Orbitally symmetric systems with applications to planar centers

DOI10.3934/cpaa.2021107zbMath1493.34120OpenAlexW3174351880MaRDI QIDQ2054160

Joan Torregrosa, Jéfferson L. R. Bastos, Claudio A. Buzzi

Publication date: 1 December 2021

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2021107

zbMATH Keywords

symmetrylimit cyclesequivariancereversibilityinvolutioncenterslocal cyclicity

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) Symmetries, invariants of ordinary differential equations (34C14) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• First integrals of local analytic differential systems
• Higher order limit cycle bifurcations from non-degenerate centers
• Integrability of dynamical systems: algebra and analysis
• The reversibility and the center problem
• One class of planar rational involutions
• Generalized involutive symmetry and its application in integrability of differential systems
• Bifurcation of limit cycles from quadratic isochrones
• Lower bounds for the local cyclicity for families of centers
• Limit cycles of differential equations
• On general algebraic mechanisms for producing centers in polynomial differential systems
• Time-reversal symmetry in dynamical systems: a survey
• The classification of reversible cubic systems with center
• Singularities of reversible vector fields
• Remarks on ``The classification of reversible cubic systems with center
• Bifurcation of planar vector fields and Hilbert's sixteenth problem
• Polynomial automorphisms and the Jacobian conjecture
• On the Darboux integrability of polynomial differential systems
• Reversible equivariant linear systems
• Lower bounds for the local cyclicity of centers using high order developments and parallelization
• Quasi-homogeneous linearization of degenerate vector fields
• Experimental results for the Poincaré center problem
• The Center and Cyclicity Problems
• Bifurcation of Critical Periods for Plane Vector Fields
• Reversible Diffeomorphisms and Flows
• Center conditions: Pull-back of differential equations

This page was built for publication: Orbitally symmetric systems with applications to planar centers