Limit Cycles of a Perturbation of a Polynomial Hamiltonian Systems of Degree 4 Symmetric with Respect to the Origin
DOI10.4153/S0008439519000626zbMath1451.34033OpenAlexW2980338188MaRDI QIDQ5118444
Claudio Vidal, Paulina Martínez, Jaume Llibre
Publication date: 8 September 2020
Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4153/s0008439519000626
Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)
Cites Work
- Unnamed Item
- Unnamed Item
- Limit cycles of generalized Liénard polynomial differential systems via averaging theory
- Limit cycles for continuous and discontinuous perturbations of uniform isochronous cubic centers
- New families of periodic orbits for a galactic potential
- Zero-Hopf bifurcation in the generalized Michelson system
- Averaging methods for finding periodic orbits via Brouwer degree.
- Linear type centers of polynomial Hamiltonian systems with nonlinearities of degree 4 symmetric with respect to the \(\mathrm{y}\)-axis
- A new result on averaging theory for a class of discontinuous planar differential systems with applications
- Upper estimates for the number of periodic solutions to multi-dimensional systems
- A characterization of isochronous centres in terms of symmetries.
- Averaging theory at any order for computing periodic orbits
- Hamiltonian linear type centers of linear plus cubic homogeneous polynomial vector fields
- Corrigendum: Higher order averaging theory for finding periodic solutions via Brouwer degree (2014 Nonlinearity 27 563)
- Fixed point theory and nonlinear problems
- Multiple limit cycles in a Leslie–Gower-type predator–prey model considering weak Allee effect on prey
- ON THE MAXIMUM NUMBER OF PERIODIC SOLUTIONS OF PIECEWISE SMOOTH PERIODIC EQUATIONS BY AVERAGE METHOD
- A note on the periodic solutions of a Mathieu–Duffing type equations
- Higher order averaging theory for finding periodic solutions via Brouwer degree
- Averaging methods in nonlinear dynamical systems
This page was built for publication: Limit Cycles of a Perturbation of a Polynomial Hamiltonian Systems of Degree 4 Symmetric with Respect to the Origin