scholarly journals Coupling strength versus coupling impact in nonidentical bidirectionally coupled dynamics

2017 ◽  
Vol 95 (1) ◽  
Author(s):  
Petroula Laiou ◽  
Ralph G. Andrzejak
2016 ◽  
Vol 26 (01) ◽  
pp. 1650005 ◽  
Author(s):  
Vivek Kohar ◽  
Behnam Kia ◽  
John F. Lindner ◽  
William L. Ditto

We study the effect of additive colored noise on the evolution of maps and demonstrate that the deviations caused by such noise can be reduced using coupled dynamics. We consider both Ornstein–Uhlenbeck process as well as [Formula: see text] noise in our numerical simulations. We observe that though the variance of deviations caused by noise depends on the correlations in the noise, under optimal coupling strength, it decreases by a factor equal to the number of coupled elements in the array as compared to the variance of deviations in a single isolated map. This reduction in noise levels occurs in chaotic as well as periodic regime of the maps. Lastly, we examine the effect of colored noise in chaos computing and find that coupling the chaos computing elements enhances the robustness of chaos computing.


2012 ◽  
Vol 85 (4) ◽  
Author(s):  
Xuanmin Zhu ◽  
Yuxiang Zhang ◽  
Quanhui Liu ◽  
Shengjun Wu

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Mustafa A. Amin ◽  
Andrew J. Long ◽  
Zong-Gang Mou ◽  
Paul M. Saffin

Abstract We investigate the production of photons from coherently oscillating, spatially localized clumps of axionic fields (oscillons and axion stars) in the presence of external electromagnetic fields. We delineate different qualitative behaviour of the photon luminosity in terms of an effective dimensionless coupling parameter constructed out of the axion-photon coupling, and field amplitude, oscillation frequency and radius of the axion star. For small values of this dimensionless coupling, we provide a general analytic formula for the dipole radiation field and the photon luminosity per solid angle, including a strong dependence on the radius of the configuration. For moderate to large coupling, we report on a non-monotonic behavior of the luminosity with the coupling strength in the presence of external magnetic fields. After an initial rise in luminosity with the coupling strength, we see a suppression (by an order of magnitude or more compared to the dipole radiation approximation) at moderately large coupling. At sufficiently large coupling, we find a transition to a regime of exponential growth of the luminosity due to parametric resonance. We carry out 3+1 dimensional lattice simulations of axion electrodynamics, at small and large coupling, including non-perturbative effects of parametric resonance as well as backreaction effects when necessary. We also discuss medium (plasma) effects that lead to resonant axion to photon conversion, relevance of the coherence of the soliton, and implications of our results in astrophysical and cosmological settings.


2021 ◽  
Author(s):  
Martijn Hermans ◽  
Marina Astudillo Pascual ◽  
Thilo Behrends ◽  
Wytze K. Lenstra ◽  
Daniel J. Conley ◽  
...  

2020 ◽  
Vol 2 (1) ◽  
Author(s):  
Isabella Boventer ◽  
Christine Dörflinger ◽  
Tim Wolz ◽  
Rair Macêdo ◽  
Romain Lebrun ◽  
...  
Keyword(s):  

2020 ◽  
Vol 65 (7) ◽  
pp. 1573-1593 ◽  
Author(s):  
Pier Luigi Segatto ◽  
Tom J. Battin ◽  
Enrico Bertuzzo

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