Zero-Hopf polynomial centers of third-order differential equations

DOI10.1007/s10884-016-9558-yzbMath1395.37033OpenAlexW2545806658MaRDI QIDQ1663167

Isaac A. García, Claudia Valls

Publication date: 21 August 2018

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10459.1/58381

zbMATH Keywords

Poincaré mapthree-dimensional vector fieldzero-Hopf singularitycontinua of periodic orbits

Mathematics Subject Classification ID

Bifurcations of singular points in dynamical systems (37G10) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Cites Work

• Unnamed Item
• First integrals of local analytic differential systems
• Limit cycles of differential equations
• The three-dimensional center problem for the zero-Hopf singularity
• Analytic integrable systems: analytic normalization and embedding flows
• Analytic normalization of analytic integrable systems and the embedding flows
• On the Paper of Jin and Wang Concerning the conditions for a Centre in certain Cubic Systems
• The Center and Cyclicity Problems
• The centres in the reduced Kukles system

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