Zero-Hopf bifurcation in the FitzHugh-Nagumo system-Reference-Cited by-同舟云学术

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Zero-Hopf bifurcation in the FitzHugh-Nagumo system

Published:2014-12-11 Issue:17 Volume:38 Page:4289-4299
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math. Meth. Appl. Sci.

Author:

Euzébio Rodrigo D.¹²,Llibre Jaume²,Vidal Claudio³

Affiliation:

1. Departament de Matemática; IBILCE, UNESP; Rua Cristovao Colombo 2265 Jardim Nazareth CEP 15.054-00 Sao José de Rio Preto, São Paulo Brazil

2. Departament de Matemàtiques; Universitat Autònoma de Barcelona; 08193 Bellaterra, Barcelona Catalonia Spain

3. Departamento de Matemática; Universidad del Bío-Bío; Concepción Avda. Collao 1202 Chile

Funder

São Paulo Research Foundation

Institució Catalana de Recerca i Estudis Avançats

Publisher

Wiley

Subject

General Engineering,General Mathematics

Reference28 articles.

1. Impulses and physiological state in theoretical models of nerve membrane;FitzHugh;Biophysical Journal,1961

2. An active pulse transmission line simulating nerve axon;Nagumo;Proceedings of the IRE,1963

3. Existence of wavefronts and impulses to FitzHugh-Nagumo equations;Gao;Nonlinear Analysis,2004

4. On a codimension two bifurcation;Guckenheimer;Lecture Notes in Math,1980

Cited by 7 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. On the integrability problem for the Hopf-zero singularity and its relation with the inverse Jacobi multiplier;Applied Mathematics and Computation;2021-09

2. Memristor-based oscillatory behavior in the FitzHugh–Nagumo and Hindmarsh–Rose models;Nonlinear Dynamics;2021-02

3. ZERO-HOPF BIFURCATION IN NUCLEAR SPIN GENERATOR SYSTEM;Journal of Applied Analysis & Computation;2021

4. Orbital normal forms for a class of three-dimensional systems with an application to Hopf-zero bifurcation analysis of Fitzhugh–Nagumo system;Applied Mathematics and Computation;2020-03

5. The integrability and the zero-Hopf bifurcation of the three dimensional Lotka-Volterra systems;AIP Conference Proceedings;2018

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