Open Access
VOL. 57 | 2010 Pattern formation from projectively dynamical systems and iterations by families of maps
Chapter Author(s) Tsuyoshi Kato
Editor(s) Motoko Kotani, Masanori Hino, Takashi Kumagai
Adv. Stud. Pure Math., 2010: 243-262 (2010) DOI: 10.2969/aspm/05710243

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

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