The singularity analysis for nearly integrable systems: homoclinic intersections and local multivaluedness

DOI10.1016/0167-2789(94)00137-FzbMath0894.58023OpenAlexW1990220778MaRDI QIDQ1893276

Alain Goriely, Michael Tabor

Publication date: 3 July 1995

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(94)00137-f

zbMATH Keywords

critical pointsperturbative expansionhomoclinic intersectionnearly integrable systemsMelnikov vectorlocal multivaluedness

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

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