Selfdual Variational Principles for Periodic Solutions of Hamiltonian and Other Dynamical Systems

DOI10.1080/03605300600781634zbMath1130.35008arXivmath/0509502OpenAlexW2079670791MaRDI QIDQ5294663

Nassif Ghoussoub, Abbas Moameni

Publication date: 25 July 2007

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0509502

zbMATH Keywords

periodic orbitsHamiltonian systemsnonlinear boundary conditionsgradient flowsanti-periodicselfdualityanti-selfdualskew-periodic

Mathematics Subject Classification ID

Related Items (9)

Hamiltonian systems of PDEs with selfdual boundary conditions ⋮ A NEW VARIATIONAL FORMULATION FOR CONVEX HAMILTONIAN SYSTEMS WITH NONLINEAR BOUNDARY CONDITIONS ⋮ Variational resolution for some general classes of nonlinear evolutions. II ⋮ Hamiltonian systems as selfdual equations ⋮ A non-incremental numerical method for dynamic elastoplastic problems by the symplectic Brezis-Ekeland-Nayroles principle ⋮ Non-convex self-dual Lagrangians: new variational principles of symmetric boundary value problems ⋮ Bipotentials for non-monotone multivalued operators: fundamental results and applications ⋮ Anti-self-dual Lagrangians: variational resolutions of non-self-adjoint equations and dissipative evolutions ⋮ Metric selfduality and monotone vector fields on manifolds

Cites Work

• A variational principle for gradient flows
• Anti-self-dual Lagrangians: variational resolutions of non-self-adjoint equations and dissipative evolutions
• Critical point theory and Hamiltonian systems

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