The centres in the reduced Kukles system
From MaRDI portal
Publication:4844725
DOI10.1088/0951-7715/8/4/005zbMath0830.34025OpenAlexW2029560765MaRDI QIDQ4844725
Pierre Thibaudeau, Dana Schlomiuk, Christiane Rousseau
Publication date: 22 October 1995
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0951-7715/8/4/005
Gröbner basisbifurcation diagramMAPLEfirst integralPoincaré-Lyapunov constantscentrereduced Kukles systems
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Local and nonlocal bifurcation theory for dynamical systems (37G99)
Related Items (15)
Global bifurcations of limit and separatrix cycles in a generalized Liénard system ⋮ On the limit cycles of a class of Kukles type differential systems ⋮ Zero-Hopf polynomial centers of third-order differential equations ⋮ Limit cycles in a disease transmission model ⋮ Symmetric centers on planar cubic differential systems ⋮ Limit cycles for the kukles system ⋮ Kukles revisited: Advances in computing techniques ⋮ On the equivalence of singular point quantities and the integrability of a fine critical singular point ⋮ On the period function of \(x^{\prime\prime}+f(x)x^{\prime2}+g(x)=0\) ⋮ Unnamed Item ⋮ A class of cubic systems with two centers or two foci ⋮ On the limit cycles of a class of generalized Kukles polynomial differential systems via averaging theory ⋮ Global Phase Portraits for a Planar ℤ2-Equivariant Kukles Systems of Degree 3 ⋮ Symmetry in planar dynamical systems ⋮ Conditions for the existence of a center for the Kukles homogeneous systems
Uses Software
This page was built for publication: The centres in the reduced Kukles system
