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Spiral Meandering (1998)
| Content Provider | CiteSeerX |
|---|---|
| Author | Barkley, Dwight |
| Description | . The complex, so called meandering, dynamics of spiral waves in excitable media is examined from the point of view of bifurcation theory. A computational bifurcation analysis is made of spiral dynamics. It is shown that spiral meandering is organized in parameter space around a codimension-two point where a Hopf bifurcation from rotating waves interacts with symmetries on the plane. A simple model of such a symmetric bifurcation then leads to a very simple picture for the wealth of spiral behavior. Key words: Reaction-Diffusion, spiral waves, meandering 1 Introduction Soon after the first observation of rotating spiral waves in what is now known as the Belousov-Zhabotinskii reaction [1, 2], Arthur Winfree noted in a footnote to a paper published in Science [3] that these spiral waves do not necessarily rotate rigidly about fixed centers. Winfree's careful examination revealed that the tips of spiral waves could trace out complex patterns as they rotate. He coined the term "meanderi... |
| File Format | |
| Language | English |
| Publisher Date | 1998-01-01 |
| Publisher Institution | Chemical Waves and Patterns |
| Access Restriction | Open |
| Subject Keyword | Arthur Winfree Simple Model Hopf Bifurcation Symmetric Bifurcation Simple Picture Parameter Space Belousov-zhabotinskii Reaction Bifurcation Theory Spiral Meandering First Observation Spiral Wave Computational Bifurcation Analysis Key Word Codimension-two Point Wave Interacts Fixed Center Term Meanderi Excitable Medium Spiral Dynamic Careful Examination Complex Pattern Spiral Behavior Introduction Soon |
| Content Type | Text |
| Resource Type | Article |
