: 1979
• Tongue: English
• Weight: 951 KB
• Volume: 41
• Category: Article
• ISSN: 1522-9602
• DOI: 10.1016/s0092-8240(79)80015-4

✦ Synopsis

The bifurcation equations of a general reaction-diffjasion system are derived for a circular surface. Particular attention is directed to the deformation of the circular boundary into an elliptic shape: This leads to a new bifurcation diagram which may involve secondary bifurcation, but which retains however the basic characteristics of. the solutions for the circular case. Numerical simulations of. the various coexisting, time-periodic and spacedependent solutions, are presented for a simple model reaction and circular geometry.