Global behavior of limit cycles in rotated vector fields

DOI10.1006/jdeq.1998.3508zbMath0930.34017OpenAlexW2055596580MaRDI QIDQ1283978

Mao'an Han

Publication date: 31 January 2000

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

Full work available at URL: https://doi.org/10.1006/jdeq.1998.3508

zbMATH Keywords

limit cyclesrotated vector fields

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

Related Items (10)

The codimension-two bifurcation for the recent proposed SD oscillator ⋮ Theory of rotated equations and applications to a population model ⋮ Global studies on a continuous planar piecewise linear differential system with three zones ⋮ Bifurcation diagram and global phase portraits of a family of quadratic vector fields in class \(I\) ⋮ A Quintic \(\boldsymbol{\mathbb{Z}_2}\)-Equivariant Liénard System Arising from the Complex Ginzburg–Landau Equation ⋮ Global bifurcations of a rotating pendulum with irrational nonlinearity ⋮ Global dynamics of a Wilson polynomial Liénard equation ⋮ Unnamed Item ⋮ Existence of periodic solutions of a neuronic equation ⋮ Multiple bifurcations of a cylindrical dynamical system

Cites Work

• Rotated vector fields
• Rotated vector fields and the global behavior of limit cycles for a class of quadratic systems in the plane
• Limit-cycles and rotated vector fields
• On the number of limit cycles which appear by perturbation of separatrix loop of planar vector fields
• Global Families of Limit Cycles of Planar Analytic Systems
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