Global Phase Portraits for the Kukles Systems of Degree 3 with ℤ2-Reversible Symmetries-Reference-Cited by-同舟云学术

Global Phase Portraits for the Kukles Systems of Degree 3 with ℤ2-Reversible Symmetries

Published:2021-05 Issue:06 Volume:31 Page:2150083
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Dias Fabio Scalco¹,Ribeiro Ronisio Moises²,Valls Claudia³

Affiliation:

1. Instituto de Matemática e Computação, Universidade Federal de Itajubá, Avenida BPS 1303, Pinheirinho, CEP 37.500–903, Itajubá, MG, Brazil

2. Departamento de Matemática, IBILCE–UNESP, Rua C. Colombo, 2265, CEP 15054-000, S. J. Rio Preto, São Paulo, Brazil

3. Departamento de Matemàtica, Instituto Superior Técnico, Universidade de Lisboa, 1049-001 Lisboa, Portugal

Abstract

We provide the normal forms, the bifurcation diagrams and the global phase portraits on the Poincaré disk of all planar Kukles systems of degree [Formula: see text] with [Formula: see text]-symmetries.

Funder

Fundação de Amparo à Pesquisa do Estado de Minas Gerais

Fundação de Amparo à Pesquisa do Estado de São Paulo

Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127421500838

Reference9 articles.

1. Phase Portraits of Reversible Linear Differential Systems with Cubic Homogeneous Polynomial Nonlinearities Having a Non-degenerate Center at the Origin

2. On the Paper of Jin and Wang Concerning the conditions for a Centre in certain Cubic Systems

3. Global Phase Portraits for a Planar ℤ2-Equivariant Kukles Systems of Degree 3

4. Issue Information

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Global Phase Portraits of Piecewise Quadratic Differential Systems with a Pseudo-Center;International Journal of Bifurcation and Chaos;2024-03-06

2. On the cubic Kukles systems with an algebraic limit cycle of degree two;Journal of Mathematical Analysis and Applications;2023-10