On the singularity analysis of intersecting separatrices in near- integrable dynamical systems

DOI10.1016/0167-2789(87)90081-9zbMath0613.70023OpenAlexW1976431015MaRDI QIDQ1819580

Tassos C. Bountis, Martin Bier, V. G. Papageorgiou

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0167-2789(87)90081-9

zbMATH Keywords

existencetwo degrees of freedomstrange attractorsPainlevé propertyinvariant manifoldslogarithmic singularitiesseparatricestransversal intersectionsinfinitely many Riemann sheetsmulti- valued solutionsnear- integrable Hamiltonian systemsseparatrix intersections

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Hamilton's equations (70H05) Singular perturbations for ordinary differential equations (34E15) Dynamical systems and ergodic theory (37-XX)

Related Items (5)

The singularity analysis for nearly integrable systems: homoclinic intersections and local multivaluedness ⋮ Investigating non-integrability and chaos in complex time ⋮ Vortex motion, sound radiation, and complex time singularities ⋮ Normal form solutions of dynamical systems in the basin of attraction of their fixed points ⋮ On the application of normal forms near attracting fixed points of dynamical systems

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• Ratio-Like and Recurrence Relation Tests for Convergence of Series
• Transversal Homoclinic Orbits in an Integrable System
• Necessary condition for the existence of algebraic first integrals

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