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Exploring synchronized oscillations in Kuramoto-type oscillators with nonlinear feedback

Authors: Dey, Arpan;

Exploring synchronized oscillations in Kuramoto-type oscillators with nonlinear feedback

Abstract

Synchronization is a hallmark of complex systems, emerging from the interplay of randomness, coupling and nonlinear dynamics. In this project, we explore synchronization in a system of coupled oscillators using the Kuramoto model, with an additional nonlinear feedback term. We examine how frequency distributions, coupling strength and network topology influence synchronization. We study the time series of the phases of the oscillators for fully-connected and loosely-connected networks, and also for different lattices (toroidal, square and hexagonal). We also investigate cluster synchronization arising from multimodal frequency distributions. Together, these results show how randomness (in the initial phases and frequencies of the oscillators), combined with coupling and nonlinear feedback, gives rise to rich collective behavior.

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Keywords

Nonlinear feedback, Nonlinear dynamics, Synchronized oscillations, Synchronization, Kuramoto oscillators, Coupled oscillators

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green