Tile patterns in excitable media subject to non-solenoidal flow fields

DOI10.1016/S0960-0779(00)00191-0zbMath0996.92007WikidataQ126975593 ScholiaQ126975593MaRDI QIDQ1600568

Juan I. Ramos

Publication date: 18 June 2002

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

zbMATH Keywords

spiral wavesspatially extended systemsbiological mediaOregonator equationsstability of moving fronts

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Developmental biology, pattern formation (92C15) Finite difference methods for boundary value problems involving PDEs (65N06) General biology and biomathematics (92B05)

Related Items (7)

Spiral wave break-up and planar front formation in two-dimensional reactive-diffusive media with straining ⋮ Spatio-temporal patterns in two-dimensional excitable media subject to Robin boundary conditions ⋮ Robustness of spiral waves in two-dimensional reactive-diffusive media. ⋮ Spiral waves in three-dimensional excitable media with light-sensitive reaction ⋮ Complex patterns in three-dimensional excitable media with advection ⋮ Wave propagation and suppression in excitable media with holes and external forcing ⋮ Dynamics of spiral waves in excitable media with local time-periodic modulation.

Cites Work

• Linearization methods for reaction-diffusion equations: Multidimensional problems
• Resonant drift of autowave vortices in two dimensions and the effects of boundaries and inhomogeneities
• Chaotic meander of spiral waves in the FitzHugh-Nagumo system
• Periodic solution and global structure of Oregonator
• On the movement of excitation wave breaks
• Propagation of spiral waves in anisotropic media: From waves to stripes
• Convection-induced anisotropy in excitable media subject to solenoidal advective flow fields.

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