Coexistence of stable spots and fronts in a three-component FitzHugh-Nagumo system
van Heijster, Peter & Sandstede, Bjorn (2012) Coexistence of stable spots and fronts in a three-component FitzHugh-Nagumo system. RIMS Kokyuroku Bessatsu, B31, pp. 135-155.
We investigate regions of bistability between different travelling and stationary structures in a planar singularly-perturbed three-component reaction-diffusion system that arises in the context of gas discharge systems. In previous work, we delineated the existence and stabil-ity regions of stationary localized spots in this system. Here, we complement this analysis by establishing the stability regions of planar travelling fronts and stationary stripes. Taken together, these results imply that stable fronts and spots can coexist in three-component systems. Numerical simulations indicate that the stable fronts never move towards stable spots but instead move away from them.
Impact and interest:
Citation counts are sourced monthly from and citation databases.
These databases contain citations from different subsets of available publications and different time periods and thus the citation count from each is usually different. Some works are not in either database and no count is displayed. Scopus includes citations from articles published in 1996 onwards, and Web of Science® generally from 1980 onwards.
Citations counts from theindexing service can be viewed at the linked Google Scholar™ search.
|Item Type:||Journal Article|
|Divisions:||Current > Schools > School of Mathematical Sciences
Current > QUT Faculties and Divisions > Science & Engineering Faculty
|Copyright Owner:||Copyright 2012 Research Institute for Mathematical Sciences (RIMS)|
|Deposited On:||21 Dec 2012 01:01|
|Last Modified:||12 Jun 2013 15:24|
Repository Staff Only: item control page