Global Dynamics of a Planar Piecewise Linear Refracting System of Node-Node Types-Reference-Cited by-同舟云学术

Global Dynamics of a Planar Piecewise Linear Refracting System of Node-Node Types

Published:2022-10 Issue:13 Volume:32 Page:
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Zhao Hefei¹,Wu Kuilin¹,Shao Yi²^ORCID

Affiliation:

1. School of Mathematics and Statistics, Guizhou University, Guiyang 550025, P. R. China

2. School of Mathematics and Statistics, Zhaoqing University, Guangdong 526061, P. R. China

Abstract

In this paper, we study global dynamics of a planar piecewise linear refracting system with a straight line of separation of node-node type, improper node-improper node type and improper node-node type, respectively. We obtain the conditions of the uniqueness and nonexistence of limit cycles of the refracting system and provide classifications of the topological phase portraits in the Poincaré disk.

Funder

National Natural Science Foundation of China

Science and Technology Program of Guizhou Province

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127422502017

Reference34 articles.

1. Generic bifurcation of refracted systems

2. Phase portraits of planar semi-homogeneous vector fields-I

3. Phase portraits of planar semi-homogeneous vector fields (II)

4. The Classification on the Global Phase Portraits of Two-dimensional Lotka–Volterra System

5. Degenerate Hopf Bifurcations in Discontinuous Planar Systems

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