On periodic motions of lattices of Toda type via critical point theory

DOI10.1007/BF00380897zbMath0809.34056OpenAlexW2071090596WikidataQ59311013 ScholiaQ59311013MaRDI QIDQ1337984

P. N. Srikanth, Bernhard Ruf

Publication date: 30 March 1995

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00380897

zbMATH Keywords

periodic solutionsindex theoryPalais Smale conditionglobal variational methodordinary differential systems of Toda type

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (11)

Ground states for infinite lattices with nearest neighbor interaction ⋮ Existence and numerical approximation of periodic motions of an infinite lattice of particles ⋮ Solitary waves with prescribed speed on infinite lattices ⋮ Multiple periodic solutions for lattice dynamical systems with superquadratic potentials ⋮ Periodic motions of an infinite lattice of particles with nearest neighbor interaction ⋮ Periodic motion for FPU lattice dynamical systems with the strongly indefinite case ⋮ Periodic motions for FPU lattice systems with asymptotically quadratic potentials ⋮ Unnamed Item ⋮ Multiple periodic solutions for two-dimensional lattice dynamic systems ⋮ On periodic motions of a two dimensional Toda type chain ⋮ Two novel methods and multi-mode periodic solutions for the Fermi-Pasta-Ulam model

Cites Work

• Unnamed Item
• Relative cohomological index theories
• Critical point theory and Hamiltonian systems
• Theory of nonlinear lattices.
• Generalized cohomological index theories for Lie group actions with an application to bifurcation questions for Hamiltonian systems
• Dual variational methods in critical point theory and applications
• Existence of multiple periodic orbits on star‐shaped hamiltonian surfaces
• A geometrical index for the groupS1 and some applications to the study of periodic solutions of ordinary differential equations
• On Critical Point Theory for Indefinite Functionals in The Presence of Symmetries
• Borsuk-Ulam Theorems for Arbitrary S 1 Actions and Applications
• PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN

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