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Real-world existence and origins of the spiral organization of shrimp-shaped domains


Stoop, R; Benner, P; Uwate, Y (2010). Real-world existence and origins of the spiral organization of shrimp-shaped domains. Physical Review Letters, 105(7):e074102.

Abstract

In two-dimensional parameter spaces, nonlinear systems producing solutions of a fixed periodicity form islands of a characteristic shape, called """"shrimp''-shaped domains (SSDs). In simulations of electronic circuits, SSDs of different periodicities were recently found to be connected along spirals. By means of a hardware realization of the simulations, we provide a first direct proof of the real-world existence of this phenomenon. An improved description establishes a close experiment-simulation correspondence, and a simplified circuit family demonstrates the homoclinic saddle-focus origin of the phenomenon.

Abstract

In two-dimensional parameter spaces, nonlinear systems producing solutions of a fixed periodicity form islands of a characteristic shape, called """"shrimp''-shaped domains (SSDs). In simulations of electronic circuits, SSDs of different periodicities were recently found to be connected along spirals. By means of a hardware realization of the simulations, we provide a first direct proof of the real-world existence of this phenomenon. An improved description establishes a close experiment-simulation correspondence, and a simplified circuit family demonstrates the homoclinic saddle-focus origin of the phenomenon.

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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
Language:English
Date:1 August 2010
Deposited On:04 Mar 2011 10:22
Last Modified:07 Dec 2017 07:53
Publisher:American Physical Society
Series Name:Physical review letters
Number of Pages:-74102
ISSN:0031-9007
Publisher DOI:https://doi.org/10.1103/PhysRevLett.105.074102
PubMed ID:20868048

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