Linearizability of homogeneous quartic polynomial systems with \(1:-2\) resonance

DOI10.1016/j.jmaa.2012.06.013zbMath1259.34026OpenAlexW1965584955MaRDI QIDQ450993

Guangfeng Dong

Publication date: 26 September 2012

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.2012.06.013

zbMATH Keywords

polynomial systemlinearizabilityresonant saddle

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20)

Related Items (1)

Integrability and generalized center problem of resonant singular point

Cites Work

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• Linearizability conditions of time-reversible cubic systems
• The problem of center for resonant singular points of polynomial vector fields
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• Integrability and linearizability of the Lotka-Volterra systems.
• Linearizability conditions for a cubic system
• Linearizability of the polynomial differential systems with a resonant singular point
• Linearization of resonant vector fields
• The Center and Cyclicity Problems
• Linearizability of linear systems perturbed by fifth degree homogeneous polynomials
• Linearizability conditions for Lotka–Volterra planar complex cubic systems
• Nondegenerate linearizable centres of complex planar quadratic and symmetric cubic systems in \(\mathbb C^2\)

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