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  Ubiquity of ring structures in the control space of complex oscillators

Ramirez Avila, G. M., Kurths, J., Gallas, J. A. C. (2021): Ubiquity of ring structures in the control space of complex oscillators. - Chaos, 31, 10, 101102.
https://doi.org/10.1063/5.0066877

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Ramirez Avila, Gonzalo M.1, Autor              
Kurths, Jürgen1, Autor              
Gallas, Jason A. C.2, Autor
Affiliations:
1Potsdam Institute for Climate Impact Research, ou_persistent13              
2External Organizations, ou_persistent22              

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 Zusammenfassung: We report the discovery of two types of stability rings in the control parameter space of a vertical-cavity surface-emitting semiconductor laser. Stability rings are closed parameter paths in the laser control space. Inside such rings, laser stability thrives even in the presence of small parameter fluctuations. Stability rings were also found in rather distinct contexts, namely, in the way that cancerous, normal, and effector cells interact under ionizing radiation and in oscillations of an electronic circuit with a junction-gate field-effect transistor (JFET) diode. We argue that stability-enhancing rings are generic structures present in the control parameter space of many complex systems. Recently, high-performance computer clusters combined with reliable numerical methods have been revealing a plethora of intricate structures in stability diagrams of several complex nonlinear oscillators. This paper reports two types of stability rings observed in three rather unalike dynamical systems, namely, in the control parameter space of a state-of-the-art model of a vertical-cavity surface-emitting semiconductor laser, in a model of the dynamics of cancerous cells subjected to ionizing radiation, and in the inductor-based Hartley electronic circuit with a JFET and the usual tapped coil. Here, selected control parameter planes of these three complex oscillators are shown to display rings, i.e., closed parameter paths, formed by periodic oscillations along which the number of spikes per period remains constant or not. The existence of such stability rings cannot be predicted theoretically due to the total absence of an adequate framework to solve analytically coupled nonlinear differential equations. However, stability rings should not be difficult to validate experimentally. We believe stability rings to be generic structures present in the control parameter space of many other complex systems underlying important applications.

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Sprache(n): eng - Englisch
 Datum: 2021-10-042021-10
 Publikationsstatus: Final veröffentlicht
 Seiten: 6
 Ort, Verlag, Ausgabe: -
 Inhaltsverzeichnis: -
 Art der Begutachtung: Expertenbegutachtung
 Identifikatoren: DOI: 10.1063/5.0066877
MDB-ID: No data to archive
PIKDOMAIN: RD4 - Complexity Science
Organisational keyword: RD4 - Complexity Science
Research topic keyword: Complex Networks
Research topic keyword: Nonlinear Dynamics
Working Group: Network- and machine-learning-based prediction of extreme events
 Art des Abschluß: -

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Titel: Chaos
Genre der Quelle: Zeitschrift, SCI, Scopus, p3
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Seiten: - Band / Heft: 31 (10) Artikelnummer: 101102 Start- / Endseite: - Identifikator: CoNE: https://publications.pik-potsdam.de/cone/journals/resource/180808
Publisher: American Institute of Physics (AIP)