scholarly journals The leaking soft stadium

2021 ◽  
Vol 2090 (1) ◽  
pp. 012036
Author(s):  
J. S. Espinoza Ortiz ◽  
R.E. Lagos-Monaco
Keyword(s):  
Statistical Analysis ◽  
Rotational Motion ◽  
Survival Probability ◽  
Transient Behavior ◽  
Chaotic Regime ◽  
Transient Chaos ◽  
Limited Region ◽  
Bouncing Ball ◽  
Smoothing Procedure

Abstract We soften the non zero y-boundary on a Bunimovich like quarter-stadium. The smoothing procedure is performed via an exponent monomial potential, the system becomes partially reflective, preserving the particle’s translation and rotational motion. By increasing the exponent value, the stadium’s boundaries become rigid and the system’s dynamics reaches a chaotic regime. We set a leaking soft stadium family by opening a limited region located at some place of its basis’s boundary, throughout which the particles can leak out. This work is an extension of our recently reported paper on this matter. We chase the particle’s trajectory and focus on the stadium transient behavior by means of the statistical analysis of the survival probability on the marginal orbits that never leave the system, the so called bouncing ball orbits. We compare these family orbits with the billiard’s transient chaos orbits.

Experimental study of the nuclear rotational motion with statistical analysis methods

1999 ◽  
Vol 649 (1-4) ◽  
pp. 361-369 ◽  
Author(s):  
S. Leoni ◽  
A. Bracco ◽  
S. Frattini ◽  
G. Montingelli ◽  
E. Vigezzi ◽  
...  
Keyword(s):  
Experimental Study ◽  
Statistical Analysis ◽  
Rotational Motion ◽  
Analysis Methods ◽  
Statistical Analysis Methods

scholarly journals 1P290 Statistical analysis of rotational motion properties of tethered E. coli by video measurement(26. Measurements,Poster,The 52nd Annual Meeting of the Biophysical Society of Japan(BSJ2014))

2014 ◽  
Vol 54 (supplement1-2) ◽  
pp. S189
Author(s):  
Hiroto Tanaka ◽  
Tadashi Matsukawa ◽  
Takashi Sagawa ◽  
Sakura Maesato ◽  
Yukihiro Tominari ◽  
...  
Keyword(s):  
Statistical Analysis ◽  
Annual Meeting ◽  
Rotational Motion ◽  
E Coli ◽  
Biophysical Society

A Preliminary Survey of Radio Sources in a Limited Region of the Sky at a Wavelength of 3·5 m

1957 ◽  
Vol 10 (1) ◽  
pp. 162 ◽  
Author(s):  
BY Mills ◽  
OB Slee
Keyword(s):  
Statistical Analysis ◽  
Major Part ◽  
Significant Degree ◽  
Radio Interferometer ◽  
Radio Sources ◽  
Preliminary Survey ◽  
Instrumental Effects ◽  
Limited Region ◽  
Sample Area ◽  
Celestial Equator

A preliminary catalogue has been prepared of radio sources observed in a sample area of about one steradian near the celestial equator: a total of 383 sources is listed. The brightest nebulae in the area are found to be radio sources. Statistical analysis of the catalogue reveals no obvious cosmological effects except, perhaps, for a significant degree of clustering which may be indicative of metagalactic structure. The catalogue is compared in detail with a recent Cambridge catalogue which includes the sample area; it is found that they are almost completely discordant. A theory is developed which explains this discordance in terms of instrumental effects and it is concluded that a major part of the Cambridge catalogue is affected by the low resolution of their radio interferometer.

scholarly journals Complexity Collapse, Fluctuating Synchrony, and Transient Chaos in Neural Networks With Delay Clusters

2021 ◽  
Vol 15 ◽  
Author(s):  
S. Kamyar Tavakoli ◽  
André Longtin
Keyword(s):  
Firing Rate ◽  
Initial Conditions ◽  
Chaotic Regime ◽  
Local Network ◽  
Conduction Delay ◽  
Transient Chaos ◽  
Inhibitory Feedback ◽  
The Mean ◽  
Delay Differential ◽  
Local Circuitry

Neural circuits operate with delays over a range of time scales, from a few milliseconds in recurrent local circuitry to tens of milliseconds or more for communication between populations. Modeling usually incorporates single fixed delays, meant to represent the mean conduction delay between neurons making up the circuit. We explore conditions under which the inclusion of more delays in a high-dimensional chaotic neural network leads to a reduction in dynamical complexity, a phenomenon recently described as multi-delay complexity collapse (CC) in delay-differential equations with one to three variables. We consider a recurrent local network of 80% excitatory and 20% inhibitory rate model neurons with 10% connection probability. An increase in the width of the distribution of local delays, even to unrealistically large values, does not cause CC, nor does adding more local delays. Interestingly, multiple small local delays can cause CC provided there is a moderate global delayed inhibitory feedback and random initial conditions. CC then occurs through the settling of transient chaos onto a limit cycle. In this regime, there is a form of noise-induced order in which the mean activity variance decreases as the noise increases and disrupts the synchrony. Another novel form of CC is seen where global delayed feedback causes “dropouts,” i.e., epochs of low firing rate network synchrony. Their alternation with epochs of higher firing rate asynchrony closely follows Poisson statistics. Such dropouts are promoted by larger global feedback strength and delay. Finally, periodic driving of the chaotic regime with global feedback can cause CC; the extinction of chaos can outlast the forcing, sometimes permanently. Our results suggest a wealth of phenomena that remain to be discovered in networks with clusters of delays.

