Results 151 to 160 of about 1,426,127 (317)

On Periodic Orbits of Trapezoid Maps

Advances in Applied Mathematics, 1993
A trapezoid map on the unit interval is defined as follows: \(f(x) = ax\), for \(0 \leq x \leq b\), \(f(x) = ab\), for \(b\leq x \leq 1-b\), \(f(x) = a(1- x)\), for \(1-b \leq x \leq 1\), where \(a\), \(b\) are suitable parameters. For such maps: (1) Stable periodic orbits are characterized in terms of the kneading theory, (2) Regions of parameters ...
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The Existence of Periodic Orbits on the Sphere [PDF]

Tokyo Journal of Mathematics, 1984
Besides the so-called Seifert conjecture, \textit{H. Seifert} in fact proved in his paper [see Math. Z. 51, 197-216 (1948; Zbl 0030.22103)] the existence of a periodic orbit on \(S^{2n-1}\) for a class of Lagrangian systems with n degrees of freedom, and proposed a problem for the existence of \(n\) periodic orbits on \(S^{2n-1}\) for the same class ...
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Microbial profile of the appendix niche in acute appendicitis: a novel sampling approach

FEBS Open Bio, EarlyView.
This study utilized a novel sampling method, ERAT (i.e. endoscopic retrograde appendicitis treatment)‐guided lumen aspiration, to obtain samples from the appendix, and shotgun metagenomic sequencing was performed for in situ characterization of the appendix microbiome in patients with acute appendicitis.
Huimin Ma, Mingfei Wang, Yanhu Feng, Wanqi Zhang, Wenbo Wang, Yanfeng Xie, Guixiang Kong, Jie Feng, Pengfei Wang, Qi Wang, Xiaojun Huang   +10 more
wiley   +1 more source

Infinite number of stable periodic solutions for an equation with negative feedback

Electronic Journal of Qualitative Theory of Differential Equations, 2011
For all $\mu>0$, a locally Lipschitz continuous map $f$ with $xf\left(x\right)>0$, $x\in\mathbb{R}\setminus\left\{ 0\right\} $, is constructed, such that the scalar equation $\dot{x}\left(t\right)=-\mu x\left(t\right)-f\left(x\left(t-1\right)\right ...
Gabriella Vas
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Diffusion‐based size determination of solute particles: a method adapted for postsynaptic proteins

FEBS Open Bio, EarlyView.
We present a diffusion‐based approach for measuring the size of macromolecules and their complexes, and demonstrate its use on postsynaptic proteins. The method requires fluorescein‐labelled protein samples, a microfluidic device that maintains laminar flow for said samples, a microscope recording the emitted fluorescent signals, and an analytic ...
András László Szabó, Eszter Nagy‐Kanta, Soma Varga, Edit Andrea Jáger, Csaba István Pongor, Mária Laki, András József Laki, Zoltán Gáspári   +7 more
wiley   +1 more source

ON PERIODIC ORBITS OF RELAXATION OSCILLATIONS [PDF]

Taiwanese Journal of Mathematics, 2002
Two nonlinear oscillators of relaxation type are studied, namely the singularly perturbed van der Pol oscillator and a Lotka-Volterra system. The aim of this work is to provide descriptions of periodic orbits governed by these equations in terms of two inverse functions of \(x \exp x\).
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Identification of amino acids essential for angulin‐1/3 binding of the tricellular tight junction binder, angubindin‐1

FEBS Open Bio, EarlyView.
Angubindin‐1 binds angulin‐1/‐3 at tricellular tight junctions, enhancing intestinal macromolecule permeation. Alanine scanning identified six essential residues (L562, L598, E638, V640, Y643, and K644) of angubindin‐1 critical for binding to angulin‐1/‐3 and permeation‐enhancing activity, providing insights for the development of targeted noninvasive ...
Taiki Kuzu, Yumi Iwashita, Keisuke Tachibana, Itsuki Nishino, Yuki Niwa, Atsuko Uyeda, Kazuki Matsuo, Masahiro Nagahama, Masuo Kondoh   +8 more
wiley   +1 more source

Periodic orbits in outer billiard

International Mathematics Research Notices, 2006
It is shown that the set of 4-period orbits in outer billiard with piecewise smooth convex boundary has an empty interior, provided that no four corners of the boundary form a parallelogram.
Alexander Tumanov, Vadim Zharnitsky
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Electrical pulse stimulation reflecting the episodic nature of real‐life exercise modulates metabolic and secretory profile of primary human myotubes

FEBS Open Bio, EarlyView.
Here, we introduced an intermittent electrical stimulation protocol mimicking the episodic nature of real‐life exercise in vitro by alternating low‐ and high‐frequency stimulation. In comparison with widely used continuous stimulation, it enhanced the rate of glucose and fatty acid oxidation, but not the myokine release.
Klára Gabrišová, Tímea Kurdiová, Daria Barkova, Natália Pálešová, Jana Babulicová, Silvia Tyčiaková, Marta Novotová, Mária Balážová, Miroslav Sabo, Václav Pustka, Jozef Ukropec, Barbara Ukropcová   +11 more
wiley   +1 more source

Period-Multiplying Bifurcations in the Gravitational Field of Asteroids

Aerospace
Periodic orbit families around asteroids serve as potential trajectories for space probes, mining facilities, and deep space stations. Bifurcations of these families provide additional candidate orbits for efficient trajectory design around asteroids ...
P. Rishi Krishna, Joel George Manathara
doaj   +1 more source