Wavetrain response of an excitable medium to local stochastic forcing

DOI10.1088/0951-7715/20/1/004zbMath1132.60049OpenAlexW2171299534MaRDI QIDQ5296500

R. E. Lee Deville, Eric Vanden-Eijnden

Publication date: 1 August 2007

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/560aaa37edaa72da2b206758f5a485c62b62f444

zbMATH Keywords

large deviationsstochastic partial differential equationsignal transmissionself-induced stochastic resonance in infinite dimensions

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Large deviations (60F10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (5)

Instability of periodic traveling wave solutions in a modified Fitzhugh-Nagumo model for excitable media ⋮ Stability of periodic traveling waves in the Aliev-Panfilov reaction-diffusion system ⋮ Numerical continuation methods for studying periodic travelling wave (wavetrain) solutions of partial differential equations ⋮ Spiral patterns and numerical bifurcation analysis in a three-component Brusselator model for chemical reactions ⋮ Inhibitor-induced wavetrains and spiral waves in an extended FitzHugh-Nagumo model of nerve cell dynamics

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