Linearizability conditions of a time-reversible quartic-like system

DOI10.1016/j.jmaa.2011.05.018zbMath1226.34041OpenAlexW2089928798MaRDI QIDQ549842

Valery G. Romanovski, Xingwu Chen, Wen-tao Huang, Wei Nian Zhang

Publication date: 18 July 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.05.018

zbMATH Keywords

isochronous centercentertime-reversiblelinearizabilityquartic-like system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14)

Related Items (9)

Bi-center problem for some classes of \(\mathbb{Z}_2\)-equivariant systems ⋮ Isochronicity of a \(\mathbb{Z}_2\)-equivariant quintic system ⋮ Computing center conditions for non-analytic ninth degree vector fields with constant angular speed ⋮ Integrability and pseudo-linearizable conditions in a quasi-analytic system ⋮ Computing center conditions for non-analytic vector fields with constant angular speed ⋮ Centers and isochronous centers for generalized quintic systems ⋮ Isochronicity and linearizability of a planar cubic system ⋮ Linearizability and critical period bifurcations of a generalized Riccati system ⋮ Isochronicity of bi-centers for symmetric quartic differential systems

Uses Software

• SINGULAR
• primdec

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Time-reversible deterministic thermostats
• Classification of the centers and isochronous centers for a class of quartic-like systems
• Linearizability conditions of time-reversible quartic systems having homogeneous nonlinearities
• Time-reversal symmetry in dynamical systems: a survey
• Time-reversible and equivariant pitchfork bifurcation
• Reversible systems with first integrals
• Time reversibility in nonequilibrium thermomechanics
• On symmetric attractors in reversible dynamical systems
• Classification of the centers, their cyclicity and isochronicity for a class of polynomial differential systems generalizing the linear systems with cubic homogeneous nonlinearities
• Classification of the centers, their cyclicity and isochronicity for the generalized quadratic polynomial differential systems
• Linearizability conditions of time-reversible cubic systems
• Theory of values of singular point in complex autonomous differential systems
• Isochronous centers of a linear center perturbed by fourth degree homogeneous polynomial
• A new method to determine isochronous center conditions for polynomial differential systems.
• Normalizable, integrable, and linearizable saddle points for complex quadratic systems in \(\mathbb{C}^2\)
• Linearization of isochronous centers
• The Center and Cyclicity Problems
• Time-Reversibility in 2-Dimensional Systems
• Linearizability of linear systems perturbed by fifth degree homogeneous polynomials
• Nondegenerate linearizable centres of complex planar quadratic and symmetric cubic systems in \(\mathbb C^2\)

This page was built for publication: Linearizability conditions of a time-reversible quartic-like system