Periodic solutions of second-order differential equations with two-dimensional Lie point symmetry algebra

DOI10.1016/j.nonrwa.2010.04.002zbMath1206.34052OpenAlexW2042294936MaRDI QIDQ708577

Isaac A. García, Susanna Maza, Jaume Giné

Publication date: 14 October 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2010.04.002

zbMATH Keywords

periodic solutionslimit cyclesplanar vector fieldsLie point symmetriessecond order equations

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Symmetries, invariants of ordinary differential equations (34C14)

Related Items (3)

A survey on the inverse integrating factor ⋮ Non-autonomous inverse Jacobi multipliers and periodic orbits of planar vector fields ⋮ Inverse Jacobi Multipliers: Recent Applications in Dynamical Systems

Cites Work

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• On the stability of limit cycles for planar differential systems
• Invariant algebraic curves for the cubic Liénard system with linear damping
• Integral invariants and limit sets of planar vector fields
• On Lie's symmetries for planar polynomial differential systems
• Lie point-symmetries and Poincare normal forms for dynamical systems
• On the nonexistence, existence and uniqueness of limit cycles
• Algebraic invariant curves for the Liénard equation
• Poincare normal forms and Lie point symmetries
• Symmetry-based algorithms to relate partial differential equations: II. Linearization by nonlocal symmetries
• Lie algebras associated with scalar second-order ordinary differential equations
• Isochronicity via normal form
• On the vanishing set of inverse integrating factors

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