Global bifurcations in a perturbed cubic system with \(Z_ 2\)-symmetry
From MaRDI portal
Publication:1210231
DOI10.1007/BF02006149zbMath0848.34021MaRDI QIDQ1210231
Publication date: 25 May 1993
Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)
limit cyclessingular cyclesglobal and local bifurcationsplanar cubic differential systemperturbed planar Hamiltonian vector fields
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Local and nonlocal bifurcation theory for dynamical systems (37G99)
Related Items
Simultaneity of centres in ℤ q -equivariant systems, New results on the study of \(Z_q\)-equivariant planar polynomial vector fields, Global bifurcation of a perturbed double-homoclinic loop, \(Z_{2}\)-equivariant cubic system which yields 13 limit cycles, Complex integrability and linearizability of cubic \(Z_2\)-equivariant systems with two \(1:q\) resonant singular points, ASYMPTOTIC EXPANSIONS OF MELNIKOV FUNCTIONS AND LIMIT CYCLE BIFURCATIONS, HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS, On the perturbations of a Hamiltonian system, On the study of limit cycles of a cubic polynomial system under \(\mathbb Z_{4}\)-equivariant quintic perturba\-tion, On the limit cycles of a Hamiltonian under \(Z_4\)-equivariant quintic perturbation, Global Phase Portraits of ℤ2-Symmetric Planar Polynomial Hamiltonian Systems of Degree Three with a Nilpotent Saddle at the Origin, THE SEPARATRIX VALUES OF A PLANAR HOMOCLINIC LOOP, Integrability and linearizability of cubic \(Z_2\) systems with non-resonant singular points
Cites Work