Study of the double mathematical pendulum. I: Numerical investigation of homoclinic transversal intersections

DOI10.1070/RD1999V004N01ABEH000102zbMath0999.70022MaRDI QIDQ5949866

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Publication date: 5 December 2001

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

zbMATH Keywords

phase portraitsHamiltonian systemnonintegrabilityPoincaré mapsymplectic manifoldPoincaré sectiondouble mathematical pendulumhomoclinic invariantshomoclinic transversal intersectionsperiodic hyperbolic trajectoriesseparatrix splitting

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Dynamical systems in classical and celestial mechanics (37N05) Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics (70K44) Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics (70H07)

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