Search for regular orbits in the x2y2potential problem

DOI10.1088/0305-4470/25/21/014zbMath0764.34021OpenAlexW1986258372MaRDI QIDQ4033655

J. M. Dixon, M. L. A. Nip, M. Otwinowski, Jack A. Tuszyński

Publication date: 16 May 1993

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/25/21/014

zbMATH Keywords

Hamiltoniansecond-order ordinary differential equationsperturbation analysispotential problemregular orbitsmotion of a particlenumerical investigationdoubly periodic solutions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Free motions for nonlinear problems in mechanics (70K25) Numerical analysis in abstract spaces (65J99)

Related Items (1)

On reversibility in systems with a non-compact configuration space and non-negative potential energy

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