Nonoscillation of Elliptic Integrals Related to Cubic Polynomials with Symmetry of Order Three
From MaRDI portal
Publication:4265944
DOI10.1112/S0024609397004244zbMath0959.37039MaRDI QIDQ4265944
Publication date: 2 May 2001
Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)
Chebyshev systemzeros of Abelian integralszeros of elliptic integralscubic Hamiltoniansreal cubic polynomial
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)
Related Items
Two-dimensional Fuchsian systems and the Chebyshev property., ABELIAN INTEGRALS FOR THE ONE-PARAMETER BOGDANOV–TAKENS SYSTEM, Bifurcation of ten small-amplitude limit cycles by perturbing a quadratic Hamiltonian system with cubic polynomials, ON THE NUMBER OF ZEROS OF THE ABELIAN INTEGRALS FOR A CLASS OF PERTURBED LIÉNARD SYSTEMS, Zeros of Abelian integrals for the reversible codimension four quadratic centers \(Q_3^R\cap Q_4\), The Cyclicity of Period Annulus of Degenerate Quadratic Hamiltonian Systems with Polycycles S(2) or S(3) Under Perturbations of Piecewise Smooth Polynomials, HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS, On the number of zeros of abelian integrals for a kind of quartic Hamiltonians, THE ABELIAN INTEGRALS OF A ONE-PARAMETER HAMILTONIAN SYSTEM UNDER POLYNOMIAL PERTURBATIONS, Linear estimate on the number of zeros of Abelian integrals for quadratic centers having almost all their orbits formed by cubics, Complete hyperelliptic integrals of the first kind and their non-oscillation, Abelian integrals related to Morse polynomials and perturbations of plane Hamiltonian vector fields, Affine upper bounds for the number of zeros of abelian integrals for quartic elliptic Hamiltonians
