Equivariant Conley index versus degree for equivariant gradient maps

DOI10.3934/DCDSS.2013.6.985zbMath1353.37103OpenAlexW2333044770WikidataQ115474292 ScholiaQ115474292MaRDI QIDQ1942818

Anna Gołȩbiewska, Sławomir Rybicki

Publication date: 14 March 2013

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2013.6.985

zbMATH Keywords

compact Lie groupequivariant Conley indexequivariant gradient degreestrongly indefinite operator

Mathematics Subject Classification ID

Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Group-invariant bifurcation theory in infinite-dimensional spaces (58E09)

Related Items (13)

Periodic solutions of asymptotically linear autonomous Hamiltonian systems with resonance ⋮ Periodic solutions of symmetric Hamiltonian systems ⋮ The Hopf theorem for gradient local vector fields on manifolds ⋮ Bifurcations from degenerate orbits of solutions of nonlinear elliptic systems ⋮ Bifurcations from the orbit of solutions of the Neumann problem ⋮ Periodic solutions to symmetric Newtonian systems in neighborhoods of orbits of equilibria ⋮ Connected sets of solutions of symmetric elliptic systems ⋮ Structure of sets of solutions of parametrised semi-linear elliptic systems on spheres ⋮ Topological degree for equivariant gradient perturbations of an unbounded self-adjoint operator in Hilbert space ⋮ Symmetric Liapunov center theorem for minimal orbit ⋮ Symmetric Liapunov center theorem ⋮ Symmetry breaking of solutions of non-cooperative elliptic systems ⋮ Global bifurcation from an orbit of solutions to non-cooperative semi-linear Neumann problem

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