Limit cycles of a \(Z_3\)-equivariant near-Hamiltonian system
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Publication:1029426
DOI10.1016/j.na.2009.02.054zbMath1180.34031OpenAlexW1968300058MaRDI QIDQ1029426
Publication date: 10 July 2009
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2009.02.054
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)
Related Items (6)
Simultaneity of centres in ℤ q -equivariant systems ⋮ Limit Cycles for a Class of Zp-Equivariant Differential Systems ⋮ Simultaneous bifurcation of limit cycles from a cubic piecewise center with two period annuli ⋮ Bifurcations of limit cycles in equivariant quintic planar vector fields ⋮ ASYMPTOTIC EXPANSIONS OF MELNIKOV FUNCTIONS AND LIMIT CYCLE BIFURCATIONS ⋮ Bifurcation of limit cycles from a heteroclinic loop with a cusp
Cites Work
- Unnamed Item
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- Limit cycles near homoclinic and heteroclinic loops
- Bifurcation of limit cycles near equivariant compound cycles
- Twelve limit cycles in a cubic order planar system with \(Z_2\) symmetry
- Small limit cycles bifurcating from fine focus points in cubic order \(Z_{2}\)-equivariant vector fields
- On the study of limit cycles of a cubic polynomial system under \(\mathbb Z_{4}\)-equivariant quintic perturba\-tion
- Small limit cycles bifurcating from fine focus points in quartic order \(Z_{3}\)-equivariant vector fields
- Analysis on limit cycles of \(Z_{q}\)-equivariant polynomial vector fields with degree 3 or 4
- Centennial History of Hilbert's 16th Problem
- HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS
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