Results 111 to 120 of about 5,198,351 (376)

Stability of the global attractor under Markov-Wasserstein noise [PDF]

, 2011
We develop a "weak Wa\.zewski principle" for discrete and continuous time dynamical systems on metric spaces having a weaker topology to show that attractors can be continued in a weak sense.
Kell, Martin
core  

Intrinsic Shape Property of Global Attractors in Metrizable Spaces [PDF]

, 2020
Nikita Shekutkovski, Martin Shoptrajanov
openalex   +1 more source

Regular Attractor by Strict Lyapunov Function for Random Dynamical Systems

Wasit Journal for Pure Sciences
The main objective of this paper is to study some types of random attractors in random dynamical systems based on the random strict Lyapunov   function.
Hind Adnan Hashim
doaj   +1 more source

Quantitative Assessment of Upper Limb Ataxia Using a Virtual Reality‐Based Evaluation System

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Cerebellar ataxia impairs coordination and balance, reducing quality of life. Conventional clinical scales, including the Scale for the Assessment and Rating of Ataxia (SARA) and the International Cooperative Ataxia Rating Scale (ICARS), are widely used to assess ataxia but are limited by subjectivity and inter‐rater variability ...
Masayuki Sato, Takayuki Abe, Sho Aoki, Setsuki Tsukagoshi, Yasushi Yuminaka, Yoshio Ikeda   +5 more
wiley   +1 more source

Improving Quantum Approximate Optimization by Noise-Directed Adaptive Remapping [PDF]

Quantum
We present Noise-Directed Adaptive Remapping (NDAR), a heuristic algorithm for approximately solving binary optimization problems by leveraging certain types of noise.
Filip B. Maciejewski, Jacob Biamonte, Stuart Hadfield, Davide Venturelli   +3 more
doaj   +1 more source

A Comprehensive Overview of the Clinical, Electrophysiological, and Neuroimaging Features of BPAN: Insights From a New Case Series

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Neurodegeneration with brain iron accumulation (NBIA) comprises a genetically and clinically heterogeneous group of rare neurological disorders characterized particularly by iron accumulation in the basal ganglia. To date, 15 genes have been associated with NBIA.
Seda Susgun, Ozgu Kizek, Sibel Aylin Ugur Iseri, Ibrahim Kamaci, Ayse Deniz Elmali, Pinar Iscen, Berfin Gulkaya Guzel, Gul Yalcin Cakmakli, Bulent Elibol, Berril Donmez, Raif Cakmur, Pinar Topaloglu, Turkish NBIA Study Group, Abdullah Acar, Ahmet Acarer, Arzu Karabay, Asuman Ali, Ayla Barlas, Aysegul Gunduz, Banu Ozen Barut, Baris Baslo, Bilge Kocer, Bilgehan Mus, Birsen Karaman, Burcu Gokce Cokal, Cem Ismail Kucukali, Cenk Akbostanci, Ceyhun Sayman, Cagla Turan, Dilek Ince Gunal, Ebru Bilge Dirik, Ebru Erzurumluoglu, Elif Kocasoy Orhan, Enes Demiryurek, Emrah Yucesan, Ercan Kose, Erdem Tuzun, Esen Saka Topcuoglu, Esra Okuyucu, Fatma Betul Ozdilek, Feriha Ozer, Gencer Genc, Gozde Unal, Gulay Kenangil, Gullu Tarhan, Gunes Kiziltan, Halil Onder, Hamit Genc, Hasmet Hanagasi, Hatice Yuksel, Hulya Apaydin, Koray Kirimtay, Mehmet Guney Senol, Melisa Kilic, Meltem Demirkiran, Mert Karaca, Miray Erdem, Muhammet Bilgehan Mus, Murat Gultekin, Nalan Capan, Nazan Karagoz Sakalli, Nazli Basak, Nihan Hande Akcakaya, Ozan Ezer, Ozge Uygun, Ozge Yilmaz Kuspeci, Ozgur Oztop Cakmak, Pervin Iseri, Petek Ballar Kirmizibayrak, Pinar Elkoca, Recep Alp, Remzi Yigiter, Rezzak Yilmaz, Sadika Ozdemir, Selda Keskin, Selen Ilhan Alp, Selen Soylu, Serdar Ceylaner, Serhat Ozkan, Sevda Erer Ozbek, Sevgin Gundogan, Sevil Yasufli, Sezin Alpaydin Baslo, Sibel Ertan, Sultan Cagirici, Seyma Aykac, Vuslat Yilmaz, Yaprak Secil, Yasar Kutukcu, Yeliz Ciftci, Yesim Sucullu Karadag, Yildiz Değirmenci, Zeliha Matur, Nerses Bebek, Murat Emre, Zuhal Yapici   +95 more
wiley   +1 more source

Notes on the Global Attractors for Semigroup

International Journal of Modern Nonlinear Theory and Application, 2013
First we introduce two necessary and sufficient conditions which ensure the existence of the global attractors for semigroup. Then we recall the concept of measure of noncompactness of a set and recapitulate its basic properties. Finally, we prove that these two conditions are equivalent directly.
Lan Xu, Yuhua Shi
openaire   +2 more sources

Global Attractor for Partial Functional Differential Equations with State-Dependent Delay

Abstract and Applied Analysis, 2013
This work aims to investigate the existence of global attractors for a class of partial functional differential equations with state-dependent delay. Using the classic theory about global attractors in infinite dimensional dynamical systems, we obtain ...
Zhimin He, Bo Du
doaj   +1 more source

Impact of APOE ε4 Genotype Load on Cognitive Function and Lipid Metabolism in Patients With Cerebral Small Vessel Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Apolipoprotein ε4 (APOE ε4) is a potent genetic risk factor for Alzheimer's disease (AD). However, its role in cerebral small vessel disease (CSVD) remains unclear. Given the clinical and pathological similarities between CSVD and AD, this study aimed to investigate the associations of APOE ε4 gene dosage with cognitive function and
Tingru Jin, Haocheng Yang, Feng Liu, Sihao Lin, Junru Hu, Jian Wang, Yulan Gou   +6 more
wiley   +1 more source

Higher Amyloid and Tau Burden Is Associated With Faster Decline on a Digital Cognitive Test

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective A 2‐min digital clock‐drawing test (DCTclock) captures more granular features of the clock‐drawing process than the pencil‐and‐paper clock‐drawing test, revealing more subtle deficits at the preclinical stage of Alzheimer's disease (AD). A previous cross‐sectional study demonstrated that worse DCTclock performance was associated with
Jessie Fanglu Fu, Talia Robinson, Marina Rodriguez Alonso, Adela Francis Malave, Roos J. Jutten, Michael J. Properzi, Brian C. Healy, Jackson C. Thompson, Grace Del Carmen Montenegro, Emma Thibault, Dana Penney, Randall Davis, Reisa A. Sperling, Kathryn V. Papp, Keith A. Johnson, Julie C. Price, Dorene M. Rentz   +16 more
wiley   +1 more source