Abstract
In this paper we describe and formulate dynamical pattern formation, which is given by hierarchies of dynamical systems by scale transform. They arise from random iterations by maps and create PDE such as KdV or Lotka Volterra. As an intermediate scale, we use tropical geometry.
Information
Published: 1 January 2010
First available in Project Euclid: 24 November 2018
zbMATH: 1252.37059
MathSciNet: MR2648263
Digital Object Identifier: 10.2969/aspm/05710243
Subjects:
Primary:
37E
,
39A
Keywords:
Discrete dynamical systems
,
Scale transform
,
Tropical geometry
Rights: Copyright © 2010 Mathematical Society of Japan