On the number of limit cycles in double homoclinic bifurcations
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Publication:1609568
DOI10.1007/BF02879797zbMath1013.34026OpenAlexW2224899793MaRDI QIDQ1609568
Publication date: 15 August 2002
Published in: Science in China. Series A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02879797
Related Items (40)
On the number of limit cycles in small perturbations of a piecewise linear Hamiltonian system with a heteroclinic loop ⋮ The number and distributions of limit cycles for a class of cubic near-Hamiltonian systems ⋮ Bifurcations of limit cycles in a cubic system ⋮ Limit cycle bifurcations near a generalized homoclinic loop in piecewise smooth systems with a hyperbolic saddle on a switch line ⋮ Limit cycle bifurcations by perturbing a cuspidal loop in a Hamiltonian system ⋮ Bifurcation of limit cycles for a quartic near-Hamiltonian system by perturbing a nilpotent center ⋮ ON THE NUMBER AND DISTRIBUTION OF LIMIT CYCLES IN A CUBIC SYSTEM ⋮ Limit cycles near generalized homoclinic and double homoclinic loops in piecewise smooth systems ⋮ The loop quantities and bifurcations of homoclinic loops ⋮ The twisting bifurcations of double homoclinic loops with resonant eigenvalues ⋮ Limit cycles for the kukles system ⋮ Bifurcation of limit cycles by perturbing a piecewise linear Hamiltonian system with a homoclinic loop ⋮ The global bifurcation of a cubic system ⋮ Global bifurcation of a perturbed double-homoclinic loop ⋮ BIFURCATION OF LIMIT CYCLES IN A FOURTH-ORDER NEAR-HAMILTONIAN SYSTEM ⋮ Existence of periodic orbits and shift-invariant curve sequences near multiple homoclinics ⋮ ON THE NUMBER AND DISTRIBUTIONS OF LIMIT CYCLES IN A QUINTIC PLANAR VECTOR FIELD ⋮ Bifurcations of double homoclinic flip orbits with resonant eigenvalues ⋮ On the limit cycles of a quintic planar vector field ⋮ Bifurcations of limit cycles in a perturbed quintic Hamiltonian system with six double homoclinic loops ⋮ Bifurcations and distribution of limit cycles for near-Hamiltonian polynomial systems ⋮ The number and distributions of limit cycles for a class of quintic near-Hamiltonian systems ⋮ Codimension 3 nontwisted double homoclinic loops bifurcations with resonant eigenvalues ⋮ THE ABELIAN INTEGRALS OF A ONE-PARAMETER HAMILTONIAN SYSTEM UNDER CUBIC PERTURBATIONS ⋮ THE ABELIAN INTEGRALS OF A ONE-PARAMETER HAMILTONIAN SYSTEM UNDER POLYNOMIAL PERTURBATIONS ⋮ New configurations of 24 limit cycles in a quintic system ⋮ Bifurcations of limit cycles in a \(Z_{4}\)-equivariant quintic planar vector field ⋮ Codimension 2 bifurcation of twisted double homoclinic loops ⋮ Bifurcations of limit cycles for a cubic Hamiltonian system under quartic perturbations ⋮ Perturbation from a cubic Hamiltonian with three figure eight-loops ⋮ Bifurcations of limit cycles in a cubic system with cubic perturbations ⋮ Perturbation from an asymmetric cubic Hamiltonian ⋮ Codimension 2 bifurcations of double homoclinic loops ⋮ Bifurcations of the limit cycles in a \(z_3\)-equivariant quartic planar vector field ⋮ A New Type of Solitary Wave Solution of the mKdV Equation Under Singular Perturbations ⋮ LIMIT CYCLES FOR A CLASS OF QUINTIC NEAR-HAMILTONIAN SYSTEMS NEAR A NILPOTENT CENTER ⋮ Bifurcations in a Cubic System with a Degenerate Saddle Point ⋮ Codimension 2 reversible heteroclinic bifurcations with inclination flips ⋮ ON THE NUMBER AND DISTRIBUTIONS OF LIMIT CYCLES OF A PLANAR QUARTIC VECTOR FIELD ⋮ On the Limit Cycles of a Perturbed Z3-Equivariant Planar Quintic Vector Field
Cites Work
- Bifurcations of limit cycles from a heteroclinic cycle of Hamiltonian systems
- Cyclicity of planar homoclinic loops and quadratic integrable systems
- On the number of limit cycles which appear by perturbation of separatrix loop of planar vector fields
- Generalized Hopf Bifurcation and Its Dual Generalized Homoclinic Bifurcation
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