Monotonicity of the ratios of two abelian integrals for Hamiltonian systems with parameters

Perturbations of ordinary differential equations (34D10) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

Cites Work

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The monotonicity of the ratio of hyperelliptic integrals
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MONOTONICITY OF THE RATIO OF TWO ABELIAN INTEGRALS FOR A CLASS OF SYMMETRIC HYPERELLIPTIC HAMILTONIAN SYSTEMS
Perturbations from an elliptic Hamiltonian of degree four. II: Cuspidal loop
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