A method for controlling low-order chaotic behavior of continuous spatiotemporal systems is developed and demonstrated in a complex, realistic 3D partial differential equation model that is used successfully for predicting El Niño events in the equatorial Pacific. An unstable periodic orbit that involves a full-domain oscillation is stabilized using a feedback control applied to a single degree...

Introduction 2D phase contrast (PC) CMR is currently the standard clinical imaging sequence for evaluation of blood flow [1]. Recently, 3D time-resolved PC CMR (4D-PC) has been used for quantification and visualization of blood flow in all three directions of a volume [2]. However, such acquisitions require long scan times (often 10-20 minutes), which reduces its clinical feasibility and leads ...

introduction: in this paper, a novel complexity measure is proposed to detect dynamical changes in nonlinear systems using ordinal pattern analysis of time series data taken from the system. epilepsy is considered as a dynamical change in nonlinear and complex brain system. the ability of the proposed measure for characterizing the normal and epileptic eeg signals when the signal is short or is...

Phase retrieval algorithms, including the iterative transform algorithm and gradient search algorithms, were generalized to include the effects of propagation through a complicated optical system and to discount the effects of bad CCD pixels. For the gradient search algorithms, analytic gradients were derived that greatly speed up the computation over finite difference methods. For the Hubble S...

I study the structural organization and correlations in very large packings of equally sized spheres, reconstructed in three dimensions with x-ray computed tomography. I show that the geometrical structure can be conveniently studied as a packing of irregular tetrahedra with volume distribution that must decay exponentially with parameters controlled by the conditions of mechanical stability, n...

Recently, spatial encoding with nonlinear magnetic fields has drawn attention for its potential to achieve faster gradient switching within safety limits, tailored resolution in regions of interest, and improved parallel imaging using encoding fields that complement the sensitivity profiles of radio frequency receive arrays. Proposed methods can broadly be divided into those that use phase enco...

In this paper, the authors propose a new technique for classification of seizures, non-seizures, and seizure-free EEG signals based on non-linear trajectories signals. The are decomposed using EMD to obtain intrinsic mode functions (IMFs). phase space these IMFs is then reconstructed novel higher-order dimensions (3D, 4D, 5D, 6D, 7D, 8D, 9D, 10D). existing techniques seizure detection have depl...

Standard, MR spin-warp sampling strategies acquire data on a rectangular k-space grid. That method samples data from the "corners" of k-space, i.e., data that lie in a region of k-space outside of an ellipse just inscribed in the rectangular boundary. Illustrative calculations demonstrate that the data in the corners of k-space contribute to the useful resolution only if an interpolation method...

The subject of space charge in ionisation detectors is reviewed, with particular attention to the case liquid argon time projection chambers. Analytical and numerical description effects on reconstructed coordinates along drift transverse directions are presented. cases limited electron lifetime, dual-phase ion feedback, small comparable ratio between length width considered. Two design solutio...