Spatiotemporal attractors generated by the Turing-Hopf bifurcation in a time-delayed reaction-diffusion system

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2018183 ◽

2019 ◽

Vol 24 (2) ◽

pp. 487-510 ◽

Author(s):

Qi An ◽

◽

Weihua Jiang

Keyword(s):

Hopf Bifurcation ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Delayed Reaction

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Hopf bifurcation analysis on a delayed reaction-diffusion system modelling the spatial spread of bacterial and viral diseases

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2019.05.002 ◽

2019 ◽

Vol 125 ◽

pp. 152-162 ◽

Author(s):

Haijun Hu ◽

Yanxiang Tan ◽

Jianhua Huang

Keyword(s):

Hopf Bifurcation ◽

Bifurcation Analysis ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Viral Diseases ◽

System Modelling ◽

Delayed Reaction ◽

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Hopf bifurcation in two inhibitors on one activator in a reaction-diffusion system

Applied Mathematical Sciences ◽

10.12988/ams.2013.34199 ◽

2013 ◽

Vol 7 ◽

pp. 3419-3431

Author(s):

YoonMee Ham

Keyword(s):

Hopf Bifurcation ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System

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Andronov?Hopf bifurcation in the boundary-value problem for a ?reaction?diffusion? system on an interval

Computational Mathematics and Modeling ◽

10.1007/bf01130887 ◽

1993 ◽

Vol 4 (1) ◽

pp. 108-112

Author(s):

A. V. Shobukhov

Keyword(s):

Hopf Bifurcation ◽

Boundary Value Problem ◽

Boundary Value ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System

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Traveling fronts for a delayed reaction–diffusion system with a quiescent stage

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2011.01.012 ◽

2011 ◽

Vol 16 (9) ◽

pp. 3610-3621 ◽

Author(s):

Shi-Liang Wu ◽

Hai-Qin Zhao

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Delayed Reaction ◽

Traveling Fronts ◽

Quiescent Stage

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TURING-HOPF BIFURCATION IN THE REACTION-DIFFUSION SYSTEM WITH DELAY AND APPLICATION TO A DIFFUSIVE PREDATOR-PREY MODEL

Journal of Applied Analysis & Computation ◽

10.11948/2156-907x.20190015 ◽

2019 ◽

Vol 9 (3) ◽

pp. 1132-1164 ◽

Author(s):

Yongli Song ◽

◽

Heping Jiang ◽

Yuan Yuan ◽

◽

...

Keyword(s):

Hopf Bifurcation ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Predator Prey ◽

System With Delay ◽

Predator Prey Model ◽

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Diffusive instability near Hopf bifurcation for exponentially autocatalyzed reaction-diffusion system

Journal of Physics A General Physics ◽

10.1088/0305-4470/23/24/003 ◽

1990 ◽

Vol 23 (24) ◽

pp. L1293-L1299 ◽

Author(s):

S R Inamdar ◽

P Rajani ◽

B D Kulkarni

Keyword(s):

Hopf Bifurcation ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Diffusive Instability

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Spatiotemporal dynamics near a supercritical Turing-Hopf bifurcation in a two-dimensional reaction-diffusion system

Physical Review E ◽

10.1103/physreve.64.026219 ◽

2001 ◽

Vol 64 (2) ◽

Author(s):

W. Just ◽

M. Bose ◽

S. Bose ◽

H. Engel ◽

E. Schöll

Keyword(s):

Hopf Bifurcation ◽

Reaction Diffusion ◽

Spatiotemporal Dynamics ◽

Reaction Diffusion System ◽

Diffusion System ◽

Two Dimensional

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Spatial dynamics of a nonlocal and time-delayed reaction–diffusion system

Journal of Differential Equations ◽

10.1016/j.jde.2008.09.001 ◽

2008 ◽

Vol 245 (10) ◽

pp. 2749-2770 ◽

Author(s):

Jian Fang ◽

Junjie Wei ◽

Xiao-Qiang Zhao

Keyword(s):

Spatial Dynamics ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Delayed Reaction

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On the construction of Lyapunov quantities in the Andronov-Hopf bifurcation problem in the reaction-diffusion system

10.33184/mnkuomsh2t-2021-10-06.2 ◽

2021 ◽

Author(s):

Гульфия Абушахмина

Keyword(s):

Hopf Bifurcation ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Bifurcation Problem

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Hopf bifurcation in a reaction-diffusion system governed by the fitz-hugh-nagumo equations

Computers & Mathematics with Applications ◽

10.1016/0898-1221(92)90059-q ◽

1992 ◽

Vol 23 (10) ◽

pp. 85-97 ◽

Author(s):

Mo-Hong Chou

Keyword(s):

Hopf Bifurcation ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Nagumo Equations

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