scholarly journals Transversal interface dynamics of a front connecting a stripe pattern to a uniform state

2008 ◽  
Vol 83 (2) ◽  
pp. 28002 ◽  
Author(s):  
Marcel G. Clerc ◽  
Daniel Escaff ◽  
René Rojas
Keyword(s):  
Stripe Pattern ◽  
Interface Dynamics ◽  
Uniform State

DYNAMICS OF AN INTERFACE CONNECTING A STRIPE PATTERN AND A UNIFORM STATE: AMENDED NEWELL–WHITEHEAD–SEGEL EQUATION

2009 ◽  
Vol 19 (08) ◽  
pp. 2801-2812 ◽  
Author(s):  
RENÉ G. ROJAS ◽  
RICARDO G. ELÍAS ◽  
MARCEL G. CLERC
Keyword(s):  
Amplitude Equation ◽  
Conventional Approach ◽  
Homogeneous State ◽  
Stripe Pattern ◽  
Localized Structures ◽  
Uniform State ◽  
The Rich

The dynamics of an interface connecting a stationary stripe pattern with a homogeneous state is studied. The conventional approach which describes this interface, Newell–Whitehead–Segel amplitude equation, does not account for the rich dynamics exhibited by these interfaces. By amending this amplitude equation with a nonresonate term, we can describe this interface and its dynamics in a unified manner. This model exhibits a rich and complex transversal dynamics at the interface, including front propagations, transversal patterns, locking phenomenon, and transversal localized structures.

scholarly journals Interface Dynamics at the Depinning Transition

1997 ◽  
Vol 7 (10) ◽  
pp. 1191-1200 ◽  
Author(s):  
Juan M. López ◽  
Miguel A. Rodríguez
Keyword(s):  
Interface Dynamics ◽  
Depinning Transition

Air-water interface: dynamics of nutrients and picoplankton in the surface microlayer of a humic lake

1997 ◽  
Vol 26 (2) ◽  
pp. 319-322 ◽  
Author(s):  
Anna Hillbricht-Ilkowska ◽  
Iwona Jasser ◽  
Iwona Kostrzewska-Szlakowska
Keyword(s):  
Surface Microlayer ◽  
Water Interface ◽  
Humic Lake ◽  
Interface Dynamics ◽  
Air Water Interface

scholarly journals Elastic Net Model of Ocular Dominance: Overall Stripe Pattern and Monocular Deprivation

1994 ◽  
Vol 6 (4) ◽  
pp. 615-621 ◽  
Author(s):  
Geoffrey J. Goodhill ◽  
David J. Willshaw
Keyword(s):  
Visual Cortex ◽  
Lateral Geniculate Nucleus ◽  
Primary Visual Cortex ◽  
Ocular Dominance ◽  
Monocular Deprivation ◽  
Elastic Net ◽  
Global Order ◽  
Stripe Pattern ◽  
Lateral Geniculate ◽  
Stripe Width

The elastic net (Durbin and Willshaw 1987) can account for the development of both topography and ocular dominance in the mapping from the lateral geniculate nucleus to primary visual cortex (Goodhill and Willshaw 1990). Here it is further shown for this model that (1) the overall pattern of stripes produced is strongly influenced by the shape of the cortex: in particular, stripes with a global order similar to that seen biologically can be produced under appropriate conditions, and (2) the observed changes in stripe width associated with monocular deprivation are reproduced in the model.

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