Limit Cycles of a Perturbation of a Polynomial Hamiltonian Systems of Degree 4 Symmetric with Respect to the Origin. Issue 3 (18th September 2020)

• Record Type: Journal Article
• Authors: Llibre, Jaume; Martínez, Paulina; Vidal, Claudio
• Is Part Of: Canadian mathematical bulletin =. Volume 63:Issue 3(2020)
• Page Start: 547
• Page End: 561
• Publication Date: 2020-09-18
• Subjects: 34C07, -- 34C08; Hamiltonian system, -- linear type center, -- quartic polynomial, -- polynomial vector field, -- phase portrait; Mathematics -- Periodicals; Mathematics; Periodicals; 510.5
• DOI: 10.4153/S0008439519000626
• Languages: English
• ISSNs: 0008-4395

Abstract

Abstract: We study the number of limit cycles bifurcating from the origin of a Hamiltonian system of degree 4. We prove, using the averaging theory of order 7, that there are quartic polynomial systems close these Hamiltonian systems having 3 limit cycles.