Autonomous systems, dynamical systems, LPTI symmetries, topology of trajectories, and periodic solutions

DOI10.1007/BF00674404zbMath0764.34040MaRDI QIDQ1209246

Giuseppe Gaeta

Publication date: 16 May 1993

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Ordinary differential equations and systems on manifolds (34C40) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (1)

Asymptotic symmetry and asymptotic solutions to Ito stochastic differential equations

Cites Work

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• Group theoretic methods in bifurcation theory. With an appendix by P. Olver
• On the global structure of period doubling flows
• Singularities and groups in bifurcation theory. Volume II
• Limit cycles as invariant functions of Lie groups
• A nonlinear version of the equivalent bifurcation lemma
• Periodic solutions from symmetry
• Hopf bifurcation in the presence of symmetry
• Symmetries and differential equations

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