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Note on symmetry and bifurcation near families of solutions

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Publication:1838207
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DOI10.1016/0022-0396(83)90029-3zbMath0509.58015OpenAlexW2079717522MaRDI QIDQ1838207

André Vanderbauwhede

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0022-0396(83)90029-3


zbMATH Keywords

tubular neighborhoodfamilies of solutionsLjapunov-Schmidt reductioncompact group action on Banach space


Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)


Related Items

Stability of bifurcating solutions of equivariant equations ⋮ Forced frequency locking for differential equations with distributional forcings ⋮ Abstract forced symmetry breaking and forced frequency locking of modulated waves ⋮ Spatial and color hallucinations in a mathematical model of primary visual cortex



Cites Work

  • Symmetry and bifurcation near families of solutions
  • The G-invariant implicit function theorem in infinite dimensions II
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