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Abelian integrals and limit cycles

Published:2006-08 Issue:1 Volume:227 Page:116-165
ISSN:0022-0396
Container-title:Journal of Differential Equations
language:en
Short-container-title:Journal of Differential Equations

Author:

Dumortier Freddy,Roussarie Robert

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference14 articles.

1. Some unsolved problems in the theory of differential equations and mathematical physics;Arnold;Russian Math. Surveys,1989

2. Singularities of Differentiable Maps, vol. 2;Arnold,1985

3. Calcul Infinitésimal;Dieudonné,1980

4. Hopf–Takens bifurcations and centres;Caubergh;J. Differential Equations,2004

5. Elementary graphics of cyclicity 1 and 2;Dumortier;Nonlinearity,1994

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1. NUMBER OF LIMIT CYCLES OF A CASE OF POLYNOMIAL SYSTEM VIA THE STABILITY-CHANGING METHOD;Journal of Applied Analysis & Computation;2024

2. Estimating the Number of Zeros of Abelian Integrals for the Perturbed Cubic Z4-Equivariant Planar Hamiltonian System;International Journal of Bifurcation and Chaos;2023-06-15

3. The monotonicity of the ratio of two hyperelliptic Abelian integrals for a class of symmetric potential systems of degree eight;Bulletin des Sciences Mathématiques;2022-05

4. First-order perturbation for multi-parameter center families;Journal of Differential Equations;2022-02

5. Limit cycles appearing from a generalized heteroclinic loop with a cusp and a nilpotent saddle;Journal of Differential Equations;2021-12

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