Non-linear oscillators with Kuramoto-like local coupling: Complexity analysis and spatiotemporal pattern generation.
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| Title: | Non-linear oscillators with Kuramoto-like local coupling: Complexity analysis and spatiotemporal pattern generation. |
|---|---|
| Authors: | García Medina, K.1 (AUTHOR), Estevez-Rams, E.1,2 (AUTHOR) estevez@fisica.uh.cu, Kunka, D.3 (AUTHOR) |
| Source: | Chaos, Solitons & Fractals. Oct2023:Part 2, Vol. 175, pN.PAG-N.PAG. 1p. |
| Subjects: | Turing machines, Cellular automata, Nonlinear oscillators, Harmonic oscillators |
| Abstract: | Can a simple oscillator system, as in cellular automata, sustain complex nature upon discretization in time and space? The answer is by no means trivial as even the most simple, two-state, nearest neighbours cellular automata can lead to Universal Turing Machine (UTM) computing power. This study analyses a recently proposed model consisting of a ring of identical excitable Adler-type oscillators with local Kuramoto-like coupling in terms of its complexity. Regions with non-trivial, complex behaviour have been identified, where spatiotemporal maps closely resemble those found in elementary cellular automata, not only from the visual perspective but also from entropic measures characterization. Also, the possibility of enhanced computation at the edge of chaos is explored by monitoring the effective complexity measure, entropy density and informational distance, following previous approaches. Distance matrix, and the corresponding dendrograms, show that in the complex regions, a non-trivial set of hierarchies emerges where local communities can appear and sustain themself in time. The fact that coupled oscillators can be realized through dedicated electronic circuitry or the result of natural processes can make finding such complex dynamics, with potential computational power, an important one in a broad scope of applications and implications. • Two regions with non-trivial, complex behaviour have been identified. • In the complex regions, spatio-temporal maps resembles those found in ECA • A boundary where a surge of excess entropy was identified. • Distance matrix show that non-trivial sets of hierarchies can emerge. [ABSTRACT FROM AUTHOR] |
| Copyright of Chaos, Solitons & Fractals is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 172776421 AccessLevel: 6 PubType: Periodical PubTypeId: serialPeriodical PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Non-linear oscillators with Kuramoto-like local coupling: Complexity analysis and spatiotemporal pattern generation. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22García+Medina%2C+K%2E%22">García Medina, K.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Estevez-Rams%2C+E%2E%22">Estevez-Rams, E.</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> estevez@fisica.uh.cu</i><br /><searchLink fieldCode="AR" term="%22Kunka%2C+D%2E%22">Kunka, D.</searchLink><relatesTo>3</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Chaos%2C+Solitons+%26+Fractals%22">Chaos, Solitons & Fractals</searchLink>. Oct2023:Part 2, Vol. 175, pN.PAG-N.PAG. 1p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Turing+machines%22">Turing machines</searchLink><br /><searchLink fieldCode="DE" term="%22Cellular+automata%22">Cellular automata</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+oscillators%22">Nonlinear oscillators</searchLink><br /><searchLink fieldCode="DE" term="%22Harmonic+oscillators%22">Harmonic oscillators</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Can a simple oscillator system, as in cellular automata, sustain complex nature upon discretization in time and space? The answer is by no means trivial as even the most simple, two-state, nearest neighbours cellular automata can lead to Universal Turing Machine (UTM) computing power. This study analyses a recently proposed model consisting of a ring of identical excitable Adler-type oscillators with local Kuramoto-like coupling in terms of its complexity. Regions with non-trivial, complex behaviour have been identified, where spatiotemporal maps closely resemble those found in elementary cellular automata, not only from the visual perspective but also from entropic measures characterization. Also, the possibility of enhanced computation at the edge of chaos is explored by monitoring the effective complexity measure, entropy density and informational distance, following previous approaches. Distance matrix, and the corresponding dendrograms, show that in the complex regions, a non-trivial set of hierarchies emerges where local communities can appear and sustain themself in time. The fact that coupled oscillators can be realized through dedicated electronic circuitry or the result of natural processes can make finding such complex dynamics, with potential computational power, an important one in a broad scope of applications and implications. • Two regions with non-trivial, complex behaviour have been identified. • In the complex regions, spatio-temporal maps resembles those found in ECA • A boundary where a surge of excess entropy was identified. • Distance matrix show that non-trivial sets of hierarchies can emerge. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Chaos, Solitons & Fractals is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.chaos.2023.114056 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 1 StartPage: N.PAG Subjects: – SubjectFull: Turing machines Type: general – SubjectFull: Cellular automata Type: general – SubjectFull: Nonlinear oscillators Type: general – SubjectFull: Harmonic oscillators Type: general Titles: – TitleFull: Non-linear oscillators with Kuramoto-like local coupling: Complexity analysis and spatiotemporal pattern generation. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: García Medina, K. – PersonEntity: Name: NameFull: Estevez-Rams, E. – PersonEntity: Name: NameFull: Kunka, D. IsPartOfRelationships: – BibEntity: Dates: – D: 15 M: 10 Text: Oct2023:Part 2 Type: published Y: 2023 Identifiers: – Type: issn-print Value: 09600779 Numbering: – Type: volume Value: 175 Titles: – TitleFull: Chaos, Solitons & Fractals Type: main |
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