Kukles Systems of Degree Three with Global Centers

Author:

Dias Fabio ScalcoORCID,Mello Luis Fernando,Valls Claudia

Funder

Fundação de Amparo à Pesquisa do Estado de Minas Gerais

Fundação de Amparo à Pesquisa do Estado de São Paulo

Conselho Nacional de Desenvolvimento Científico e Tecnológico

CAMGSD IST-ID

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference13 articles.

1. Christopher, C.J., Lloyd, N.G.: On the paper of Jin and Wang concerning the conditions for a centre in certain cubic systems. Bull. Lond. Math. Soc. 22, 5–12 (1990)

2. Cima, A., Llibre, J.: Algebraic and topological classification of the homogeneous cubic vector fields in the plane. J. Math. Anal. Appl. 147, 420–448 (1990)

3. Conti, R.: Centers of planar polynomial systems: A review. Matematiche 53, 207–240 (1998)

4. Dias, F.S., Mello, L.F.: Globally asymptotically stable equilibrium points in Kukles systems. Qual. Theory Dyn. Syst. 19(94), 7 (2020)

5. Dias, F.S., Ribeiro, R.M., Valls, C.: Global phase portraits for a planar $$\mathbb{Z} _{2}$$-equivariant Kukles systems of degree $$3$$. Int. J. Bifur. Chaos Appl. Sci. Eng. 30(2050164), 22 (2020)

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