– This paper introduces a novel approach to the analysis and classification of time series signals using statistical models of reconstructed phase spaces. With sufficient dimension, such reconstructed phase spaces are, with probability one, guaranteed to be topologically equivalent to the state dynamics of the generating system, and therefore may contain information that is absent in analysis a...

BACKGROUND The transoral approach to the parapharyngeal and retropharyngeal space (PPS/RPS) for the management of well-differentiated thyroid carcinoma (WDTC) has been previously described in other articles. However, limited exposure with this approach can be a challenge. METHODS This is a retrospective review of 6 patients who underwent ultrasound-guided transoral excision of PPS/RPS WDTC me...

Embeddings are diffeomorphisms between some dynamical phase space and a reconstructed image. Different embeddings may or may not be equivalent under isotopy. We regard embeddings as representations of the dynamical phase space. We determine the topological labels required to distinguish inequivalent representations of three-dimensional dissipative dynamical systems when the embeddings are into ...

Longitudinal particle motion in circular accelerators is typically monitored by one dimensional (1-D) profiles. Adiabatic particle motion in two dimensional (2-D) phase space can be reconstructed with tomographic techniques, using 1-D profiles. A computer program RADON has been developed in C++ to process digitized mountain range data and perform the phase space reconstruction for the AGS, and ...

An embedding of chaotic data into a suitable phase space creates a diffeomorphism of the original attractor with the reconstructed attractor. Although diffeomorphic, the original and reconstructed attractors may not be topologically equivalent. In a previous work, we showed how the original and reconstructed attractors can differ when the original is three-dimensional and of genus-one type. In ...

Based on phase space reconstruction and fractal dynamics in nonlinear dynamics, a method is proposed to extract and analyze the dynamics of the rotating stall in the impeller of centrifugal compressor, and some numerical examples are given to verify the results as well. First, the rotating stall of an existing low speed centrifugal compressor (LSCC) is numerically simulated, and the time series...

Enteropathogenic Yersinia sp. releases plasmid-associated proteins of low molecular mass (26-67 kilodaltons) at 37 degrees C. In this study, the optimum conditions for the release of proteins were assessed and the released proteins (RPs) were analyzed for the manner of release, immunochemical characteristics, and the location of the genes necessary for their synthesis. Protein release was stron...

We perform a numerical study of the unitary regime as function disorder concentration in imaginary part elastic scattering cross-section for compound $Sr_2RuO_4$ flat band non-disperse limit. By using self-consistent tight-binding (TB) method, we find couple families Wigner probabilistic functions that help to explain macroscopically distribution between Fermion dressed quasiparticles and Coope...