Detailed asymptotics for a convex Hamiltonian system with two degrees of freedom

DOI10.1007/BF01063739zbMath0771.34038MaRDI QIDQ1209578

Alain Haraux, Fred B. Weissler, Thierry Cazenave

Publication date: 16 May 1993

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

zbMATH Keywords

asymptotic solutionsperiodic solutionHamiltonian systemquasi-periodicexponentially asymptotic

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (7)

Asymptotic finite-dimensional approximations for a class of extensible elastic systems ⋮ Remarks on weak stabilization of semilinear wave equations ⋮ A class of nonlinear, completely integrable abstract wave equations ⋮ Global surfaces of section in non-regular convex energy levels of Hamiltonian systems ⋮ Convex energy levels of Hamiltonian systems ⋮ The role of boundary conditions in the torsional instability of suspension bridges ⋮ Chaos and integrability in a nonlinear wave equation

Cites Work

• Unnamed Item
• Unnamed Item
• Nonlinear effects in the wave equation with a cubic restoring force
• Some oscillatory properties of the wave equation in several space dimensions
• A class of nonlinear, completely integrable abstract wave equations
• Oscillatory Phenomena Associated to Semilinear Wave Equations in One Spatial Dimension
• Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz
• Periodic solutions of hamiltonian systems

This page was built for publication: Detailed asymptotics for a convex Hamiltonian system with two degrees of freedom