Approximate general solution of 2-degrees of freedom dynamical systems using `les solutions precieuses'

DOI10.1023/A:1026327331113zbMath1062.85003MaRDI QIDQ702130

C. L. Goudas, K. E. Papadakis, E. P. Valaris

Publication date: 17 January 2005

Published in: Astrophysics and Space Science (Search for Journal in Brave)

zbMATH Keywords

stabilityperiodic solutionschaosequilibrium pointsnumerical integrationorder`third integrals'approximate general solutionaxi-symmetric potentialDynamical systemperiodic family curvesPoincaré surface of sectionsstable/unstable periodic family arcszooming into space of solution

Mathematics Subject Classification ID

Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Galactic and stellar dynamics (85A05)

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