Bifurcations in a Cubic System with a Degenerate Saddle Point
DOI10.1142/S0218127414501442zbMath1304.34025OpenAlexW2064337366MaRDI QIDQ5496773
Publication date: 28 January 2015
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127414501442
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34) Bifurcation theory for ordinary differential equations (34C23) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
Related Items (1)
Cites Work
- Bifurcations of a cubic system perturbed by degree five
- Bifurcation of limit cycles for a quartic near-Hamiltonian system by perturbing a nilpotent center
- Melnikov function and limit cycle bifurcation from a nilpotent center
- On Melnikov functions of a homoclinic loop through a nilpotent saddle for planar near-Hamiltonian systems
- On the number of limit cycles of a \(Z_{4}\)-equivariant quintic polynomial system
- A cubic system with thirteen limit cycles
- Cyclicity of planar homoclinic loops and quadratic integrable systems
- Mathematical problems for the next century
- On the number of limit cycles in double homoclinic bifurcations
- Perturbation from a cubic Hamiltonian with three figure eight-loops
- On the stability of double homoclinic and heteroclinic cycles.
- Bifurcations of limit cycles in a cubic system
- LIMIT CYCLES FOR A CLASS OF QUINTIC NEAR-HAMILTONIAN SYSTEMS NEAR A NILPOTENT CENTER
- BIFURCATION OF LIMIT CYCLES IN A FOURTH-ORDER NEAR-HAMILTONIAN SYSTEM
- Bifurcations of cuspidal loops
- HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS
- LIMIT CYCLE BIFURCATIONS IN NEAR-HAMILTONIAN SYSTEMS BY PERTURBING A NILPOTENT CENTER
- On hereditarily indecomposable Banach spaces
This page was built for publication: Bifurcations in a Cubic System with a Degenerate Saddle Point
