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Visualizzazione post con etichetta coupled oscillators. Mostra tutti i post
Visualizzazione post con etichetta coupled oscillators. Mostra tutti i post

venerdì 28 febbraio 2025

# gst: apropos of the impact of noise, stochastic Kuramoto oscillators with inertia and higher-order interactions.

<< The impact of noise in coupled oscillators with pairwise interactions has been extensively explored. Here, (AA) study stochastic second-order coupled Kuramoto oscillators with higher-order interactions and show that as noise strength increases, the critical points associated with synchronization transitions shift toward higher coupling values. By employing the perturbation analysis, (They) obtain an expression for the forward critical point as a function of inertia and noise strength. Further, for overdamped systems, (AA) show that as noise strength increases, the first-order transition switches to second-order even for higher-order couplings. >>
Priyanka Rajwani, Sarika Jalan. Stochastic Kuramoto oscillators with inertia and higher-order interactions. Phys. Rev. E 111, L012202. Jan 13, 2025.

Also: noise, transition, in https://www.inkgmr.net/kwrds.html 

Keywords: gst, noise, transition, coupled oscillators, synchronization transition


martedì 7 settembre 2021

# gst: drift motion of two-core spiral chimeras (grouped into 3 main classes, symmetrical, asymmetrical, and meandering spiral)

AA << consider a two-dimensional array of heterogeneous nonlocally coupled phase oscillators on a flat torus and study the bound states of two counter-rotating spiral chimeras, shortly two-core spiral chimeras, observed in this system. In contrast to other known spiral chimeras with motionless incoherent cores, the two-core spiral chimeras typically show a drift motion. Due to this drift, their incoherent cores become spatially modulated and develop specific fingerprint patterns of varying synchrony levels. >>

Numerical analysis of Ott-Antonsen equation allows << to reveal the stability region of different spiral chimeras, which (AA) group into three main classes—symmetric, asymmetric, and meandering spiral chimeras. >>️

Martin Bataille-Gonzalez, Marcel G. Clerc, Oleh E. Omel'chenko. Moving spiral wave chimeras. Phys. Rev. E 104, L022203 (Letter). Aug 20, 2021.


Also (Ott-Antonsen equation)

<< Synchronization in Nature. 
Generic behavior involving a large  ensemble of nearly identical oscillators that are weakly coupled. 
- Cellular clocks in the brain.
- Pacemaker cells in the heart.
- Flashing fire flies.
- Deep Brain Stimulation (DBS) treatment for  Parkinson’s. 
- Pedestrians on a bridge.
- Many more. 
>>
Steven  Strogatz

Thomas M. Antonsen Jr. and Edward Ott. Synchronization: What can a plasma physicis say about generic collective behavior? (Happy Birthday Nat!) (Presentation). In: Solved and Unsolved Problems In Plasma Physics. Symposium. Princeton, New Jersey. Mar 28-30, 2016. 



lunedì 28 giugno 2021

# gst: synchronous dynamics by uncorrelated noise

<< Synchronization is a widespread phenomenon observed in physical, biological, and social networks, which persists even under the influence of strong noise. Previous research on oscillators subject to common noise has shown that noise can actually facilitate synchronization, as correlations in the dynamics can be inherited from the noise itself. However, in many spatially distributed networks, such as the mammalian circadian system, the noise that different oscillators experience can be effectively uncorrelated. >>️

<< Here, (AA) show that uncorrelated noise can in fact enhance synchronization when the oscillators are coupled. Strikingly, (their) analysis also shows that uncorrelated noise can be more effective than common noise in enhancing synchronization. >>️

Zachary G. Nicolaou, Michael Sebek, et al. Coherent Dynamics Enhanced by Uncorrelated Noise. Phys. Rev. Lett. 125, 094101. Aug 24, 2020  



Also

keyword 'error' | 'fuzzy' | 'noise'  in FonT 




keywords 'errore' | 'errori' in Notes (quasi-stochastic poetry)



keywords 'jelly roll' in Notes (quasi-stochastic poetry)