Loss of stability in Hamiltonian systems that depend on parameters

DOI10.1016/0021-8928(92)90004-RzbMath0799.58032MaRDI QIDQ1314197

Dmitrij V. Treshev

Publication date: 7 March 1994

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

zbMATH Keywords

stabilityperiodic solutionsHamiltonian systemsbifurcationsequilibria

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Stability theory for smooth dynamical systems (37C75) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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Cites Work

• Estimates in the Kolmogorov theorem on conservation of conditionally periodic motions
• Numerical stability investigation of the Lagrange solutions of an elliptic restricted three-body problem
• On the stability of an autonomous Hamiltonian system with two degrees of freedom in the case of equal frequencies
• On stability of an autonomous Hamiltonian system with two degrees of freedom under first-order resonance
• Normalization of a Hamiltonian system near an invariant cycle or torus
• SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS
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