Bifurcation set and number of limit cycles in \(Z_{2}\)-equivariant planar vector fields of degree 5
DOI10.1016/j.amc.2011.10.059zbMath1243.37043OpenAlexW1997973412MaRDI QIDQ426506
S. F. Miao, Yongge Tian, Wei Zhang, Jing Li, Min Sun
Publication date: 11 June 2012
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2011.10.059
bifurcation set\(Z_{2}\)-equivariant polynomial Hamiltonian systemmethod of detection functionmultiple limit cyclesvector fields of degree 5
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) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)
Related Items (1)
Cites Work
- Investigation of relation between singular points and number of limit cycles for a rotor-ambs system
- Twelve limit cycles in a cubic order planar system with \(Z_2\) symmetry
- Computation of Lyapunov values for two planar polynomial differential systems
- Analysis on bifurcations of multiple limit cycles for a parametrically and externally excited mechanical system
- Bifurcations of limit cycles in a \(Z_6\)-equivariant planar vector field of degree 5
- CENTER PROBLEM AND MULTIPLE HOPF BIFURCATION FOR THE Z5-EQUIVARIANT PLANAR POLYNOMIAL VECTOR FIELDS OF DEGREE 5
- LIMIT CYCLES IN TWO TYPES OF SYMMETRIC LIÉNARD SYSTEMS
- BIFURCATION OF MULTIPLE LIMIT CYCLES FOR A ROTOR-ACTIVE MAGNETIC BEARINGS SYSTEM WITH TIME-VARYING STIFFNESS
- HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS
- ON THE CONTROL OF PARAMETERS OF DISTRIBUTIONS OF LIMIT CYCLES FOR A Z2-EQUIVARIANT PERTURBED PLANAR HAMILTONIAN POLYNOMIAL VECTOR FIELD
- INVESTIGATIONS OF BIFURCATIONS OF LIMIT CYCLES IN Z2-EQUIVARIANT PLANAR VECTOR FIELDS OF DEGREE 5
This page was built for publication: Bifurcation set and number of limit cycles in \(Z_{2}\)-equivariant planar vector fields of degree 5