A hybrid symbolic-numerical approach to the center-focus problem

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2-s2.0-85013224894.pdf (456.85 KB)

2-s2.0-85013224894.pdf

External sources

http://dx.doi.org/10.1016/j.jsc.2016.11.019

External sources

http://dx.doi.org/10.1016/j.jsc.2016.11.019

Date

Authors

Pessoa, Claudio

Hauenstein, Jonathan D.

Type

Article

Access right

Acesso aberto

Files

2-s2.0-85013224894.pdf (456.85 KB)

2-s2.0-85013224894.pdf

External sources

http://dx.doi.org/10.1016/j.jsc.2016.11.019

External sources

http://dx.doi.org/10.1016/j.jsc.2016.11.019

Abstract

We propose a new hybrid symbolic-numerical approach to the center-focus problem. The method allowed us to obtain center conditions for a three-dimensional system of differential equations, which was previously not possible using traditional, purely symbolic computational techniques.

Keywords

Center manifold , Center-focus problem , First integral , Numerical algebraic geometry

Language

English

Citation

Journal of Symbolic Computation, v. 82, p. 57-73.

URI

http://hdl.handle.net/11449/174247

Sponsors

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Collections

São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas

Units

Unit

Instituto de Biociências, Letras e Ciências Exatas

IBILCE

Campus: São José do Rio Preto

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