On the double pendulum: An example of double resonant situations

DOI10.3934/dcds.2004.11.413zbMath1056.37079OpenAlexW2090292715MaRDI QIDQ1884228

Antonio Pumariño, Claudia Valls

Publication date: 27 October 2004

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2004.11.413

zbMATH Keywords

invariant manifoldsHamiltonian systemsMelnikov functionperiodic perturbationssplitting of separatricesdouble resonances

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Averaging method for ordinary differential equations (34C29) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Bifurcations connected with nontransversal intersection in dynamical systems (37G25)

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