On the non-existence of a supplementary integral in the problem of a heavy two-link plane pendulum

DOI10.1016/0021-8928(86)90070-5zbMath0626.70006OpenAlexW1998065913MaRDI QIDQ581002

Alexander A. Burov

Publication date: 1986

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(86)90070-5

zbMATH Keywords

periodic solutionsenergy integralanalytic supplementary first integralheavy two-link plane pendulummethod of splitting the separatricesphase variablePoincaré's theorem

Mathematics Subject Classification ID

Hamilton's equations (70H05) Kinematics of mechanisms and robots (70B15) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Motion of the gyroscope (70E05)

Related Items

Lagrangian reduction and the double spherical pendulum

Cites Work

• On the integrability of the Hamilton-Jacobi equation in generalized coordinates
• Linear integrals of a holonomic mechanical system
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