An applicable Hopf bifurcation formula and instability of small periodic solutions of the field-Noyes model-Reference-Cited by-同舟云学术

An applicable Hopf bifurcation formula and instability of small periodic solutions of the field-Noyes model

Published:1976-07 Issue:1 Volume:55 Page:61-89
ISSN:0022-247X
Container-title:Journal of Mathematical Analysis and Applications
language:en
Short-container-title:Journal of Mathematical Analysis and Applications

Author:

Hsü In-Ding,Kazarinoff N.D.

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference23 articles.

1. Qualitative integration of a system of n differential equations in a region containing a singular point and a limit cycle;Brusˇlinskaya;Dokl. Akad. Nauk SSSR,1961

2. Theory of Ordinary Differential Equations;Coddington,1955

3. Oscillations in chemical systems. IV. Limit cycle behavior in a model of a real chemical reaction;Field;J. Chem. Phys.,1974

4. Oscillation in chemical systems. II. Thorough analysis of temporal oscillation in the bromate-cerium-malonic acid system;Field;J. Amer. Chem. Soc.,1972

5. Impulses and physiological states in theoretical models of nerve membrane;Fitzhugh;Biophys. J.,1961

Cited by 93 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. Stability and Hopf bifurcation of a tumor–immune system interaction model with an immune checkpoint inhibitor;Communications in Nonlinear Science and Numerical Simulation;2023-04

2. Hopf Bifurcation and Stability of the Double-Delay Lorenz System;International Journal of Bifurcation and Chaos;2023-02

3. Emergence of hidden dynamics in different neuronal network architecture with injected electromagnetic induction;Applied Mathematical Modelling;2022-11

4. On the dynamics of the diffusive Field-Noyes model for the Belousov-Zhabotinskii reaction;Journal of Differential Equations;2022-05

5. Mathematical modeling and bifurcation analysis of pro- and anti-tumor macrophages;Applied Mathematical Modelling;2020-12