Bifurcation analysis of a two-dimensional discrete Hindmarsh–Rose type model

Bifurcation analysis of a two-dimensional discrete Hindmarsh–Rose type model

Abstract In this paper, bifurcation analysis of a discrete Hindmarsh–Rose model is carried out in the plane. This paper shows that the model undergoes a flip bifurcation, a Neimark–Sacker bifurcation, and 1:2 $1:2$ resonance which includes a pitchfork bifurcation, a Neimark–Sacker bifurcation, and a...

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Bibliographic Details
Main Authors: Bo Li, Qizhi He
Format: Article
Language:English
Published: SpringerOpen 2019-03-01
Series:Advances in Difference Equations
Subjects:
Hindmarsh–Rose model
Flip bifurcation
Pitchfork bifurcation
Neimark–Sacker bifurcation
1 : 2 $1:2$ resonance
Symmetric orbits
Online Access:http://link.springer.com/article/10.1186/s13662-019-2062-z

Internet

http://link.springer.com/article/10.1186/s13662-019-2062-z

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