This paper presents the high order frequency-amplitude relationship for nonlinear transversely vibrating beams with odd and even nonlinearities, using Homotopy Perturbation Method with an auxiliary term (HPMAT). The governing equations of vibrating buckled beam, beam carrying an intermediate lumped mass, and quintic nonlinear beam are investigated to exhibit the reliability and ability of the p...

We study the intermittent fluorescence of a single molecule, jumping from the ”light on” to the ”light off” state, as a Poisson process modulated by a fluctuating environment. We show that the quasi-periodic and quasi-deterministic environmental fluctuations make the distribution of the times of sojourn in the ”light off” state depart from the exponential form, and that their succession in time...

We present an experimentally feasible scheme to create single photons deterministically out of a non-deterministic spontaneous parametric downconversion source. We give an efficiency analysis of obtaining exactly one photon in the output. Furthermore, we experimentally demonstrate a way to control the purity of an output photon using a partial measurement of a polarization-entangled photon pair...

In this paper, a new fractional sub-equation method is proposed for finding exact solutions of fractional partial differential equations (FPDEs) in the sense of modified Riemann-Liouville derivative. With the aid of symbolic computation, we choose the space-time fractional Zakharov-Kuznetsov-Benjamin-Bona-Mahony (ZKBBM) equation in mathematical physics with a source to illustrate the validity a...

Chaos is an aperiodic long-term behavior in a deterministic system that exhibits sensitively dependent on initial conditions. There are three keywords in this definition, i.e. “aperiodic long-term behavior”, “deterministic” and “sensitive dependence on initial conditions”. “Aperiodic long-term behavior” means that the system’s trajectory in phase space does not settle down to any fixed points, ...

We present a chaotic frequency-modulated microwave source that is governed by a simple, first-order nonlinear delay differential equation. When a sinusoidal nonlinearity is incorporated, the dynamical behaviors range from fixed-point to periodic to chaotic, depending on the feedback strength. When the sinusoidal nonlinearity is replaced by a binary nonlinearity, the system exhibits a complex pe...

An understanding of the global migration dynamics of highly pathogenic avian influenza A(H5N1) virus is helpful for surveillance and disease prevention. To characterize the migration network of this virus, we used genetic analysis, which supported a global persistence model in which each of 9 regions acts to some extent as a source. Siberia is the major hub for the dispersal of the virus. South...

A common radiometric platform for the development of application-specific metrics to quantify the performance of sensors and systems is described. Using this platform, sensor and system performance may be quantified in terms of the accuracy of measurements of standardized sets of source distributions. The prototype platform consists of spectrally programmable light sources that can generate com...

Mathematical content is a valuable information source and retrieving this content has become an important issue. This paper compares two searching strategies for math expressions: presentation-based and content-based approaches. Presentation-based search uses state-ofthe-art math search system while content-based search uses semantic enrichment of math expressions to convert math expressions in...

This paper describes periodic error in differentialpath interferometry using a Frequency-Path model of the propagation of light from the source to detector in differentialpath interferometers. The model identifies each possible path for each light frequency from the source to detector and predicts the number of interference terms that may be expected at the detector output. The behavior of all ...