The effect of delay and diffusion on spontaneous symmetry breaking in functional differential equations

DOI10.1216/RMJM/1181072301zbMath0830.34065OpenAlexW2089918902MaRDI QIDQ1898333

Jianhong Wu

Publication date: 17 September 1995

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072301

zbMATH Keywords

periodic solutionsHopf bifurcationspontaneous symmetry breakingdiscrete waves in Turing rings with retarded diffusionfamily of retarded differential equationsspatial-temporal symmetry

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Classical flows, reactions, etc. in chemistry (92E20) Bifurcation theory for ordinary differential equations (34C23) Periodic solutions to functional-differential equations (34K13) Bifurcation theory of functional-differential equations (34K18)

Cites Work

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• Global bifurcations of phase-locked oscillators
• Singularities and groups in bifurcation theory. Volume II
• Theory of functional differential equations. 2nd ed
• The dynamical systems approach to differential equations
• Global Hopf bifurcation from a multiple eigenvalue
• Discrete waves and phase-locked oscillations in the growth of a single-species population over a patchy environment
• Hopf bifurcation in the presence of symmetry

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