 1  Author
 Georg Purwins, Christian Radehaus, Jürgen Berkemeier  Requires cookie*   Title
 Hans    Abstract
 We investigate experimentally stationary stable states of activator (w) inhibitor (v) type systems corresponding to the reaction diffusion equation S ■ v = Av + w — v; w = a Aw + f(w) — v; S, a — const > 0 with / (w) monotonically increasing for small and decreasing for large w. We first describe some general mathematical properties and present qualitative results obtained from numerical calcula tions. We then investigate experimentally electrical networks described by the spatially discretized version of the above equation. Calculation and experiment are in good agreement. We also interprete a two dimensionalnetwork as an equivalent circuit for a composite material consisting of a linear and a nonlinear layer with an sshaped current density electric field characteristic. This model is used for a phenomenological description of spatial structures and global current voltage characteristics observed experimentally in pindiode like and gas discharge devices. The model accounts very well for the experimental results obtained so far. It is concluded that the above equation and the corresponding experimental setup are of great interest for fundamental investigations of self con trolled processes in nature. E x p e r im e n ta l I n v e s tig a tio n o f S p a t ia l P a t t e r n F o r m a tio n in P h y s ic a l S y s te m s o f A c tiv a to r I n h ib ito r T y p e   
Reference
 Z. Naturforsch. 43a, 17—29 (1988); received October 10 1987   
Published
 1988   
Keywords
 Activator Inhibitor System, Reaction Diffusion System, Electrical Network, Semicon ductor, Gas Discharge   
Similar Items
 Find   DEBUG INFO
    TEIXML for
 default:Reihe_A/43/ZNA198843a0017.pdf    Identifier
 ZNA198843a0017    Volume
 43  
