Integrability conditions for complex kukles systems

DOI10.1080/14689367.2016.1181715zbMath1383.34051OpenAlexW2340858215MaRDI QIDQ5278383

Claudia Valls, Jaume Giné

Publication date: 19 July 2017

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10459.1/62970

zbMATH Keywords

integrabilityLyapunov constantsBautin methodcomplex centre-focus problem

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items

Integrability Conditions for Complex Homogeneous Kukles Systems, Integrability conditions of a weak saddle in generalized Liénard-like complex polynomial differential systems

Uses Software

• SINGULAR
• primdec

Cites Work

• Kukles revisited: Advances in computing techniques
• Integrability conditions for Lotka-Volterra planar complex quintic systems
• Gröbner bases and primary decomposition of polynomial ideals
• Computing centre conditions for certain cubic systems
• Algebraic properties of the Lyapunov and period constants
• Normalizable, integrable, and linearizable saddle points for complex quadratic systems in \(\mathbb{C}^2\)
• Conditions for the existence of a center for the Kukles homogeneous systems
• Persistent centers of complex systems
• INTEGRABILITY AND BIFURCATIONS OF LIMIT CYCLES IN A CUBIC KOLMOGOROV SYSTEM
• On the conditions of Kukles for the existence of a Centre
• On the Paper of Jin and Wang Concerning the conditions for a Centre in certain Cubic Systems
• Linearizability conditions for Lotka–Volterra planar complex cubic systems