most citedMulti-state epidemic processes on complex networks

86 citations

6 papers

cond-mat.stat-mech200511 cited

Generating functional analysis of CDMA detection dynamics

Kazushi Mimura, Masato Okada

We investigate the detection dynamics of the parallel interference canceller (PIC) for code-division multiple-access (CDMA) multiuser detection, applied to a randomly spread, fully…

math.PR200510 cited

Rigorous results on the threshold network model

Norio Konno, Naoki Masuda, Rahul Roy +1

We analyze the threshold network model in which a pair of vertices with random weights are connected by an edge when the summation of the weights exceeds a threshold. We prove some…

cond-mat.dis-nn200586 cited

Multi-state epidemic processes on complex networks

Naoki Masuda, Norio Konno

Infectious diseases are practically represented by models with multiple states and complex transition rules corresponding to, for example, birth, death, infection, recovery, diseas…

cond-mat.dis-nn200546 cited

VIP-club phenomenon: emergence of elites and masterminds in social networks

Naoki Masuda, Norio Konno

Hubs, or vertices with large degrees, play massive roles in, for example, epidemic dynamics, innovation diffusion, and synchronization on networks. However, costs of owning edges c…

math.OC2004

Adaptation and nonlinear parametrization: nonlinear dynamics prospective

Ivan Tyukin, Cees van Leeuwen

We consider adaptive control problem in presence of nonlinear parametrization of uncertainties in the model. It is shown that despite traditional approaches require for domination…

math.OC2004

Adaptive Regulation to Invariant Sets

Ivan Tyukin, Denis Efimov, Cees van Leeuwen

A new framework for adaptive regulation to invariant sets is proposed. Reaching the target dynamics (invariant set) is to be ensured by state feedback while adaptation to parametri…