Enhanced synchronizability via age-based coupling

Lu, Yufeng; Zhao, Ming; Zhou, Tao; Wang, Bing–Hong

doi:10.1103/physreve.76.057103

Cited by 20 publications

(18 citation statements)

References 25 publications

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“…In ref. [22], the ballistic diffusion is observed when the noise is in the region of green noise for small τ 2 and large τ 1 . In the following discussion, the noise is chosen in such a region to find whether the anomalous diffusion can also be found in the model of active Brownian particles.…”

Section: Dynamical Modelmentioning

confidence: 90%

“…There are many different theories reflecting a variety of underlying physical mechanism and one of the fundamental approaches is based on the generalized Langevin equation. It has been reported that the diffusion can be evaluated by the mean square displacement 〈∆ 2 ( )〉 ∝ , a subdiffusion for 0<α<1, a normal diffusion for α=1, a superdiffusion for α>1, and a ballistic diffusion for α=2 [20][21][22]. So far, most of the models deal with Brownian motion cases in a periodic potential, while the anomalous diffusion in active Brownian particles needs to be investigated.…”

Section: Introductionmentioning

confidence: 99%

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Transport of Active Brownian Motors Driven by a Thermal Broadband Noise

Zhu¹,

Qian²,

Wu³

2019

dtcse

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The transport properties of active Brownian particles driven by a thermal broadband noise are investigated. The effects of the noise correlation time and the bias on the diffusion and the mean velocity are discussed. It is found that the noise correlation time reduces the ballistic, while the bias enhances the ballistic. The mean velocity decreases as the correlation time increased while for large bias.

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Section: Dynamical Modelmentioning

confidence: 90%

Section: Introductionmentioning

confidence: 99%

Transport of Active Brownian Motors Driven by a Thermal Broadband Noise

Zhu¹,

Qian²,

Wu³

2019

dtcse

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“…Now we choose x 1 , y 1 coordinates for dTOS whereas y 1 coordinate in case of mTOS for the interactions and assume that the coupling term vanishes at g  ¥. Hence, equations (12) and (13), become equations (14) and (15), and equations (16) and (17), respectively (same as discussed for equation (3)):…”

Section: Drive-response In Case Of Tosmentioning

confidence: 99%

“…Equations (14) and (15), depict that for dTOS, x 2 and y 2 depend only on their respective missing components as x 1 1 only drives x 2 and y 1 1 only drives y 2 which is similar to equation (3). On the other hand, equation (16), shows that in case of mTOS both x 2 and y 2 are driven by same y 1…”

Section: Drive-response In Case Of Tosmentioning

confidence: 99%

Enhancement of network synchronizability via two oscillatory system

Singh

2018

J. Phys. Commun.

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Network's synchronization destabilizes at large coupling strength when its nodes exchange information by scalar coupling (few coordinates) instead of using vector coupling (all coordinates). This issue is commonly tackled by modifying the network topology like a ring network to Small World or Scale Free networks which increases the coupling cost and decreases the robustness. In the present work, we show that without any structural alteration even a large ring network in the nearest neighborhood configuration using only a single coordinate in the coupling, could be made synchronizable. The primary condition is that the node dynamics should be given by a pair of oscillators (say, two oscillatory system TOS) rather than by a conventional way of single oscillator (say, single oscillatory system). It has been found that TOS not only stabilizes the chaotic synchronization but also the hyperchaotic synchronization manifold (a major challenge in the field of secure communication wherein multi parameter BK method is needed). The frameworks of drive-response system and master stability function have been used to study the TOS effect by varying TOS parameters with and without feedback (feedback means quorum sensing conditions). The TOS effect has been found numerically both in the chaotic (Rössler, Chua and Lorenz) and hyperchaotic (electrical circuit) systems. However, since threshold also increases as a side effect of TOS, the extent of β enhancement depends on the choice of oscillator model like larger for Rössler, intermediate for Chua and smaller for Lorenz. dsyn g ) limit the size of a synchronizable network, e.g. the synchronized state of a ring network having x 1 -coupled chaotic Rössler becomes unstable with the increase in N from 18 to 19 at dsyn g = 1.5. To tackle this issue of limited values of dsyn g , the network modification methods are generally used such as (1) adding the additional edges between the nodes deterministically (Pristine World) or/and stochastically (Small World) [5], (2) modifying the ring network topology to a synchronizable topology like a unidirectional tree network or a star network (a hub of Scale Free network) [6][7][8]. Practically these modifications could be considered as the distribution of overload among the nodes and theoretically these alterations imply the minimization of eigen-ratio (R) of the Laplacian/ coupling matrix (largest eigenvalue to the smallest nonzero eigenvalue). The concept of R minimization comes from the theory of master stability function (MSF) [9] which says that a complex network of size N is

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“…Understanding and controlling this collective dynamics is of both theoretical and practical significance [1,2]. Many methods have been proposed to enhance the network synchronizability, including the redistribution of the coupling strengths [3][4][5][6][7][8], the modification of the network structure [9][10][11][12][13], the flipping of link directionality [14][15][16][17] and so on. Each group of methods has its specific range of applications since different systems are under different technical constraints.…”

Section: Introductionmentioning

confidence: 99%

Manipulating directed networks for better synchronization

2012

Self Cite

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In this paper, we studied the strategies to enhance synchronization on directed networks by manipulating a fixed number of links. We proposed a centrality-based manipulating (CBM) method, where the node centrality is measured by the well-known PageRank algorithm. Extensive numerical simulation on many modeled networks demonstrated that the CBM method is more effective in facilitating synchronization than the degree-based manipulating method and the random manipulating method for adding or removing links. The reason is that the CBM method can effectively narrow the incoming degree distribution and reinforce the hierarchical structure of the network. Furthermore, we apply the CBM method to the links rewiring procedure where at each step one link is removed and one new link is added. The CBM method helps to decide which links should be removed or added. After several steps, the resulting networks are very close to the optimal structure from the theoretical analysis and the evolutionary optimization algorithm. The numerical simulations on the Kuramoto model further demonstrate that our method has an advantage in shortening the convergence time to synchronization on directed networks.

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Enhanced synchronizability via age-based coupling

Cited by 20 publications

References 25 publications

Transport of Active Brownian Motors Driven by a Thermal Broadband Noise

Transport of Active Brownian Motors Driven by a Thermal Broadband Noise

Enhancement of network synchronizability via two oscillatory system

Manipulating directed networks for better synchronization

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