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Letellier C, Mangiarotti S, Sendiña-Nadal I, Rössler OE. Topological characterization versus synchronization for assessing (or not) dynamical equivalence. CHAOS (WOODBURY, N.Y.) 2018; 28:045107. [PMID: 31906632 DOI: 10.1063/1.5011325] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/10/2023]
Abstract
Model validation from experimental data is an important and not trivial topic which is too often reduced to a simple visual inspection of the state portrait spanned by the variables of the system. Synchronization was suggested as a possible technique for model validation. By means of a topological analysis, we revisited this concept with the help of an abstract chemical reaction system and data from two electrodissolution experiments conducted by Jack Hudson's group. The fact that it was possible to synchronize topologically different global models led us to conclude that synchronization is not a recommendable technique for model validation. A short historical preamble evokes Jack Hudson's early career in interaction with Otto E. Rössler.
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Affiliation(s)
- Christophe Letellier
- Normandie University, CORIA, Avenue de l'Université, 76800 Saint-Etienne du Rouvray, France
| | - Sylvain Mangiarotti
- Centre d'Études Spatiales de la Biosphère, UPS-CNRS-CNES-IRD, Observatoire Midi-Pyrénées, 18 Avenue Édouard Belin, 31401 Toulouse, France
| | - Irene Sendiña-Nadal
- Complex Systems Group, Universidad Rey Juan Carlos, 28933 Móstoles, Madrid, Spain
| | - Otto E Rössler
- Faculty of Science, University of Tübingen, Auf der Morgenstelle 8, 72076 Tübingen, Germany
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Bîrzu A, Kiss IZ. Asymmetrical multiphase front propagation and localized oscillations in a reaction-migration iron electrodissolution model with microfluidic flow cell geometry. J Solid State Electrochem 2015. [DOI: 10.1007/s10008-015-2873-0] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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Sadeghi S, Thompson M. Towards information processing from nonlinear physical chemistry: A synthetic electrochemical cognitive system. Biosystems 2010; 102:99-111. [DOI: 10.1016/j.biosystems.2010.08.001] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/05/2010] [Accepted: 08/02/2010] [Indexed: 10/19/2022]
Affiliation(s)
- Saman Sadeghi
- Crump Institute for Molecular Imaging, UCLA, 570 Westwood Plaza, Building 114, Los Angeles, CA 90095, USA.
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Karantonis A, Pagitsas M, Miyakita Y, Nakabayashi S. Manipulation of spatio-temporal patterns in networks of relaxation electrochemical oscillators. Electrochim Acta 2005. [DOI: 10.1016/j.electacta.2005.02.072] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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Miyakita Y, Nakabayashi S, Karantonis A. Spatiotemporal coding in an electrochemical oscillatory network. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2005; 71:056207. [PMID: 16089634 DOI: 10.1103/physreve.71.056207] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/08/2004] [Indexed: 05/03/2023]
Abstract
A network consisting of N relaxation electrochemical oscillators, mutually coupled by all-to-all inhibitory connections, can have (N-1) ! coexisting out-of-phase states, each state being a permutation of a periodic spiking sequence. The modification of the out-of-phase states by shots of laser pulse perturbations is shown. In such networks the phase relation of the oscillators is stored as a coded pattern. The ability of the network to function as a rewritable memory of (N-1) ! different spatiotemporal patterns is demonstrated experimentally for N=4.
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Affiliation(s)
- Yasuyuki Miyakita
- Department of Chemistry, Faculty of Science, Saitama University, Saitama 338-8570, Japan
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Karantonis A, Pagitsas M, Miyakita Y, Nakabayashi S. From Excitatory to Inhibitory Connections in Networks of Discrete Electrochemical Oscillators. J Phys Chem B 2003. [DOI: 10.1021/jp036595c] [Citation(s) in RCA: 22] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- A. Karantonis
- Department of Materials Science and Engineering, School of Chemical Engineering, National Technical University of Athens, Zografou 15780, Athens, Greece, Department of Chemistry, Faculty of Science, Aristotle University of Thessaloniki, Thessaloniki 54006, Greece, and Department of Chemistry, Faculty of Science, Saitama University, Saitama 338-8570, Japan
| | - M. Pagitsas
- Department of Materials Science and Engineering, School of Chemical Engineering, National Technical University of Athens, Zografou 15780, Athens, Greece, Department of Chemistry, Faculty of Science, Aristotle University of Thessaloniki, Thessaloniki 54006, Greece, and Department of Chemistry, Faculty of Science, Saitama University, Saitama 338-8570, Japan
| | - Y. Miyakita
- Department of Materials Science and Engineering, School of Chemical Engineering, National Technical University of Athens, Zografou 15780, Athens, Greece, Department of Chemistry, Faculty of Science, Aristotle University of Thessaloniki, Thessaloniki 54006, Greece, and Department of Chemistry, Faculty of Science, Saitama University, Saitama 338-8570, Japan
| | - S. Nakabayashi
- Department of Materials Science and Engineering, School of Chemical Engineering, National Technical University of Athens, Zografou 15780, Athens, Greece, Department of Chemistry, Faculty of Science, Aristotle University of Thessaloniki, Thessaloniki 54006, Greece, and Department of Chemistry, Faculty of Science, Saitama University, Saitama 338-8570, Japan
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