Number of location of limit cycles in a class of perturbed polynomial systems

DOI10.1007/s10255-004-0158-yzbMath1062.34031OpenAlexW2020538441MaRDI QIDQ1780334

Ruiqi Wang, Chen Xi Yang

Publication date: 7 June 2005

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-004-0158-y

zbMATH Keywords

limit cyclespolynomial systems

Mathematics Subject Classification ID

Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

Related Items (3)

The number of limit cycles of cubic Hamiltonian system with perturbation ⋮ BIFURCATION OF MULTIPLE LIMIT CYCLES FOR A ROTOR-ACTIVE MAGNETIC BEARINGS SYSTEM WITH TIME-VARYING STIFFNESS ⋮ The number of limit cycles of a quintic polynomial system with center

Uses Software

• Dynamics

Cites Work

• Bifurcations of limit cycles forming compound eyes in the cubic system
• A pure point spectrum of the stochastic one-dimensional Schrödinger operator
• Higher order bifurcations of limit cycles
• Dynamics: numerical explorations. Accompanying computer program Dynamics 2. Coauthored by Brian R. Hunt and Eric J. Kostelich. With 3 1/2 DOS Diskette.
• Cubic Liénard equations with quadratic damping. II.
• THE SAME DISTRIBUTION OF LIMIT CYCLES IN FIVE PERTURBED CUBIC HAMILTONIAN SYSTEMS
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