First integrals for one-dimensional particle motion in a non-linear, time-dependent potential field

DOI10.1016/0020-7462(83)90022-7zbMath0545.70008OpenAlexW2057404247MaRDI QIDQ797319

Willy Sarlet

Publication date: 1983

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7462(83)90022-7

zbMATH Keywords

adiabatic invariantspolynomial nonlinearitiesconstruction of first integralsdetermination of all potentials which allow for first integral quadratic in velocity

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamics of a system of particles, including celestial mechanics (70F99)

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