Non-integrability of restricted double pendula

DOI10.1016/j.physleta.2015.09.052zbMath1364.37122arXiv1511.01850OpenAlexW2100571754MaRDI QIDQ2357335

Wojciech Szumiński, Tomasz Stachowiak

Publication date: 13 June 2017

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.01850

zbMATH Keywords

variational equationsnon-integrabilitydifferential Galois groupdouble pendulumMorales-Ramis theorychaotic Hamiltonian systems

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)

Related Items (3)

Complex dynamics of some Hamiltonian systems: nonintegrability of equations of motion ⋮ Dynamics and integrability analysis of two pendulums coupled by a spring ⋮ Integrability analysis of natural Hamiltonian systems in curved spaces

Cites Work

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• An algorithm for solving second order linear homogeneous differential equations
• Non-integrability of ABC flow
• A numerical analysis of chaos in the double pendulum
• Differential Galois theory and non-integrability of Hamiltonian systems
• Study of the double mathematical pendulum. I: Numerical investigation of homoclinic transversal intersections

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