On the existence of separatrix loops in four-dimensional systems similar to the integrable Hamiltonian systems

DOI10.1016/0021-8928(83)90059-XzbMath0554.70011OpenAlexW2043804426MaRDI QIDQ760219

Ya. L. Umanskij, Lev M. Lerman

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0021-8928(83)90059-x

zbMATH Keywords

integrable Hamiltonian systemsfourdimensional systemmodified Melnikov methodseparatrix loopssingularity of saddle focus type

Mathematics Subject Classification ID

Hamilton's equations (70H05)

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Cites Work

• Differentiable dynamical systems
• A CONTRIBUTION TO THE PROBLEM OF THE STRUCTURE OF AN EXTENDED NEIGHBORHOOD OF A ROUGH EQUILIBRIUM STATE OF SADDLE-FOCUS TYPE
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
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