Nonlinear effects on Turing patterns: time oscillations and chaos

Nonlinear effects on Turing patterns: time oscillations and chaos

Taispeáin leaganacha eile (2)

We show that a model reaction-diffusion system with two species in a monostable regime and over a large region of parameter space produces Turing patterns coexisting with a limit cycle which cannot be discerned from the linear analysis. As a consequence, the patterns oscillate in time. When varying...

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Sonraí bibleagrafaíochta
Príomhchruthaitheoirí:	Aragón, J, Barrio, R, Woolley, T, Baker, R, Maini, P
Formáid:	Journal article
Foilsithe / Cruthaithe:	American Physical Society 2012

Míreanna comhchosúla

Nonlinear effects on Turing patterns: time oscillations and chaos.
de réir: Aragón, J, et al.
Foilsithe / Cruthaithe: (2012)

Non-linear effects on Turing patterns: time oscillations and chaos.
de réir: Aragón, J, et al.
Foilsithe / Cruthaithe: (2012)

Analysis of stationary droplets in a generic Turing reaction-diffusion system
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Foilsithe / Cruthaithe: (2010)

Analysis of stationary droplets in a generic Turing reaction-diffusion system.
de réir: Woolley, T, et al.
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Turing patterns with pentagonal symmetry.
de réir: Aragón, J, et al.
Foilsithe / Cruthaithe: (2002)

Turing's model for biological pattern formation and the robustness problem.
de réir: Maini, P, et al.
Foilsithe / Cruthaithe: (2012)

Spatial patterning in modified Turing systems: Application to pigmentation patterns on marine fish
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Foilsithe / Cruthaithe: (1998)

Turing's model for biological pattern formation and the robustness problem
de réir: Maini, P, et al.
Foilsithe / Cruthaithe: (2012)

A two-dimensional numerical study of spatial pattern formation in interacting Turing systems
de réir: Barrio, R, et al.
Foilsithe / Cruthaithe: (1999)

A two-dimensional numerical study of spatial pattern formation in interacting Turing systems.
de réir: Barrio, R, et al.
Foilsithe / Cruthaithe: (1999)

How to generate pentagonal symmetry using Turing systems
de réir: Aragón, J, et al.
Foilsithe / Cruthaithe: (2002)

Turing patterns in fish skin?
de réir: Hofer, T, et al.
Foilsithe / Cruthaithe: (1996)

Turing patterns in fish skin?
de réir: Hofer, T, et al.
Foilsithe / Cruthaithe: (1996)

The impact of Turing's work on pattern formation in biology
de réir: Maini, P
Foilsithe / Cruthaithe: (2004)

Noise-induced temporal dynamics in Turing systems
de réir: Schumacher, L, et al.
Foilsithe / Cruthaithe: (2013)

Noise-induced temporal dynamics in Turing systems
de réir: Schumacher, L, et al.
Foilsithe / Cruthaithe: (2013)

The turing model comes of molecular age
de réir: Maini, P, et al.
Foilsithe / Cruthaithe: (2006)

Turing patterning in stratified domains
de réir: Krause, AL, et al.
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Gap junctions in Turing-type periodic feather pattern formation.
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Pattern formation in Turing systems with mixed boundary conditions
de réir: Maini, P, et al.
Foilsithe / Cruthaithe: (1993)

Spatial and spatiotemporal pattern formation in generalised turing systems
de réir: Maini, P
Foilsithe / Cruthaithe: (1996)

Spatial and spatiotemporal pattern formation in generalised Turing systems
de réir: Maini, P
Foilsithe / Cruthaithe: (1996)

Oscillatory Turing Patterns in a Simple Reaction-Diffusion System
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Foilsithe / Cruthaithe: (2007)

Oscillatory Turing patterns in a simple reaction-diffusion system
de réir: Liu, R, et al.
Foilsithe / Cruthaithe: (2007)

Parameter domains for Turing and stationary flow-distributed waves: I. The influence of nonlinearity
de réir: Satnoianu, R, et al.
Foilsithe / Cruthaithe: (2001)

Developmental biology: the Turing model comes of molecular age
de réir: Maini, P, et al.
Foilsithe / Cruthaithe: (2006)

Turing pattern outside of the Turing domain
de réir: Flach, E, et al.
Foilsithe / Cruthaithe: (2006)

Two-stage Turing model for generating pigment patterns on the leopard and the jaguar
de réir: Liu, R, et al.
Foilsithe / Cruthaithe: (2006)

Turing's theory of morphogenesis
de réir: Maini, P
Foilsithe / Cruthaithe: (2013)

Turing and Non-Turing patterns in diffusive plankton model
de réir: N. K. Thakur, et al.
Foilsithe / Cruthaithe: (2015-03-01)

On the speed of propagation in Turing patterns for reaction-diffusion systems
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Turing patterns in fish skin? (vol 380, pg 678, 1996)
de réir: Hofer, T, et al.
Foilsithe / Cruthaithe: (1996)

Turing instabilities in general systems
de réir: Satnoianu, R, et al.
Foilsithe / Cruthaithe: (2000)

Turing instabilities in general systems.
de réir: Satnoianu, R, et al.
Foilsithe / Cruthaithe: (2000)

A feedback quenched oscillator produces turing patterning with one diffuser.
de réir: Justin Hsia, et al.
Foilsithe / Cruthaithe: (2012-01-01)

Turing's mathematical theory of morphogenesis
de réir: Maini, P
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Pattern formation in spatially heterogeneous Turing reaction-diffusion models
de réir: Page, K, et al.
Foilsithe / Cruthaithe: (2003)

Pattern formation in spatially heterogeneous Turing reaction-diffusion models
de réir: Page, K, et al.
Foilsithe / Cruthaithe: (2003)

Bespoke Turing systems
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PATTERN-FORMATION IN GENERALIZED TURING SYSTEMS .1. STEADY-STATE PATTERNS IN SYSTEMS WITH MIXED BOUNDARY-CONDITIONS
de réir: Dillon, R, et al.
Foilsithe / Cruthaithe: (1994)