Periodic orbits for a class \(C^1\) three-dimensional systems

DOI10.1007/BF03031432zbMath1150.34015OpenAlexW1966874533MaRDI QIDQ997550

Marco Antonio Teixeira, Antoni Ferragut, Jaume Llibre

Publication date: 7 August 2007

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03031432

zbMATH Keywords

involutionpolynomial vector fieldPeriodic orbitreversible vector fieldsymmetric orbit

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Symmetries, invariants of ordinary differential equations (34C14) Degree theory for nonlinear operators (47H11) Averaging method for ordinary differential equations (34C29)

Related Items (1)

POLYNOMIAL VECTOR FIELDS IN ℝ³ WITH INFINITELY MANY LIMIT CYCLES

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Proof of the Poincaré-Birkhoff fixed point theorem
• Periodic orbits for a class of reversible quadratic vector field on \(\mathbb R^{3}\)
• Recurrence and fixed points of surface homeomorphisms
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem

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