Abstract Li and Liao announced (New Astron 70:22–26, 2019, arXiv:1805.07980v1 ) discovery of 313 periodic collisionless orbits’ initial conditions (i.c.s), 30 which have equal masses, 18 these orbits physical periods (scale-invariant periods) $$T^{*}&lt;80$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msup> <mml:mi>T</mml:mi> <mml:mrow /> <mml:mo>∗</mml:mo> </mml:mrow> </mml:msup> <mml:mo>&lt;</mml:mo> <mml:mn>80</mml:mn> </mml:math> . We revisited this work...

In this paper we present in detail Newton's method and its modification, based on the Continuous analog of for computing periodic orbits planar three-body problem. The linear system at each step is formed by solving a ODEs with multiple precision Taylor series method. We consider zero angular momentum symmetric initial configuration parallel velocities, bodies equal masses relatively short periods. Taking candidates correction greater return proximity as usual correcting modified method,...

Visually evoked potentials (VEPs) were elicited by Gabor gratings with different lengths and widths at three spatial frequencies (SFs): low, 1.45 c/deg, medium, 2.9 c/deg high, 5.8 a contrast 3 times above the detection threshold each SF. An increase of grating length enhanced N1 amplitude occipital parietal positions stronger than width aspect ratios (length : width) 4:1. The effect stimulus was reflected also in later P1 component central positions. larger on VEP SF specific: it smaller...

OpenMP parallelization of multiple precision Taylor series method is proposed. A very good parallel performance scalability and efficiency inside one computation node a CPU-cluster observed. We explain the details on classical example Lorentz equations. The same approach can be applied straightforwardly to large class chaotic dynamical systems.

Satellites (topological powers) of the famous figure-eight orbit are special periodic solutions planar three-body problem.In this paper we use a modified Newton's method based on Continuous analog and high precision arithmetic for purposeful numerical search new satellites figureeight orbit.Over 700 found, including 76 linearly stable ones.7 newly found choreographies.The linear stability is checked by computing eigenvalues monodromy matrices.The initial conditions all given with 150 correct...

A new efficient approach for searching three-body periodic equal-mass collisionless orbits passing through Eulerian configuration is presented. The based on a symmetry property of the solutions at half period. Depending two previously established types shape sphere, each solution presented by one or distinct initial conditions (one points in search domain). numerical Newton's method relatively coarse grid with small scale-invariant periods $T^{*}<70$ conducted. linear systems iteration are...

Humans have the unique ability to discern spatial and temporal regularities in their surroundings. However, effect of learning these on eye movement characteristics has not been studied enough. In present study, we investigated frequency occurrence presence common chunks visual images like fixation duration, saccade amplitude number, gaze number across sequential experimental epochs. The participants had discriminate patterns presented pairs as same or different. order was repeated six...

Abstract This work is a continuation of our recent Celest Mech Dyn Astron 136, 7, (2024) . Here we give more details about the high-precision numerical methods used and present results for linear stability investigation found periodic orbits. The eigenvalues monodromy matrices all orbits are computed with given 30 correct digits. All unstable, precisely they hyperbolic-hyperbolic or hyperbolic-elliptic type. result gives rise to hypothesis that three-body collisionless equal-mass free-fall...

This paper determines the vibrational effects on a diaphragmless shock tube, which was developed for dynamic calibrations of pressure transducers. First, sensitivity to acceleration piezoelectric transducer determined by exciting end-wall tube flange with mounted. Considering obtained and measured accelerations during operation operating were estimated.

One of the promising areas in condensed matter physics is study interaction nanoclusters with various metallic targets. In this paper we investigate thermal processes metals irradiated by molecular dynamics method. framework method wave effects heat transfer are obtained, a feature which absent spike model. We repost results computer simulation structural changes copper targets different sizes depending on energy (in range 10–50 eV/atom) nanoclusters.

Along with social, cognitive, and behavior deficiencies, peculiarities in sensory processing, including an atypical global motion have been reported Autism Spectrum Disorder (ASD). The question about the enhanced pooling ASD is still debatable. aim of present study was to compare integration using a low-density display equivalent noise (EN) approach. Fifty-seven children adolescents or typical development (TD) had determine average direction movement 30 Laplacian-of-Gaussian micro-patterns....

In this work we propose an efficient parallelization of multiple-precision Taylor series method with variable stepsize and fixed order. For given level accuracy the optimal determines higher order than in case stepsize. Although used is greater then that stepsize, hence computational per step greater, reduced number steps gives less overall work. Also beneficial sense it increases parallel efficiency. As a model problem use paradigmatic Lorenz system. With 256 CPU cores Nestum cluster,...

Green stimuli are more difficult to detect than red in the retinal periphery, as reported previously. We examined spatial characteristics of chromatic mechanisms using stimuli, modulated from an achromatic background each pole "red-green" cardinal axis DKL space at 20 deg eccentricity. The "blue-yellow" was also studied for comparison. By measuring both grating discrimination resolution limit (resolution acuity) and summation, assessed by Michaelis-Menten function, we demonstrated a marked...

Views Icon Article contents Figures & tables Video Audio Supplementary Data Peer Review Share Twitter Facebook Reddit LinkedIn Tools Reprints and Permissions Cite Search Site Citation I. Hristov, S. Dimova, T. Boyadjiev; Numerical Investigation of Josephson Junction Structures. AIP Conf. Proc. 29 October 2009; 1186 (1): 57–68. https://doi.org/10.1063/1.3265362 Download citation file: Ris (Zotero) Reference Manager EasyBib Bookends Mendeley Papers EndNote RefWorks BibTex toolbar search...

Over the last several decades active research in field of materials irradiation by high-energy heavy ions has been worked out. The experiments this area are labor-consuming and expensive. Therefore improvement existing mathematical models development new ones based on experimental data interaction with interest. Presently, two approaches used for studying these processes: a thermal spike model molecular dynamics methods. combination – continuous-atomistic will give opportunity to investigate...

We consider an interesting from computational point of view standing wave simulation by solving coupled 2D perturbed Sine-Gordon equations. make OpenMP realization which explores both thread and SIMD levels parallelism. test the program on two different energy equivalent Intel architectures: 2× Xeon E5-2695 v2 processors, (code-named “Ivy Bridge-EP”) in Hybrilit cluster, Phi 7250 processor “Knights Landing” (KNL). The results show 2 times better performance KNL processor.