A method for continuing families of periodic solutions of Lagrangian systems

DOI10.1016/0021-8928(89)90125-1zbMath0728.70018OpenAlexW2085192551MaRDI QIDQ805318

S. R. Karimov, Andrej G. Sokolsky

Publication date: 1989

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(89)90125-1

zbMATH Keywords

predictor-corrector methodfamily of periodic solutionsautonomous multidimensional Lagrangian systemLyapunov periodic motionsnon-isolated periodic solutionsretrograde solutions

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Lagrange's equations (70H03)

Cites Work

• The dependence of the solutions of the equations of motion of mechanical systems on a large parameter
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