In this article, we analyse bifurcations from stationary stable spots to travelling spots in a planar three-component FitzHugh–Nagumo system that was proposed previously as a phenomenological model of gas-discharge systems. By combining formal analyses, center-manifold reductions, and detailed numerical continuation studies, we show that, in the parameter regime under consideration, the station...

Abstract Protein interactions, key to many biological processes, involves induced fit between flexible proteins which typically undergo conformational changes. Modeling this flexible protein-protein docking is an important step in drug discovery, structure determination and understanding structure-function relationships. In this paper, we present F3Dock, a Fast Flexible and Fourier based dockin...

In commonly used approaches for the discrete-time bulk service queue, the stationary queue length distribution follows from the roots inside or outside the unit circle of a characteristic equation. We present analytic representations of these roots in the form of sample values of periodic functions with analytically given Fourier series coefficients, making these approaches more transparent and...

The purpose of this paper is to compare the efficacy of two algorithms used for denoising underwater acoustic signals affected by ambient noise. The two denoising techniques are, (i) Fourier Bessel (FB) expansion based denoising algorithm and (ii) Empirical Mode Decomposition (EMD)-Fourier Bessel (FB) based denoising algorithm. Sea water normally contains unwanted background noise called ambien...

This paper presents a novel test rig, developed to analyse the behaviour of rolling element bearings subjected to highly varying loads. The design is optimised to measure the bearing behaviour, free from dynamics of the surrounding structure. A test bearing is mounted in a floating housing supported by flexible air springs, providing a preload force on the bearing. This allows measuring the rig...

Characterizing signals jointly in the time and frequency domains through time-frequency representations (TFRs) such as the Wigner-Ville Distribution (WVD) is a natural extension of Fourier analysis and gives a more complete representation of signal behavior, particularly in the case of non-stationary signals. In the presence of additive impulsive noise, TFRs quickly break down and any informati...

BACKGROUND Heart rate variability (HRV) is a widespread non-invasive technique to assess cardiac autonomic function. Time and frequency domain analyses have been used in HRV studies, and their interpretations are linked with both clinical prognostic and diagnostic information. Statistical and geometrical parameters, Fast Fourier Transform and Autoregressive based periodograms are commonly used ...

We determine the (arithmetic) local monodromy at 0 and at ∞ of the Kloosterman sheaf using local Fourier transformations and Laumon’s stationary phase principle. We then calculate -factors for symmetric products of the Kloosterman sheaf. Using Laumon’s product formula, we get functional equations of L-functions for these symmetric products and prove a conjecture of Evans on signs of constants o...

We consider a large class of random walks on the discrete circle Z/(n), defined in terms of a piecewise Lipschitz function, and motivated by the “generation gap” process of Diaconis. For such walks, we show that the time until convergence to stationarity is bounded independently of n. Our techniques involve Fourier analysis and a comparison of the random walks on Z/(n) with a random walk on the...