Periodic solution and global structure of Oregonator

DOI10.1016/S0960-0779(99)00025-9zbMath0956.34025OpenAlexW2037768854MaRDI QIDQ1579830

Tianshou Zhou, Zuo-huan Zheng, Suochun Zhang, Zifan Zhang

Publication date: 26 February 2001

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

Full work available at URL: https://doi.org/10.1016/s0960-0779(99)00025-9

zbMATH Keywords

heteroclinic orbitsglobal behaviornonexistence of periodic solutions

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Biochemistry, molecular biology (92C40) Growth and boundedness of solutions to ordinary differential equations (34C11) Qualitative investigation and simulation of ordinary differential equation models (34C60) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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Spatio-temporal patterns in two-dimensional excitable media subject to Robin boundary conditions ⋮ Spiral waves in three-dimensional excitable media with light-sensitive reaction ⋮ Complex patterns in three-dimensional excitable media with advection ⋮ Convection-induced anisotropy in excitable media subject to solenoidal advective flow fields. ⋮ Tile patterns in excitable media subject to non-solenoidal flow fields ⋮ 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

• The existence of trajectories joining critical points
• Oregonator: General results of positive steady state and its stability
• Unnamed Item

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