Numerical investigation of symmetric and asymmetric periodic oscillations

DOI10.1007/BF00654021zbMath0507.70025MaRDI QIDQ1837550

P. G. Kazantzis

Publication date: 1981

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

zbMATH Keywords

bifurcategravitational spring-pendulumnon-integrable dynamical systemsfamilies of asymmetric solutionsfamilies of symmetric 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) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Nonlinear dynamics in mechanics (70K99) Numerical methods for ordinary differential equations (65L99)

Cites Work

• Numerical extrapolation of periodic solutions
• Numerical treatment of non-integrable dynamical systems

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