Bifurcation at \(1:1\) resonance in a reversible system using the 3-jet of the normal form

DOI10.1006/JDEQ.1993.1114zbMath0804.35060OpenAlexW1970885734MaRDI QIDQ1318263

Joseph G. G. Yan

Publication date: 15 January 1995

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1993.1114

zbMATH Keywords

1:1 resonancenormal form analysisfourth order reversible systemspatially periodic steady statesstrong and subharmonic resonances

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Reaction-diffusion equations (35K57) Normal forms for dynamical systems (37G05) Bifurcations in context of PDEs (35B32) Group-invariant bifurcation theory in infinite-dimensional spaces (58E09)

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