ONE-DIMENSIONAL DOMAINS IN SYSTEMS WITH LONG-RANGE INHIBITION

Authors
BARTUSSEK R ZULICKE C SCHIMANSKYGEIER L
Citation
R. Bartussek et al., ONE-DIMENSIONAL DOMAINS IN SYSTEMS WITH LONG-RANGE INHIBITION, Chaos, solitons and fractals, 5(10), 1995, pp. 1927-1934
Citations number
17
Categorie Soggetti
Mathematics,Mechanics,Engineering,"Physics, Applied
Journal title
Chaos, solitons and fractals → ACNP
ISSN journal
09600779
Volume
5
Issue
10
Year of publication
1995
Pages
1927 - 1934
Database
ISI
SICI code
0960-0779(1995)5:10<1927:ODISWL>2.0.ZU;2-I
Abstract
We investigate a standard model-sharing characteristic properties with the Van der Pol oscillator for electrical generators and the FitzHugh -Nagumo system. We study the effect of a long ranging inhibitor and di scuss the behaviour of solutions at short and large length scales. The main result is the existence of two inhomogeneous solutions-the small er one is always a saddle corresponding to a critical nucleus; the lar ger one appears stable for overcritical coupling.