scholarly journals THE QUAD SCHEME: A NEW METHOD FOR PHASE SPACE INTEGRATION.

1969 ◽  
Author(s):  
F.M. Mueller ◽  
J.W. Garland ◽  
M.H. Cohen ◽  
K.H. Bennemann
Keyword(s):  
Phase Space ◽  
New Method ◽  
Phase Space Integration

scholarly journals Families of Asteroids

1983 ◽  
Vol 74 ◽  
pp. 117-122
Author(s):  
Yoshihide Kozai
Keyword(s):  
Phase Space ◽  
New Method ◽  
Mean Motion ◽  
Families Of Asteroids

The numbered asteroids are classified into families by a new method proposed by the author(Kozai, 1979a) and their characteristics are studied by several aspects. It seems to the author that there are two kinds of the families, one being very compact in the phase space and containing many faint as well as a few bright asteroids and one being rather loose and bounded by secular and mean motion commensurable regions.

scholarly journals Research on Algorithm of Extracting PPG Signal for Detecting Atrial Fibrillation based on Probability Density Function

2015 ◽  
Vol 9 (1) ◽  
pp. 179-184 ◽  
Author(s):  
Kang Liang ◽  
Ying Sun ◽  
Fuying Tian ◽  
Shenghua Ye
Keyword(s):  
Atrial Fibrillation ◽  
Phase Space ◽  
Probability Density Function ◽  
Probability Density ◽  
Density Function ◽  
Normal Sinus Rhythm ◽  
New Method ◽  
Diagram Method ◽  
Normal Sinus ◽  
Probability Density Function Pdf

The paper introduced a new method based on probability density function (PDF) and phase space diagram method for photoplethysmography (PPG) signal extracting. In the paper, PPG information was generated from human fingertips by smartphones. The pulse wave period was then separated and reconstructed into probability density function (PDF) by the phase space diagram algorithm. The difference between normal sinus rhythm (NSR) and atrial fibrillation (AF) was finally found by skewness of the PDF. The results of the present study demonstrates that the new method is vividly viable for detecting AF on the smartphone.

scholarly journals Time series analysis for multi-dimensional dynamical systems combining wavelet transformation and local principal component analysis

2019 ◽  
Vol 2019 (12) ◽  
Author(s):  
Kana Fuji ◽  
Mikito Toda
Keyword(s):  
Principal Component Analysis ◽  
Time Series ◽  
Phase Space ◽  
Degrees Of Freedom ◽  
Wavelet Transformation ◽  
Vibrational Energy ◽  
Principal Component ◽  
Component Analysis ◽  
New Method ◽  
Frequency Variation

Abstract To analyze trajectories for systems of many degrees of freedom, we propose a new method called wavelet local principal component analysis (WlPCA) combining the wavelet transformation and local PCA in time. Our method enables us to reduce the dimensionality of time series both in degrees of freedom and frequency so that characteristic features of oscillatory behavior can be captured. To test the new method, we apply WlPCA to a non-autonomous model of multiple degrees of freedom, the Froeschlé maps of $N=2$ and $N=4$, which correspond to autonomous systems of three and five degrees of freedom, respectively. The eigenvalues and eigenvectors obtained by WlPCA reveal those times when frequency variation exhibits switching between relatively stationary features. Moreover, further analyses indicate which degrees of freedom and frequencies are involved in the switching. We confirm that the switching corresponds to the onset of transport in phase space. These findings imply that, even for systems of larger degrees of freedom, barriers can exist in phase space that block transport for a finite time, thereby dividing the phase space into multiple quasi-stationary regions. Thus, our method is promising for understanding dynamics in systems of many degrees of freedom, such as vibrational-energy redistribution in molecules.

Hypergraphs in Phase-Space: A New Method for Predicting Epileptic Seizures

2018 ◽  
Author(s):  
Patrick Luckett ◽  
Elena Pavelescu ◽  
J. Todd McDonald ◽  
Lee Hively ◽  
Juan Ochoa
Keyword(s):  
Phase Space ◽  
Epileptic Seizures ◽  
New Method

scholarly journals Accurate specific molecular state densities by phase space integration. II. Comparison with quantum calculations on H+3and HD+2

1992 ◽  
Vol 96 (9) ◽  
pp. 6842-6849 ◽  
Author(s):  
Michael Berblinger ◽  
Christoph Schlier ◽  
Jonathan Tennyson ◽  
Steven Miller
Keyword(s):  
Phase Space ◽  
Molecular State ◽  
Quantum Calculations ◽  
Phase Space Integration ◽  
State Densities
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