Bifurcations of limit circles and center conditions for a class of non-analytic cubic \(Z_2\) polynomial differential systems
DOI10.1007/s10114-012-0454-zzbMath1269.34046OpenAlexW2461148636MaRDI QIDQ1928159
Feng Li, Yin Lai Jin, Yi-rong Liu
Publication date: 2 January 2013
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-012-0454-z
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)
Cites Work
- Unnamed Item
- Unnamed Item
- Center, limit cycles and isochronous center of a \(Z_{4}\)-equivariant quintic system
- REDUCE and the bifurcation of limit cycles
- Classification of the centers and isochronous centers for a class of quartic-like systems
- Classification of the centers, their cyclicity and isochronicity for a class of polynomial differential systems generalizing the linear systems with cubic homogeneous nonlinearities
- Classification of the centers, their cyclicity and isochronicity for the generalized quadratic polynomial differential systems
- Classification of the centers, of their cyclicity and isochronicity for two classes of generalized quintic polynomial differential systems
- The constrained solutions of two matrix equations
- Theory of center-focus for a class of higher-degree critical points and infinite points
- Small limit cycles bifurcating from fine focus points in cubic order \(Z_{2}\)-equivariant vector fields
- Small limit cycles bifurcating from fine focus points in quartic order \(Z_{3}\)-equivariant vector fields
- A cubic system with twelve small amplitude limit cycles
- Analysis on limit cycles of \(Z_{q}\)-equivariant polynomial vector fields with degree 3 or 4
- Bifurcations of the limit cycles in a \(z_3\)-equivariant quartic planar vector field
- HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS
- A STUDY ON THE EXISTENCE OF LIMIT CYCLES OF A PLANAR SYSTEM WITH THIRD-DEGREE POLYNOMIALS
- On hereditarily indecomposable Banach spaces
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