A Mechanism for Spatio-Temporal Disorder in Bistable Reaction-Diffusion Systems
| dc.creator | Hagberg, Aric | |
| dc.creator | Meron, Ehud | |
| dc.date | 1996-12-10 | |
| dc.date.accessioned | 2026-07-07T09:16:02Z | |
| dc.date.available | 2026-07-07T09:16:02Z | |
| dc.description | In bistable systems, the stability of front structures often influences the dynamics of extended patterns. We show how the combined effect of an instability to curvature modulations and proximity to a pitchfork front bifurcation leads to spontaneous nucleation of spiral waves along the front. This effect is demonstrated by direct simulations of a FitzHugh-Nagumo (FHN) model and by simulations of order parameter equations for the front velocity and curvature. Spontaneous spiral-wave nucleation often results in a state of spatio-temporal disorder involving repeated events of spiral wave nucleation, domain spliting and spiral wave annihilation. | |
| dc.description | 10 pages. An HTML version of this article is at http://www.springer-ny.com/nst/nstarticles.html . Aric Hagberg: http://t7.lanl.gov/People/Aric/; Ehud Meron: http://www.bgu.ac.il/BIDR/research/staff/meron.html To appear in Nonlinear Science Today, 1996: http://www.springer-ny.com/nst/ | |
| dc.identifier | https://arxiv.org/abs/patt-sol/9612001 | |
| dc.identifier | http://arxiv.org/abs/patt-sol/9612001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153225 | |
| dc.subject | Pattern Formation and Solitons | |
| dc.title | A Mechanism for Spatio-Temporal Disorder in Bistable Reaction-Diffusion Systems | |
| dc.type | text |