MEASURING AND CHARACTERIZING SPATIAL PATTERNS, DYNAMICS AND CHAOS IN SPATIALLY EXTENDED DYNAMICAL-SYSTEMS AND ECOLOGIES

Authored by DA RAND

Date Published: 1994

DOI: 10.1098/rsta.1994.0107

Sponsors: Wolfson foundation United Kingdom Science and Engineering Research Council

Platforms: No platforms listed

Model Documentation: Other Narrative Mathematical description

Model Code URLs: Model code not found

Abstract

In this paper I discuss space-time chaos in both locally mixing continuum systems (reaction-diffusion equations, coupled map lattices and functional maps) and individual-based models (probabilistic cellular automata and artificial ecologies). I particularly emphasize quantification and data-analysis and attempt to address the characterization of spatial structure and dynamics in such disordered systems. I discuss the relevance of these ideas to ecology, evolution and epidemiology. The artificial ecologies I consider motivate a new definition of space-time chaos for such systems and new data analysis techniques.

Tags

turbulence stability Evolutionary games Transition Media Ginzburg-landau equation Host parasitoid systems Spatiotemporal chaos Map lattices Intermittency