In the spin-boson model, a continued fraction form is proposed to systematically resum high-order quantum kinetic expansion (QKE) rate kernels, accounting for the bath relaxation effect beyond the second-order perturbation. In particular, the analytical expression of the sixth-order QKE rate kernel is derived for resummation. With higher-order correction terms systematically extracted from high...

In this paper, the MagnetoHydroDynamic (MHD) boundary layer flow over a nonlinear porous stretching sheet is investigated by employing the Homotopy Perturbation Transform Method (HPTM) and the Pade ́ approximation. The numerical solution of the governing non-linear problem is developed. Comparison of the present solution is made with the existing solution and excellent agreement is noted. Graphi...

The purpose of this study is to model the transient response of conductivity-based gas sensors in the context of odor recognition with an electronic nose. Commonly, only the steady-state response of the sensor is used for pattern recognition, ignoring the transient response, which conveys useful discriminatory information. The transient response is modeled as a sum of real exponential functions...

This paper proposes a new iterative algorithm for OFDM joint data detection and phase noise (PHN) cancellation based on minimum mean square prediction error. We particularly highlight the relatively less studied problem of “overfitting” such that the iterative approach may converge to a trivial solution. Specifically, we apply a hard decision procedure at every iterative step to overcome the ov...

Analogues of the Nuttall-Pommerenke theorem and Wallin-type theorems for classical Pade approximants, are proved for linear and nonlinear Pade approximants formed from series of orthogonal polynomials, corresponding to a distribution da(x) with at most finitely many sign changes.

ISSN 2277 5048 | © 2013 Bonfring Abstract--Mixed method of interval systems is a combination of classical reduction methods and stability preserving methods of interval systems. This paper proposed a new method for model order reduction of systems with uncertain parameters. The bounds on the uncertain parameters are known a priori. Two separate methods are used for finding parameters of the num...

In this paper, the modern nonlinear theory is applied to a third order phase locked loop (PLL) with feedback time delay. Due delay, different behaviors that are not accounted for in conventional PLL model identified, namely, oscillatory instability, periodic doubling and chaos. Firstly, Pade approximation used delay where it utilized deriving state space representation of under investigation. T...

The RG functions of the 2D n-vector λφ4 model are calculated in the five-loop approximation. Perturbative series for the β-function and critical exponents are resummed by the Pade-Borel and Pade-Borel-Leroy techniques, resummation procedures are optimized and an accuracy of the numerical results is estimated. In the Ising case n = 1 as well as in the others (n = 0, n = −1, n = 2, 3, ...32) an a...

Solving a non-linear differential equation most times is difficult and requires some technicalities. Many semi-analytical methods were derived in literature to provide series solution problem, with each method giving level of accuracy when compared their equivalent exact (or numerical case does not exist). Thus, system ordinary equations (ODEs) arising from formulated Susceptible-Infected-Quara...