Numerical simulation and geometrical analysis on the onset of chaos in a system of two coupled pendulums

DOI10.1016/J.CNSNS.2012.06.026zbMath1294.70014OpenAlexW2039147790MaRDI QIDQ695219

Thi Phuc Tan Nguyen, Hoai Nguyen Huynh, Lock Yue Chew

Publication date: 20 December 2012

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2012.06.026

zbMATH Keywords

Poincaré sectioncurvature switchingHamiltonian manifold methodKAM island splittingpotential landscape

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Related Items (2)

Clean numerical simulation: a new strategy to obtain reliable solutions of chaotic dynamic systems ⋮ Dynamics and integrability analysis of two pendulums coupled by a spring

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