Ubiquity of ring structures in the control space of complex oscillators

Gonzalo Marcelo Ramírez-Ávila, Jürgen Kurths, Jason A.C. Gallas

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

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.

Original languageEnglish
Article number101102
JournalChaos
Volume31
Issue number10
DOIs
StatePublished - 1 Oct 2021

Bibliographical note

Funding Information:
G.M.R.-A. acknowledges the German Academic Exchange Service for its support via the Re-invitation Program. J.K. was supported by the Russian Ministry of Science and Education (Agreement No. 075-15-2020-808). J.A.C.G. was partially supported by CNPq, Brazil, Grant No. 305305/2020-4. Bitmaps were computed on the PIK cluster, Potsdam, Germany, and the CESUP-UFRGS cluster of the Federal University in Porto Alegre, Brazil.

Publisher Copyright:
© 2021 Author(s).

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