An algorithmic approach to small limit cycles of nonlinear differential systems: The averaging method revisited-Reference-Cited by-同舟云学术

An algorithmic approach to small limit cycles of nonlinear differential systems: The averaging method revisited

Published:2020-09 Issue: Volume: Page:
ISSN:0747-7171
Container-title:Journal of Symbolic Computation
language:en
Short-container-title:Journal of Symbolic Computation

Author:

Huang Bo,Yap Chee

Funder

China Scholarship Council

NSF

Chinese Academy of Science (Beijing) President's International Fellowship Initiative

Beihang International Visiting Professor Program

Publisher

Elsevier BV

Subject

Computational Mathematics,Algebra and Number Theory

Reference61 articles.

1. Nondegenerate and nilpotent centers for a cubic system of differential equations;Algaba;Qual. Theory Dyn. Syst.,2019

2. On the number of limit cycles which appear with the variation of the coefficients from an equilibrium position of focus or center type;Bautin;Am. Math. Soc. Transl.,1954

3. Centers and limit cycles of polynomial differential systems of degree 4 via averaging theory;Benterki;J. Comput. Appl. Math.,2017

4. On the equivalence of the Melnikov functions method and the averaging method;Buicǎ;Qual. Theory Dyn. Syst.,2017

5. Persistence of periodic solutions for higher order perturbed differential systems via Lyapunov-Schmidt reduction;Candido;Nonlinearity,2017

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