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On a simple measure for complexity

On a simple measure for complexity
On a simple measure for complexity
A measure of “complexity” is proposed, based on appropriately defined notions of “order” and “disorder,” which has a considerable degree of flexibility in its dependence on these concepts. The possible functional dependencies which result encompass those of many earlier definitions of complexity. The proposed measure is in principle easy to calculate and has the property of an intensive thermodynamic quantity. With appropriate choices of parameters it behaves similarly to “effective measure complexity” for the logistic map. It is also a generalization of the “normalized complexity” of López-Ruiz et al., but does not suffer from “over-universality.”
1063-651X
1459-1464
Shiner, J.S.
f4911972-c407-48c9-981d-4b0913a6f93b
Davison, Matt
d3bae0fe-6789-4a28-a3a6-50005992c8e4
Landsberg, P.T.
430ba980-a590-4d7c-8c03-9ecf192c21d3
Shiner, J.S.
f4911972-c407-48c9-981d-4b0913a6f93b
Davison, Matt
d3bae0fe-6789-4a28-a3a6-50005992c8e4
Landsberg, P.T.
430ba980-a590-4d7c-8c03-9ecf192c21d3

Shiner, J.S., Davison, Matt and Landsberg, P.T. (1999) On a simple measure for complexity. Physical Review E, 59 (2), 1459-1464. (doi:10.1103/PhysRevE.59.1459).

Record type: Article

Abstract

A measure of “complexity” is proposed, based on appropriately defined notions of “order” and “disorder,” which has a considerable degree of flexibility in its dependence on these concepts. The possible functional dependencies which result encompass those of many earlier definitions of complexity. The proposed measure is in principle easy to calculate and has the property of an intensive thermodynamic quantity. With appropriate choices of parameters it behaves similarly to “effective measure complexity” for the logistic map. It is also a generalization of the “normalized complexity” of López-Ruiz et al., but does not suffer from “over-universality.”

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Published date: 1999

Identifiers

Local EPrints ID: 29484
URI: http://eprints.soton.ac.uk/id/eprint/29484
ISSN: 1063-651X
PURE UUID: f313be87-2f32-4dbf-9768-8bef83cfd1bb

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Date deposited: 27 Apr 2007
Last modified: 26 Apr 2022 19:26

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Contributors

Author: J.S. Shiner
Author: Matt Davison
Author: P.T. Landsberg

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