Third and fourth order resonances in Hamiltonian systems

DOI10.1007/BF01227507zbMath0261.70020MaRDI QIDQ5677111

David L. Richardson, Kyle T. Alfriend

Publication date: 1973

Published in: Celestial Mechanics (Search for Journal in Brave)

Mathematics Subject Classification ID

Stability for problems in linear vibration theory (70J25) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items (5)

Stability of equilibrium solutions of autonomous and periodic Hamiltonian systems with \(n\)-degrees of freedom in the case of single resonance ⋮ The \(1:\pm 2\) resonance ⋮ On resonance and stability of conservative systems ⋮ Integration of near-resonant systems in slow-fluctuation approximation ⋮ Stability of equilibrium solutions of autonomous and periodic Hamiltonian systems in the case of multiple resonances

Cites Work

• Stability and motion in two degree of freedom Hamiltonian systems for three-to-one commensurability
• On bumping transfer of energy between nonlinearly coupled oscillators in third-order resonance
• Canonical transformations depending on a small parameter
• Expansion formulae in canonical transformations depending on a small parameter
• Periodic orbits emanating from a resonant equilibrium
• Stability and motion in two degree-of-freedom hamiltonian systems for two-to-one commensurability

This page was built for publication: Third and fourth order resonances in Hamiltonian systems