Indicating the synchronization bifurcation points using the early warning signals in two case studies: Continuous and explosive synchronization

Bahareh Karimi Rahjerdi, Ramesh Ramamoorthy, Fahimeh Nazarimehr, Karthikeyan Rajagopal and Sajad Jafari

Chaos, Solitons & Fractals, 2022, vol. 164, issue C

Abstract: Synchronization is one of the interesting collective behaviors of oscillators. It refers to a phenomenon in which some dynamically connected systems behave the same. In dynamic systems, as the bifurcation points of the system approach, the system slows down and returns to its steady-state later with a slight disturbance. The system's slowness before bifurcation points is called critical slowing down, which can be measured using early warning (EW) indicators. This paper considers two dynamic systems: the Kuramoto model and the Rössler system. Two networks are considered to show continuous and explosive synchronization in each system. Then the synchronization bifurcation point (SBP) of each case is indicated using the EW signals calculated using the time series of synchronization measures. EW signals measure the slowness in the synchronous benchmark time series. Two EW signals, skewness and kurtosis, are applied. The results show that the SBPs in various cases and systems can be predicted using the EW signals.

Keywords: Continuous synchronization; Explosive synchronization; Early warning (EW) signal; Synchronization bifurcation point (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:164:y:2022:i:c:s0960077922008359

DOI: 10.1016/j.chaos.2022.112656

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