Results 101 to 110 of about 213 (131)

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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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 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–Turing bifurcation in an activator–inhibitor system with gene expression time delay

Communications in Nonlinear Science and Numerical Simulation
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Transition from Amplitude to Oscillation Death via Turing Bifurcation

Physical Review Letters, 2013
Coupled oscillators are shown to experience two structurally different oscillation quenching types: amplitude death (AD) and oscillation death (OD). We demonstrate that both AD and OD can occur in one system and find that the transition between them underlies a classical, Turing-type bifurcation, providing a clear classification of these significantly ...
Koseska, A., Volkov, E., Kurths, J.
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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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Spatial resonance and Turing–Hopf bifurcations in the Gierer–Meinhardt model

Nonlinear Analysis: Real World Applications, 2016
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Yang, Rui, Song, Yongli
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Bifurcation and Turing patterns of reaction–diffusion activator–inhibitor model

Physica A: Statistical Mechanics and its Applications, 2017
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Wu, Ranchao, Zhou, Yue, Shao, Yan, Chen, Liping   +3 more
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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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Turing bifurcations with a temporally varying diffusion coefficient

Journal of Mathematical Biology, 1995
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