Boundary-induced patterns in excitable systems: The structure of oscillatory domain

Olga Nekhamkina*, Moshe Sheintuch

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


The present work extends our recently published study on a mechanism of pattern formation in excitable media due to inhomogeneous boundary conditions (BC). To that end, we analyze a pair of coupled excitable and oscillatory cells, a distributed FitzHugh Nagumo model, and a distributed five-variable model that describes CO catalytic oxidation. For the three systems we determine the structure of the oscillatory domains, composed of bands of complex firing solutions with period-adding bifurcations, and show the commonality of the structures. The obtained results account for the recently reported experimental observations of mixed-mode oscillations showing a period-adding bifurcation during CO oxidation on a disk-shaped catalytic cloth with imposed cold temperature BC.

Original languageEnglish
Article number056210
JournalPhysical Review E
Issue number5
StatePublished - 18 May 2007
Externally publishedYes


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