Results 171 to 180 of about 8,745 (203)

Turing-Hopf bifurcation analysis in a superdiffusive predator-prey model

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2018
The predator-prey model with superdiffusion is investigated in this paper. Here, the existence of Turing-Hopf bifurcation and the resulting dynamics are studied. To understand such a degenerate bifurcation in the anomalously diffusive system, the weakly nonlinear analysis is employed and the amplitude equations at the Turing-Hopf bifurcation point are ...
Biao Liu, Ranchao Wu, Liping Chen
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Bifurcation and Turing patterns of reaction–diffusion activator–inhibitor model

Physica A: Statistical Mechanics and its Applications, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wu, Ranchao, Zhou, Yue, Shao, Yan, Chen, Liping   +3 more
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BIFURCATIONS IN A HUMAN MIGRATION MODEL OF SCHEURLE–SEYDEL TYPE-I: TURING BIFURCATION

International Journal of Bifurcation and Chaos, 2003
In this paper we consider a model for the behavior of students in graduate programs at neighboring universities which is a modified form of the model proposed by [Scheurle & Seydel, 2000], and observe that the stationary solution of this two-component system becomes unstable in the presence of diffusion.
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Turing–Turing bifurcation in an activator–inhibitor system with gene expression time delay

Communications in Nonlinear Science and Numerical Simulation
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Turing–Hopf Bifurcation Scenario for Pattern Formation on Growing Domains

Bulletin of Mathematical Biology, 2016
In this paper, we study the emergence of different patterns that are formed on both static and growing domains and their bifurcation structure. One of these is the so-called Turing-Hopf morphogenetic mechanism. The reactive part we consider is of FitzHugh-Nagumo type.
Castillo, Jorge A., Sánchez-Garduño, Faustino, Padilla, Pablo   +2 more
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Normal Form Formulae of Turing–Turing Bifurcation for Partial Functional Differential Equations With Nonlinear Diffusion

Mathematical Methods in the Applied Sciences
ABSTRACTFor most systems, the appearance of Turing bifurcation means that it is possible to excite Turing–Turing bifurcation, thus inducing superimposed spatial patterns, multistable spatial patterns co‐existing, and others.It is undoubtedly of interest to qualitatively analyze the structures and stability of these spatially heterogeneous solutions ...
Yue Xing, Weihua Jiang
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Turing bifurcation in a system with cross diffusion

Nonlinear Analysis, 2004
The Turing bifurcation is studied in the following reaction-diffusion systems \(\partial_t S=D\Delta S+f(S)\) of two components \(S=(S_1,S_2),\) with a non-diagonal diffusion matrix \(D\) and the Neumann boundary condition, and with a nonlinearity \(f\) which ensures that the corresponding kinetic system has linearly stable solutions.
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Turing bifurcations with a temporally varying diffusion coefficient

Journal of Mathematical Biology, 1995
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TURING BIFURCATION IN A HUMAN MIGRATION MODEL OF SCHEURLE–SEYDEL TYPE

International Journal of Bifurcation and Chaos, 2013
The main goal of this paper is to continue the investigations of the important system proposed by [Scheurle & Seydel, 2000] and modified by [Sándor, 2003]. I consider spatio-temporal models for the behavior of students in graduate programs at neighboring universities as systems of ODE which describe two-identical patch-two-species systems linked ...
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Turing-Hopf Bifurcation

2022
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