scholarly journals Rotating network jets in the quiet Sun as observed by IRIS

2018 ◽  
Vol 616 ◽  
pp. A99 ◽  
Author(s):  
P. Kayshap ◽  
K. Murawski ◽  
A. K. Srivastava ◽  
B. N. Dwivedi
Keyword(s):  
Statistical Analysis ◽  
Rotational Motion ◽  
High Speed ◽  
Rotational Velocity ◽  
Spectral Lines ◽  
The Other ◽  
Secondary Component ◽  
Doppler Velocity ◽  
Quiet Sun ◽  
Resolution Imaging

Aims. We perform a detailed observational analysis of network jets to understand their kinematics, rotational motion, and underlying triggering mechanism(s). We analyzed the quiet-Sun (QS) data. Methods. IRIS high-resolution imaging and spectral observations (slit-jaw images: Si IV 1400.0 Å; raster: Si IV 1393.75 Å) were used to analyze the omnipresent rotating network jets in the transition region (TR). In addition, we also used observations from the Atmospheric Imaging Assembly (AIA) on board the Solar Dynamic Observation (SDO). Results. The statistical analysis of 51 network jets is performed to understand their various mean properties, e.g., apparent speed (140.16 ± 39.41 km s−1), length (3.16 ± 1.18 Mm), and lifetimes (105.49 ± 51.75 s). The Si IV 1393.75 Å line has a secondary component along with its main Gaussian, which is formed due to the high-speed plasma flows (i.e., network jets). The variation in Doppler velocity across these jets (i.e., blueshift on one edge and redshift on the other) signify the presence of inherited rotational motion. The statistical analysis predicts that the mean rotational velocity (i.e., ΔV) is 49.56 km s−1. The network jets have high-angular velocity in comparison to the other class of solar jets. Conclusions. The signature of network jets is inherited in TR spectral lines in terms of the secondary component of the Si IV 1393.75 Å line. The rotational motion of network jets is omnipresent, which is reported first for this class of jet-like features. The magnetic reconnection seems to be the most favorable mechanism for the formation of these network jets.

Statistical analysis of classification

1966 ◽  
Vol 24 ◽  
pp. 188-189
Author(s):  
T. J. Deeming
Keyword(s):  
Multivariate Analysis ◽  
Statistical Analysis ◽  
Classification Scheme ◽  
Analytical Procedure ◽  
Narrow Band ◽  
Scientific Research ◽  
Maximum Amount ◽  
Amount Of Information

If we make a set of measurements, such as narrow-band or multicolour photo-electric measurements, which are designed to improve a scheme of classification, and in particular if they are designed to extend the number of dimensions of classification, i.e. the number of classification parameters, then some important problems of analytical procedure arise. First, it is important not to reproduce the errors of the classification scheme which we are trying to improve. Second, when trying to extend the number of dimensions of classification we have little or nothing with which to test the validity of the new parameters.Problems similar to these have occurred in other areas of scientific research (notably psychology and education) and the branch of Statistics called Multivariate Analysis has been developed to deal with them. The techniques of this subject are largely unknown to astronomers, but, if carefully applied, they should at the very least ensure that the astronomer gets the maximum amount of information out of his data and does not waste his time looking for information which is not there. More optimistically, these techniques are potentially capable of indicating the number of classification parameters necessary and giving specific formulas for computing them, as well as pinpointing those particular measurements which are most crucial for determining the classification parameters.

Quantitative parallel EELS spectrum imaging developed as a new tool in AEM

1992 ◽  
Vol 50 (2) ◽  
pp. 1202-1203
Author(s):  
Gianluigi Botton ◽  
Gilles L'espérance
Keyword(s):  
Statistical Analysis ◽  
Spatial Resolution ◽  
Personal Computer ◽  
Systematic Study ◽  
Present Author ◽  
Chemical Elements ◽  
Detection Limits ◽  
Research Groups ◽  
Quantitative Performance ◽  
Spectrum Imaging

As interest for parallel EELS spectrum imaging grows in laboratories equipped with commercial spectrometers, different approaches were used in recent years by a few research groups in the development of the technique of spectrum imaging as reported in the literature. Either by controlling, with a personal computer both the microsope and the spectrometer or using more powerful workstations interfaced to conventional multichannel analysers with commercially available programs to control the microscope and the spectrometer, spectrum images can now be obtained. Work on the limits of the technique, in terms of the quantitative performance was reported, however, by the present author where a systematic study of artifacts detection limits, statistical errors as a function of desired spatial resolution and range of chemical elements to be studied in a map was carried out The aim of the present paper is to show an application of quantitative parallel EELS spectrum imaging where statistical analysis is performed at each pixel and interpretation is carried out using criteria established from the statistical analysis and variations in composition are analyzed with the help of information retreived from t/γ maps so that artifacts are avoided.

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