Results 21 to 30 of about 2,062 (260)

The Existence of Weak D-Pullback Exponential Attractor for Nonautonomous Dynamical System

open access: yesThe Scientific World Journal, 2016
First, for a process U(t,τ)∣t≥τ, we introduce a new concept, called the weak D-pullback exponential attractor, which is a family of sets M(t)∣t≤T, for any T∈R, satisfying the following: (i) M(t) is compact, (ii) M(t) is positively invariant, that is, U(t,
Yongjun Li, Xiaona Wei, Yanhong Zhang
doaj   +1 more source

Systemic modeling of chaotic EEG during human sleep

open access: yesInformatics in Medicine Unlocked, 2023
The use of chaos theory in modeling biological signals is becoming increasingly common, especially in EEG signal processing for predicting and detecting different brain states.
Mahmoud Alipour   +1 more
doaj   +1 more source

GLOBAL AND EXPONENTIAL ATTRACTORS FOR THE PENROSE–FIFE SYSTEM [PDF]

open access: yesMathematical Models and Methods in Applied Sciences, 2009
The Penrose–Fife system for phase transitions is addressed. Dirichlet boundary conditions for the temperature are assumed. Existence of global and exponential attractors is proved. Differently from preceding contributions, here the energy balance equation is both singular at 0 and degenerate at ∞.
openaire   +3 more sources

Lamé system with weak damping and nonlinear time-varying delay

open access: yesAdvances in Nonlinear Analysis, 2023
This article is concerned with the stability and dynamics for the weak damped Lamé system with nonlinear time-varying delay in a bounded domain. Under some appropriate assumptions, the global well-posedness and asymptotic stability are shown in the case ...
Yang Xin-Guang   +2 more
doaj   +1 more source

Darboux integrability of a hyperjerk memristive system

open access: yesZanco Journal of Pure and Applied Sciences, 2023
In this work, we investigate the following novel four-dimensional dynamical memristive system (see, (Prousalis et al., 2017)) This system, in a certain area of the parameter space, exhibits hyper-jerk dynamics and a line of singularities passing ...
Niazy Hady Hussein ,Soran Mohammed Khudur
doaj   +1 more source

Method for characteristic phase detection in systems with complex topology of attractor being near the boundary of generalized synchronization [PDF]

open access: yesИзвестия высших учебных заведений: Прикладная нелинейная динамика, 2020
The aim of the paper consists in the development of universal method for the detection of characteristic phases of the behavior in systems with complex topology of attractor being in the regime of intermittent generalized synchronization.
Moskalenko, Olga Igorevna   +2 more
doaj   +1 more source

How phagocytic cells kill bacteria: Lessons from a professional killer

open access: yesFEBS Open Bio, EarlyView.
How phagocytic cells ingest and kill bacteria has been studied for more than a century, but many questions remain unanswered. The study of the amoeba Dictyostelium discoideum brings new answers, and new questions. Professional phagocytic cells such as neutrophils and macrophages, as well as free‐living soil amoebae like Dictyostelium discoideum, employ
Otmane Lamrabet, Pierre Cosson
wiley   +1 more source

Evaluation of cardiac dynamics by a mathematical law in 16 hours: application to 400 cases

open access: yesActa Scientiarum. Health Sciences, 2022
To corroborate the clinical application of an exponential mathematical law based on dynamic systems by reducing its evaluation time to 16 hours through a diagnostic concordance study with respect to the clinical conventional diagnosis. A blind study was
Javier Oswaldo Rodríguez Velásquez   +5 more
doaj   +1 more source

Yeast Gcn2 retains activity following humanization of its auto‐phosphorylation region

open access: yesFEBS Open Bio, EarlyView.
Using Saccharomyces cerevisiae as a model to study Gcn2 activation and regulation is limited by the lack of antibodies detecting phosphorylated Gcn2. To overcome this, we engineered Gcn2‐HsC, a yeast Gcn2 variant recognizable by commercial anti‐human phospho‐GCN2 antibodies.
Reuben A. Anderson   +2 more
wiley   +1 more source

Physician‐Scientist Pipeline for Pediatric Rheumatology: The Current Landscape and Future Perspectives

open access: yesArthritis Care &Research, EarlyView.
Over the past 50 years, the science of pediatric rheumatology has grown exponentially due to an expansion in the understanding of complex rheumatic conditions and a surge in novel targeted therapeutics. Physician‐scientists in the field of pediatric rheumatology have played major roles in these advancements that have improved the care of children ...
Ekemini A. Ogbu   +2 more
wiley   +1 more source

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