Boundary-induced spatiotemporal complex patterns in excitable systems

TY - JOUR

T1 - Boundary-induced spatiotemporal complex patterns in excitable systems

AU - Nekhamkina, Olga

AU - Sheintuch, Moshe

PY - 2006

Y1 - 2006

N2 - We show that inhomogeneous boundary conditions (BCs) in a distributed reaction-diffusion excitable system are a natural source of permanent perturbations that can induce wave trains, which can be characterized as mixed-mode temporal oscillations and, when a parameter is varied, admit a period-adding bifurcation. 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. 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.

AB - We show that inhomogeneous boundary conditions (BCs) in a distributed reaction-diffusion excitable system are a natural source of permanent perturbations that can induce wave trains, which can be characterized as mixed-mode temporal oscillations and, when a parameter is varied, admit a period-adding bifurcation. 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. 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.

UR - http://www.scopus.com/inward/record.url?scp=33745548972&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.73.066224

DO - 10.1103/PhysRevE.73.066224

M3 - 文章

AN - SCOPUS:33745548972

SN - 2470-0045

VL - 73

JO - Physical Review E

JF - Physical Review E

IS - 6

M1 - 066224

ER -