A new first integral corresponding to Lyapunov's function for a pendulum of variable length

DOI10.1007/BF01590677zbMath0286.70009OpenAlexW1995955072MaRDI QIDQ1845622

Djordje S. Djukic

Publication date: 1974

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01590677

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Stability for problems in linear vibration theory (70J25) Free motions in linear vibration theory (70J30)

Related Items (2)

Noether's theory in classical nonconservative mechanics ⋮ Conservation laws for dynamical systems in Poincaré-Cetaev variables

Cites Work

• A procedure for finding first integrals of mechanical systems with gauge- variant Lagrangians
• On the stability of solutions of a non-linear, non-autonomous equation
• A group-variational procedure for finding first integrals of dynamical systems
• Die Umkehrung der Stabilitätssätze von Lagrange-Dirichlet und Routh. (The inversion of the stability theorems of Lagrange-Dirichlet and Routh.)
• Matrix method for the Liapunov stability analysis of cyclic discrete mechanical systems

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