The splitting of separatrices and the generation of isolated periodic solutions in Hamiltonian systems with one-and-a-half degrees of freedom

DOI10.1070/RM1986V041N05ABEH003439zbMATH Open0653.70025OpenAlexW2036218920MaRDI QIDQ3799680

Valery V. Kozlov

Publication date: 1986

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1986v041n05abeh003439

zbMATH Keywords

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Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (3)

Splitting of separatrices in the resonances of nearly integrable Hamiltonian systems of one and a half degrees of freedom ⋮ Separatrix splitting at a Hamiltonian \(0^2i\omega\) bifurcation ⋮ SPLITTING OF THE SEPARATRICES AND THE NONEXISTENCE OF FIRST INTEGRALS IN SYSTEMS OF DIFFERENTIAL EQUATIONS OF HAMILTONIAN TYPE WITH TWO DEGREES OF FREEDOM

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