Local entropy theory of a random dynamical system
© 2014 by the American Mathematical Society. All rights reserved. In this paper we extend the notion of a continuous bundle random dynamical system to the setting where the action of ℝ or ℕ is replaced by the action of an infinite countable discrete ...
Zhang, G, Dooley, AH
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Bioscience students were asked for their opinions on the value and teaching of skills. 204 responded that teamwork, time management and study skills are necessary to reach University, that scientific writing, research, laboratory and presentation skills are taught effectively during their studies, while other skills are gained inherently through study ...
Janella Borrell, Susan Crennell
wiley +1 more source
Non-i.i.d. random holomorphic dynamical systems (Research on the Theory of Random Dynamical Systems and Fractal Geometry) [PDF]
We consider non-i.i.d. random holomorphic dynamical systems whose choice of maps depends on Markovian rules. We show that generically, such a system is stable on average or chaotic with full Julia set. This generalizes a result for i.i.d.
Watanabe, Takayuki
core
Long‐term hippocampal alterations and cognitive impairment in a murine model of surgical sepsis
Using a mouse model of surgical sepsis, we tested long‐term memory and analyzed the transcriptome of single cells isolated from the hippocampus. Survivor mice showed worse memory, loss of certain brain cell subpopulations, and abnormal immune cell activity—suggesting that post‐sepsis brain alterations may be linked to cognitive deficits.
Dong Seong Cho +4 more
wiley +1 more source
Stability in Distribution of Randomly Perturbed Quadratic Maps as Markov Processes [PDF]
Iteration of randomly chosen quadtratic maps defines a Markov process: X[subscript n + 1] = epsilon[subscript n + 1] X[subscript n](1 - X[subscript n]), where epsilon[subscript n] are i.i.d.
Majumdar, Mukul, Bhattacharya, Rabi
core
The dFoCC pipeline starts with observed DED and resting‐state coordinates, which are then used to generate a library of triggered states. Correlation analysis of the calculated DED features of each candidate vs observed DED permits quantitative evaluation of candidate structural quality.
Meng Iao Fong +3 more
wiley +1 more source
Acute caffeine treatment protects the developing retina from ischemia‐induced cell death
Caffeine reduces cell death in the developing retina under ischemia (OGD). This effect does not involve BDNF upregulation or antioxidant pathways (NRF2/VEGF). Neuroprotection occurs mainly through adenosine A2A receptor antagonism, decreasing glutamate release and excitotoxicity, highlighting caffeine's potential as an acute neuroprotective agent in ...
Amanda Alves Nascimento +6 more
wiley +1 more source
Random Dynamical Systems of Regular Polynomial Maps on $mathbb{C}$$^{2}$ (Integrated Research on Random Dynamical Systems and Multi-Valued Dynamical Systems) [PDF]
We introduce the notion of mean stability in i.i.d. random (holomorphic) 2-dimensional dynamical systems. We can see that a generic random dynamical system of regular polynomial maps on ℙ² (the complex 2-dimensional projective space) having an attractor ...
Sumi, Hiroki
core
A Stochastic Weakly Damped, Forced KdV-BO Equation
We investigate the long time behavior of the damped, forced KdV-BO equation driven by white noise. We first show that the global solution generates a random dynamical system.
Guolian Wang
doaj +1 more source
Random attractors for the stochastic coupled suspension bridge equations of Kirchhoff type
This paper is devoted to the dynamical behavior of stochastic coupled suspension bridge equations of Kirchhoff type. For the deterministic cases, there are many classical results such as existence and uniqueness of a solution and long-term behavior of ...
Ling Xu, Jianhua Huang, Qiaozhen Ma
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