On a computer-aided approach to the computation of Abelian integrals

• An accurate method to compute enclosures of Abelian integrals is developed. This allows for an accurate description of the phase portraits of planar polynomial systems that are perturbations of Hamiltonian systems. As an example, it is applied to the study of bifurcations of limit cycles arising from a cubic perturbation of an elliptic Hamiltonian of degree four.

Subject headings

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

NATURVETENSKAP  -- Matematik -- Beräkningsmatematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Computational Mathematics (hsv//eng)

Keyword

Abelian integrals

limit cycles

bifurcation theory

planar Hamiltonian systems

interval analysis

Mathematical analysis

Analys

Mathematics

Matematik

MATHEMATICS

Publication and Content Type

ref (subject category)

art (subject category)