We uncover a solvable generalization of the Kuramoto model in which shears (or nonisochronicities) and natural frequencies are distributed and statistically dependent. We show that the strength and sign of this dependence greatly alter synchronization and yield qualitatively different phase diagrams. The Ott-Antonsen ansatz allows us to obtain analytical results for a specific family of joint d...

Abstract Peaks-over-threshold analysis using the generalised Pareto distribution is widely applied in modelling tails of univariate random variables, but much information may be lost when complex extreme events are studied results. In this paper, we extend peaks-over-threshold to extremes functional data. Threshold exceedances defined a r modelled by r-Pareto process, generalisation that covers...

RATIONALE, AIMS AND OBJECTIVES The basic single-group interrupted time series analysis (ITSA) design has been shown to be susceptible to the most common threat to validity-history-the possibility that some other event caused the observed effect in the time series. A single-group ITSA with a crossover design (in which the intervention is introduced and withdrawn 1 or more times) should be more r...

Since wild birds are the major natural reservoir for all known influenza A viruses, understanding the ecology of avian influenza (AI) viruses circulating in wild birds is critical to predicting disease risk in wild and domestic birds and preventing transmission to humans. AI virus which is shed by infected birds into aquatic environments plays a pivotal role in the sustained transmission of AI....

Abstract: Combining iterative schemes with suitable preconditioners may improve the rate of the convergence of the methods. However, the real difficulty lies in the construction of the correct preconditioners applied to the formulated schemes. In this paper, the Modified Explicit Decoupled Group Successive Over-Relaxation method is formulated to solve the two dimensional steady-state Navier-Sto...

For an n-variate order-d tensor A, define Amax := sup‖x‖2=1〈A, x ⊗d〉 to be the maximum value taken by the tensor on the unit sphere. It is known that for a random tensor with i.i.d. ±1 entries, Amax . √ n · d · log d w.h.p. We study the problem of efficiently certifying upper bounds on Amax via the natural relaxation from the Sum of Squares (SoS) hierarchy. Our results include: When A is a rand...

BACKGROUND We aimed to evaluate empirically how crossover trial results are analysed in meta-analyses of randomized evidence and whether their results agree with parallel arm studies on the same questions. METHODS We used a systematic sample of Cochrane meta-analyses including crossover trials. We evaluated the methods of analysis for crossover results and compared the concordance of the esti...

In this paper, we carry out a simulation of a Radio over Fiber (RoF) link with VPI Transmission Maker, and Rohde&Schwarz (R&S) equipments. The VPI simulations perform optical path degradations for multiple radio modulation formats without using any specific radio numerical tools, while a Generator and a Vector Analyser are used for radio generation and reception.