Plasma and Fusion Research

Volume 18, 1401088 (2023)

Regular Articles

Observation of Intermittent Chaos Caused by Delayed Feedback in a Laboratory Plasma
Takao FUKUYAMA and Yutaro SUEYOSHI
Faculty of Education, Nagasaki University, 1-14 Bunkyo-machi, Nagasaki 852-8521, Japan
(Received 18 August 2023 / Accepted 26 October 2023 / Published 27 November 2023)

Abstract

In this study, experimental investigation was conducted on intermittent chaos caused by time-delayed feedback in the laboratory plasma. In a limit cycle with time-delayed feedback, a periodic system moved down the intermittency route to chaos, with the appearance of an increasing number of bursts that interfered with the laminar flow, as the feedback signal strength increased if an appropriate delay time was not selected. Analyses of the obtained time series revealed that the system with feedback has chaotic characteristics and that the shape of the recurrence plot differs from that of the turbulent state in which feedback is not applied. By observing the spatiotemporal structure, it was revealed that the system, which is in a periodic state both in time and space, transitions to a state of spatiotemporal chaos through the application of feedback. In this study, it was observed that the system undergoes intermittency, which leads to a chaotic state when time-delayed feedback is provided to nonlinear limit-cycle oscillations.

Keywords

chaos, limit-cycle, intermittency, controlling chaos, delayed feedback, ionization wave

DOI: 10.1585/pfr.18.1401088

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