Local bifurcations on the plane with reversing point group symmetry

DOI10.1016/0960-0779(93)E0022-4zbMath0843.58097OpenAlexW1966215923MaRDI QIDQ1346783

H. W. Capel, Jeroen S. W. Lamb

Publication date: 19 August 1996

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

Full work available at URL: https://doi.org/10.1016/0960-0779(93)e0022-4

zbMATH Keywords

dynamical systemsbifurcationssymmetry breakingreversing point grouptwo- and fourfold rotations

Mathematics Subject Classification ID

Related Items (13)

Conditions for local (reversing) symmetries in dynamical systems ⋮ Reversing \(k\)-symmetries in dynamical systems ⋮ Singularities of reversible vector fields ⋮ Quasi-periodic bifurcations in reversible systems ⋮ The classification of reversible-equivariant steady-state bifurcations on self-dual spaces ⋮ Reversible equivariant linear systems ⋮ Breakdown of symmetry in reversible systems ⋮ Periodic orbits in \(k\)-symmetric dynamical systems ⋮ The reversible umbilic bifurcation ⋮ Time-reversible and equivariant pitchfork bifurcation ⋮ Quasi-periodic stability of normally resonant tori ⋮ Shift dynamics near non-elementary T-points with real eigenvalues ⋮ When gap solitons become embedded solitons: A generic unfolding

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