Linearizability conditions of time-reversible cubic systems

DOI10.1016/j.jmaa.2009.09.013zbMath1192.34037OpenAlexW2077765750MaRDI QIDQ1043521

Xingwu Chen, Valery G. Romanovski

Publication date: 9 December 2009

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.2009.09.013

zbMATH Keywords

isochronous centerpolynomial systemlinearizabilitytime-reversibility

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)

Related Items

Solution of center-focus problem for a class of cubic systems ⋮ Isochronicity conditions for some planar polynomial systems. II. ⋮ The center conditions and local bifurcation of critical periods for a Liénard system ⋮ The cyclicity of the period annulus of the cubic isochronous center ⋮ Linearizability of homogeneous quartic polynomial systems with \(1:-2\) resonance ⋮ The problem of bicenter and isochronicity for a class of quasi symmetric planar systems ⋮ Complexity reduction of C-algorithm ⋮ Strong isochronism of two-dimensional reversible cubic systems ⋮ Linearizability conditions of a time-reversible quartic-like system ⋮ Non-isochronicity of the center in polynomial Hamiltonian systems ⋮ New lower bounds of the number of critical periods in reversible centers ⋮ Integrability of Lotka–Volterra Planar Complex Cubic Systems ⋮ LINEAR CENTERS WITH PERTURBATIONS OF DEGREE 2d + 5

Uses Software

• SINGULAR

Cites Work

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