In this paper we report results on synchronization of two simple four-dimensional hyperchaotic electronic circuit by means of the linear coupling method. We prove analytically that using appropriate coupling these hyperchaotic systems synchronizes for all initial conditions. In simulations we observe that synchronization is also possible when the systems are coupled using only one variable. Thi...

Besides being a hard combinatorial problem, the VRP is also a spatial problem. Hence, effective decision making in this field strongly requires the integration of GIS and optimization systems (GIS-O). This article integrates GIS and optimization tools for solving the vehicle routing problem with loading and distance requirements (DCVRP). A general outline of the multi-step integration is pointe...

In this paper, the asymptotic behavior of coupled second-order nonlinear dynamical systems is studied. Conditions on the coupling parameters that guarantee synchronization between these systems are provided for every solution starting in a positively invariant region of initial conditions.

We present a general theory for the intermediate temperature (T ) properties of Heisenberg antiferromagnets of spin-S ions on p-leg ladders, valid for 2Sp even or odd. Following an earlier proposal for 2Sp even (Damle and Sachdev, Phys. Rev. B 57, 8307), we argue that an integrable, classical, continuum model of a fixed-length, 3-vector applies over an intermediate temperature range; this range...

We study the tail bound of the emperical covariance of multivariate normal distribution. Following the work of (Gittens & Tropp, 2011), we provide a tail bound with a small constant. 1 Main result Let {ξk : k = 1 · · ·n} follow multivariate normal distribution Nd(0, C). The scatter matrix S = ∑n k=1 ξkξ > k follows Wishart distribution, Wd(n,C). The estimate of C is 1 nS. The tail bound of S ha...

We study the impact of the QCD DGLAP evolution on the geometric scaling of the gluon distributions which is expected to hold at small x within the saturation models. To this aim we solve the DGLAP evolution equations with the initial conditions provided along the critical line Q2 = Qs(x) with Q 2 s(x) ∼ x and satisfying geometric scaling. Both fixed and running coupling cases are studied. We sh...

Energy estimates show that linearized thermo-elasticity deenes a contraction semi-group on a Hilbert space. We show that under a geometric condition this contraction is not strict, or, more precisely, the norm of the semi group is 1 for all t 0. Convex domains always satisfy the geometric condition. 2. introduction Let R n be a bounded domain with smooth boundary ?. We consider the problem @ 2 ...

In this article, we review the present status and problems and future prospects of long-range forecasts of Indian summer monsoon. Since 1988, the India Meteorological Department has been issuing forecasts based on 16-parameter power regression and parametric models. All these forecasts are proved to be reasonably correct. However, in some years, forecast error was larger than the model error of...

The importance of pulse-coupled oscillators (PCOs) in biology and engineering has motivated research to understand basic properties of PCO networks. Despite the large body of work addressing PCOs, a global synchronization result for networks that are more general than all-to-all connected is still unavailable. In this paper we address global synchronization of PCO networks described by cycle gr...

We obtain effective equations of inflationary dynamics for the mean inflaton and metric fields – expectation values in the no-boundary and tunneling quantum states of the Universe. The equations are derived in the slow roll approximation taking the form of the local Schwiger-DeWitt expansion. In this approximation effective equations follow from the Euclidean effective action calculated on the ...