Boundary effects on the dynamics of monostable reaction-diffusion systems

We study a monostable reaction-diffusion model in a bounded domain, subjected to partially reflecting boundary conditions. We analyze the stability of the arising patterns and detect a bifurcation of the uniform solution induced by changes in the reflectivity of the boundaries. We examine the critic...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Von Haeften, B., Izús, G., Deza, R., Borzi, C.
Formato: JOUR
Materias:
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_03759601_v236_n5-6_p403_VonHaeften
Aporte de:
Descripción
Sumario:We study a monostable reaction-diffusion model in a bounded domain, subjected to partially reflecting boundary conditions. We analyze the stability of the arising patterns and detect a bifurcation of the uniform solution induced by changes in the reflectivity of the boundaries. We examine the critical slowing down of the system's dynamics in the neighborhood of the bifurcation point by analyzing its non-equilibrium potential. © 1997 Elsevier Science B.V.