Fractal Dimensions in Coupled Map Lattices View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

1989

AUTHORS

A. Politi , G. D’Alessandro , A. Torcini

ABSTRACT

The discovery of erratic behaviour in deterministic systems opened entirely new per­spectives in the comprehension of dynamical behaviour of nonlinear systems. The existence of broad-band spectra no longer necessarily requires a coupling with an external uncontrollable thermal bath. Chaos, providing an information flow from irrelevant to relevant digits, naturally transforms the indetermination on the initial condition into a seemingly stochastic behaviour in time domain [1]. New classes of indicators have been consequently introduced, which allow to distinguish between truly stochastic motion and low-dimensional chaotic behaviour: Lyapunov exponents, metric entropy and fractal dimensions are dynamical invariants which measure the degree of chaoticity [2]. More... »

PAGES

409-424

Book

TITLE

Measures of Complexity and Chaos

ISBN

978-1-4757-0625-3
978-1-4757-0623-9

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-1-4757-0623-9_57

DOI

http://dx.doi.org/10.1007/978-1-4757-0623-9_57

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1035402091


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