Spatial Periodic Perturbation of Turing Pattern Development Using a Striped Mask

نویسندگان

  • Igal Berenstein
  • Milos Dolnik
  • Anatol M. Zhabotinsky
  • Irving R. Epstein
چکیده

We study the influence of the intensity of light and the wavelength of an imposed parallel striped mask on the development of striped Turing patterns. Depending on the ratio R ) λF/λP of the wavelength of the mask to the wavelength of the natural pattern and on the amplitude of forcing, stripes develop parallel or perpendicular to the orientation of the mask. For R near 1.5 or 3, zigzag patterns develop. When weak forcing is applied, stripe splitting is observed for R near 2. For strong forcing, stripe splitting occurs over a wider range of R, and two sequences of splitting are observed when R ) 4. At large R, fingers of spreading patterns develop, which propagate and reconnect to form stripes perpendicular to the mask orientation.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Translational and nontranslational motion of perturbed Turing patterns.

When the front and rear boundaries of a Turing pattern with nonzero flux boundary conditions move synchronously, several modes of motion of the pattern are found. Traveling boundaries can be obtained experimentally by illuminating a Turing-unstable system through a moving mask consisting of a single dark stripe with a light intensity sufficient to suppress pattern formation. All structured movi...

متن کامل

RIKEN Center for Developmental Biology (CDB)

Contact: [email protected] Fax: +81-78-306-3090 RIKEN Center for Developmental Biology Self-organized actin pattern in the tracheal tube September 2, 2015–Periodic structural patterns, as seen in centipedes or woodlice, are fundamental body pattern forms that are also commonly observed in humans and other animals. How these periodic structural patterns arise is one enduring fundamental q...

متن کامل

Deformation of Striped Patterns by Inhomogeneities

We study the effects of adding a local perturbation in a pattern forming system, taking as an example the Ginzburg-Landau equation with a small localized inhomogeneity in two dimensions. Measuring the response through the linearization at a periodic pattern, one finds an unbounded linear operator that is not Fredholm due to continuous spectrum in typical translation invariant or weighted spaces...

متن کامل

Interactions between zebrafish pigment cells responsible for the generation of Turing patterns.

The reaction-diffusion system is one of the most studied nonlinear mechanisms that generate spatially periodic structures autonomous. On the basis of many mathematical studies using computer simulations, it is assumed that animal skin patterns are the most typical examples of the Turing pattern (stationary periodic pattern produced by the reaction-diffusion system). However, the mechanism under...

متن کامل

Spatial periodic forcing of Turing structures.

Spontaneously evolving Turing structures in the chlorine dioxide-iodine-malonic acid reaction-diffusion system typically exhibit many defects that break the symmetry of the pattern. Periodic spatial forcing interacts with the Turing structures and modifies the pattern symmetry and wavelength. We investigate the role of the amplitude and wavelength of spatial periodic forcing on the hexagonal pa...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2003