An interaction of three resonant modes in a nonlinear lattice

DOI10.1016/0022-247X(75)90056-6zbMath0309.58013MaRDI QIDQ1219093

S. Singh

Publication date: 1975

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Hamiltonian and Lagrangian mechanics (70H99) Software, source code, etc. for problems pertaining to global analysis (58-04)

Related Items

Asymptotic analysis of a class of three-degree-of-freedom Hamiltonian systems near stable equilibria ⋮ Geometry and chaos near resonant equilibria of 3-DOF Hamiltonian systems ⋮ Singular reduction of resonant Hamiltonians ⋮ On resonant non linearly coupled oscillators with two equal frequencies ⋮ Disappearance of integrals in systems of more than two degrees of freedom ⋮ Invariant surfaces and orbital behaviour in dynamical systems of 3 degrees of freedom. II ⋮ All relative equilibria of Hamiltonian in detuned 1:2:3 resonance ⋮ On resonant classical Hamiltonians with two equal frequencies ⋮ Geometric phases, reduction and Lie-Poisson structure for the resonant three-wave interaction.

Cites Work

• On the applicability of the third integral of motion
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item