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Shrimps: Occurence, Scaling and Relevance


Stoop, R; Martignoli, S; Benner, P; Stoop, R L; Uwate, Y (2012). Shrimps: Occurence, Scaling and Relevance. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 22(10):1230032.

Abstract

Shrimps are islands of periodicity within a chaotic sea in phase and parameter spaces of dimensions larger than one. Islands of different periodicities have recently been shown to be connected by spirals that emanate from a joint focal point, paving ways to wander around in parameter space without ever crossing the chaotic sea. We discuss the shrimp building and scaling principles as well as the influence of individual system properties. While the emergence of shrimps has abundantly been demonstrated for artificial systems, we discuss here in detail evidence of rich hierarchies of shrimps in experimental systems. We finally pinpoint the importance of shrimps in the field of bioinformatics.

Abstract

Shrimps are islands of periodicity within a chaotic sea in phase and parameter spaces of dimensions larger than one. Islands of different periodicities have recently been shown to be connected by spirals that emanate from a joint focal point, paving ways to wander around in parameter space without ever crossing the chaotic sea. We discuss the shrimp building and scaling principles as well as the influence of individual system properties. While the emergence of shrimps has abundantly been demonstrated for artificial systems, we discuss here in detail evidence of rich hierarchies of shrimps in experimental systems. We finally pinpoint the importance of shrimps in the field of bioinformatics.

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15 citations in Scopus®
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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Neuroinformatics
Dewey Decimal Classification:570 Life sciences; biology
Scopus Subject Areas:Physical Sciences > Modeling and Simulation
Physical Sciences > Engineering (miscellaneous)
Health Sciences > Multidisciplinary
Physical Sciences > Applied Mathematics
Language:English
Date:2012
Deposited On:07 Mar 2013 07:50
Last Modified:24 Jan 2022 00:22
Publisher:World Scientific Publishing Co. Pte. Ltd.
Number of Pages:13
ISSN:0218-1274
OA Status:Closed
Publisher DOI:https://doi.org/10.1142/S0218127412300327
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