Results 111 to 120 of about 2,929 (211)
, 2008 Fronts are traveling waves in spatially extended systems that connect two different spatially homogeneous rest states. If the rest state behind the front undergoes a supercritical Turing instability, then the front will also destabilize.
Anna Ghazaryan
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An instability framework of Hopf–Turing–Turing singularity in 2-component reaction–diffusion systems
Citation: Izuhara, H., Kobayashi, S. An instability framework of Hopf–Turing–Turing singularity in 2-component reaction–diffusion systems. Japan J. Indust. Appl. Math. 42, 63–112 (2025). https://doi.org/10.1007/s13160-024-00668-
出原, 浩史 +5 more
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Turing Patterns and Wavefronts for Reaction-Diffusion Systems in an Infinite Channel
, 2013 [[abstract]]This paper deals with reaction-diffusion systems on an infinitely long strip in R2. Through a pitchfork bifurcation, spatially heterogeneous patterns exist in a neighborhood of Turing instability.
Chen, Chao-Nien; Ei, Shin-Ichiro; Lin, Ya-Ping
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The emergence of localized radial patterns from a Turing instability has been well studied in two- and three-dimensional settings and predicted for higher spatial dimensions. We prove the existence of localized (+1)-dimensional radial patterns in general
Hill, Dan J
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On the stability of a binary chemical reaction diffusion system with Turing instability
, 2006 The linear stability-instability of the equilibrium state of a binary reaction-diffusion system of P.D.Es modelling a chemical autocatalytic reaction, is studied.
GENTILE, MAURIZIO +2 more
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Unilateral regulation breaks regularity of Turing patterns
, 2017 We consider a reaction-diffusion system undergoing Turing instability and augment it by an additional unilateral nonsmooth unilateral source term. We investigate its influence on the Turing instability and on the character of resulting patterns.
Milan Kučera +7 more
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Turing instability in Anisotropic systems
, 1987 info:eu-repo/semantics ...
Dewel, Guy +2 more
openaire +1 more source
Rich Dynamics Caused by a Fractional Diffusion Operator in Nonchaotic Rulkov Maps
Fractal and FractionalThere are few works about Neimark–Sacker bifurcating analysis on discrete dynamical systems with linear diffusion and delayed coupling under periodic/Neumann-boundary conditions.
Huanqin Hu, Mingshu Peng, Yingfei Qi
doaj +1 more source
, 2021 In this work, we have investigated the evolution of diffusive pattern formation in a predator–prey model under type-III functional response. Using stability analysis, we receive the significant specifications for Turing instability (diffusive-driven ...
Singh, Teekam +3 more
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Periodic waves of the Lugiato-Lefever equation at the onset of Turing instability. [PDF]
Philos Trans A Math Phys Eng Sci, 2018 Delcey L, Haraguss M.
europepmc +1 more source