Existence of nonstationary periodic solutions of \(G\)-symmetric asymptotically linear autonomous Newtonian systems with degeneracy

DOI10.1216/RMJ-2010-40-3-873zbMath1203.37101WikidataQ115474296 ScholiaQ115474296MaRDI QIDQ983498

Anna Gołȩbiewska, Justyna Fura, Haibo Ruan

Publication date: 23 July 2010

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

zbMATH Keywords

Weyl groupdihedral groupsequivariant degreeorbit typeEuler ringisotropy subgroup\(G\)-symmetric autonomous Newton system with degeneracygradient G-mapisotypical decomposition

Mathematics Subject Classification ID

Related Items (2)

Multiple periodic solutions for \(\Gamma\)-symmetric Newtonian systems ⋮ Solutions of fixed period in the nonlinear wave equation on networks

Cites Work

• Estimate of the number of periodic solutions via the twist number
• Degree for equivariant gradient maps
• Transformation groups
• Critical point theory and Hamiltonian systems
• Applications of equivariant degree for gradient maps to symmetric Newtonian systems
• Existence and continuation of periodic solutions of autonomous Newtonian systems
• Classification of homotopy classes of equivariant gradient maps
• Periodic solutions of asymptotically linear Hamiltonian systems
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