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.
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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.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Neuroinformatics |
| DDC: | 570 Life sciences; biology |
| Language: | English |
| Date: | 01 August 2010 |
| Deposited On: | 04 Mar 2011 11:22 |
| Last Modified: | 23 Nov 2012 14:29 |
| Publisher: | American Physical Society |
| Series Name: | Physical review letters |
| Number of Pages: | -74102 |
| ISSN: | 0031-9007 |
| Publisher DOI: | 10.1103/PhysRevLett.105.074102 |
| PubMed ID: | 20868048 |
| WoS Citation Count: | 16 |
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