New Advances on the Lyapunov Constants of Some Families of Planar Differential Systems

DOI10.1007/978-3-030-25261-8_25zbMath1447.34033OpenAlexW2971689551MaRDI QIDQ5115123

Iván Sánchez-Sánchez, Joan Torregrosa

Publication date: 29 June 2020

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/221322

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Computational methods for bifurcation problems in dynamical systems (37M20)

Related Items (1)

Local cyclicity in low degree planar piecewise polynomial vector fields

Uses Software

• PARI/GP
• GitHub

Cites Work

• Unnamed Item
• A method of constructing cycles without contact around a weak focus
• The center conditions for a Liénard system
• Qualitative theory of planar differential systems
• The Center and Cyclicity Problems
• An Analytic-Numerical Method for Computation of the Liapunov and Period Constants Derived from Their Algebraic Structure

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