On the stability of periodic Hamiltonian systems with one degree of freedom in the case of degeneracy

DOI10.1134/S1560354715060015zbMath1351.37222OpenAlexW2298586481MaRDI QIDQ283348

Boris S. Bardin, Victor Lanchares

Publication date: 13 May 2016

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354715060015

zbMATH Keywords

Lyapunov stabilityHamiltonian systemsnormal formsKAM theoryresonancestability theoryChetaev's function

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Stability theory for smooth dynamical systems (37C75) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25)

Related Items (6)

The linearization of periodic Hamiltonian systems with one degree of freedom under the Diophantine condition ⋮ Stability of a one-degree-of-freedom canonical system in the case of zero quadratic and cubic part of a Hamiltonian ⋮ Integrals of motion in time-periodic Hamiltonian systems: the case of the Mathieu equation ⋮ On the stability of a periodic Hamiltonian system with one degree of freedom in a transcendental case ⋮ Stability of equilibrium points for a Hamiltonian systems with one degree of freedom in one degenerate case ⋮ Order and chaos in time periodic Hamiltonian systems

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