Phase space reconstruction of financial time series has become an effective approach for financial system analysis. Since the phase space obtained by the traditional method had the large embedding dimension and was susceptible to noise, this paper proposed a novel phase space reconstruction approach based on manifold learning, called manifold learning-based phase space reconstruction (MLPSR), w...

here, we have considered the husimi and wigner distribution functions. we have, inparticular, shown how the uncertainty principle works for the two cases of simple and damped harmonicoscillators when either of these two distributions are used. the conclusion shows that the husimidistribution function remains non-negative through the phase space but it does not always satisfies theuncertainty pr...

Desired dynamics for physical systems can be synthesized from the phase-space geometric point of view. We have developed a phase-space method for synthesizing control strategies and implemented the method for a class of nonlinear dynamical systems. In this paper, we examine how the phase-space method can be applied to analyze and synthesize control laws for physical systems that exhibit distinc...

In this work an adaptive strategy for the phase space method [5] for traveltime tomography is developed. The method uses those geodesics/rays that produces smaller mismatch with the measurements first and continue on in the spirit of layer stripping without the need to specifically defining the layers physically. The adaptive approach improves stability, efficiency and accuracy. We then extend ...

A direct imaging algorithm for point and extended targets is presented. The algorithm is based on a physical factorization of the response matrix of a transducer array. The factorization is used to transform a passive target problem to an active source problem and to extract principal components (tones) in a phase consistent way. The multitone imaging function can superpose multiple tones (spat...

Creeping rays can give an important contribution to the solution of medium to high frequency scattering problems. They are generated at the shadow lines of the illuminated scatterer by grazing incident rays and propagate along geodesics on the scatterer surface, continuously shedding diffracted rays in their tangential direction. In this paper we show how the ray propagation problem can be form...

Numerical approaches are an indispensable part of endeavours to understand quantum many-body physics in condensed matter and AMO physics. In particular, there is a need for real-time, dynamical simulations, driven in large part by the progress in the control and flexibility of ultracold atom experiments, which has made the dynamically evolving quantum many-body state directly accessible. For bo...