Global Phase Portraits for a Planar ℤ2-Equivariant Kukles Systems of Degree 3-Reference-Cited by-同舟云学术

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

Published:2020-09-30 Issue:12 Volume:30 Page:2050164
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Dias Fabio Scalco¹^ORCID,Ribeiro Ronisio Moises¹,Valls Claudia²

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

Abstract

We provide normal forms and the global phase portraits on the Poincaré disk of all planar Kukles systems of degree [Formula: see text] with [Formula: see text]-equivariant symmetry. Moreover, we also provide the bifurcation diagrams for these global phase portraits.

Funder

FAPEMIG

FCT/Portugal

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127420501643

Reference12 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. Issue Information

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