https://doi.org/10.1140/epjp/s13360-024-04865-1
Regular Article
Tempered anomalous dynamics of globally coupled harmonic oscillators in the fluctuating potential field: stability, synchronism, and collective behaviors
1
College of Mathematics and Statistics, Chongqing University, 401331, Chongqing, China
2
College of Computer and Information Science, Chongqing Normal University, 401331, Chongqing, China
Received:
19
September
2023
Accepted:
4
January
2024
Published online:
19
January
2024
The investigation of tempered anomalous dynamics holds great significance in many fields. In this study, we propose a model of globally coupled harmonic oscillators with tempered Mittag–Leffler (M–L) memory kernel in the fluctuating potential field. By analyzing the stationary-state output amplitude of mean field, we reveal the existence of rich generalized stochastic resonance phenomena of collective behaviors under stability conditions. Moreover, we find that the system can achieve asymptotic synchronism under a more relaxed condition. Through numerical simulations, we verify the analytical results and discuss the impact of system parameters on collective behaviors. Additionally, by introducing the concepts of mean first stabilization time and mean first synchronization time, we delve deeper into the asymptotic process of system stabilization/synchronization and clearly observe the existence of noise-enhanced stabilization and synchronization.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
