Twelve limit cycles in a cubic order planar system with \(Z_2\) symmetry

From MaRDI portal
Publication:1766160

DOI10.3934/cpaa.2004.3.515zbMath1085.34028OpenAlexW2039576666MaRDI QIDQ1766160

Pei Yu, Mao'an Han

Publication date: 28 February 2005

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2004.3.515




Related Items (38)

LOCAL AND GLOBAL BIFURCATIONS TO LIMIT CYCLES IN A CLASS OF LIÉNARD EQUATIONHOPF BIFURCATIONS FOR NEAR-HAMILTONIAN SYSTEMSSmall amplitude limit cycles of symmetric cubic systemsBi-center problem for some classes of \(\mathbb{Z}_2\)-equivariant systemsNew results on the study of \(Z_q\)-equivariant planar polynomial vector fieldsOn the number of limit cycles of a \(\mathbb{Z}_4\)-equivariant quintic near-Hamiltonian systemBi-center conditions and local bifurcation of critical periods in a switching \(Z_2\) equivariant cubic systemCenter and isochronous center conditions for switching systems associated with elementary singular pointsBifurcation set and number of limit cycles in \(Z_{2}\)-equivariant planar vector fields of degree 5Limit Cycle Bifurcations from an Order-3 Nilpotent Center of Cubic Hamiltonian Systems Perturbed by Cubic PolynomialsLimit cycle bifurcations in a class of quintic \(Z_2\)-equivariant polynomial systemsTHE CENTER-FOCUS PROBLEM AND BIFURCATION OF LIMIT CYCLES IN A CLASS OF 7TH-DEGREE POLYNOMIAL SYSTEMSBIFURCATION OF LIMIT CYCLES IN A FOURTH-ORDER NEAR-HAMILTONIAN SYSTEMBIFURCATION OF MULTIPLE LIMIT CYCLES FOR A ROTOR-ACTIVE MAGNETIC BEARINGS SYSTEM WITH TIME-VARYING STIFFNESSComplete study on a bi-center problem for the \(Z_2\)-equivariant cubic vector fields\(Z_{2}\)-equivariant cubic system which yields 13 limit cyclesLower bounds for the Hilbert number of polynomial systemsOn the zeros of the Abelian integrals for a class of Liénard systemsLimit cycles in generalized Liénard systemsComplex integrability and linearizability of cubic \(Z_2\)-equivariant systems with two \(1:q\) resonant singular pointsOn the bifurcation of double homoclinic loops of a cubic systemOn limit cycles of the Liénard equation with \(Z_2\) symmetryBIFURCATION OF LIMIT CYCLES IN Z10-EQUIVARIANT VECTOR FIELDS OF DEGREE 9Bifurcation of limit cycles in a quintic Hamiltonian system under a sixth-order perturbationCRITICAL PERIODS OF THIRD-ORDER PLANAR HAMILTONIAN SYSTEMSInvestigation of relation between singular points and number of limit cycles for a rotor-ambs systemSymbolic computation of limit cycles associated with Hilbert's 16th problemEXISTENCE CONDITIONS OF THIRTEEN LIMIT CYCLES IN A CUBIC SYSTEMAbelian integrals and limit cyclesCoexistence of small and large amplitude limit cycles of polynomial differential systems of degree fourLIMIT CYCLES AND CENTERS IN A CUBIC PLANAR SYSTEMCRITICAL PERIODS OF PLANAR REVERTIBLE VECTOR FIELD WITH THIRD-DEGREE POLYNOMIAL FUNCTIONSLimit cycles of a \(Z_3\)-equivariant near-Hamiltonian systemBIFURCATIONS OF LIMIT CYCLES IN A Z2-EQUIVARIANT PLANAR POLYNOMIAL VECTOR FIELD OF DEGREE 7Integrability and linearizability of cubic \(Z_2\) systems with non-resonant singular pointsLIMIT CYCLE BIFURCATIONS FROM CENTERS OF SYMMETRIC HAMILTONIAN SYSTEMS PERTURBED BY CUBIC POLYNOMIALSEIGHT LIMIT CYCLES AROUND A CENTER IN QUADRATIC HAMILTONIAN SYSTEM WITH THIRD-ORDER PERTURBATIONOn the Limit Cycles of a Perturbed Z3-Equivariant Planar Quintic Vector Field






This page was built for publication: Twelve limit cycles in a cubic order planar system with \(Z_2\) symmetry