Results 41 to 50 of about 1,311,893 (303)
Systemic modeling of chaotic EEG during human sleep
Informatics 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
Open sets of Axiom A flows with exponentially mixing attractors [PDF]
Proceedings of the American Mathematical Society, 2016 For any dimension d ≥ 3 d\geq 3 we construct C 1 \mathcal {C}^{1} -open subsets of the space of C 3 \mathcal {C}^{3} vector fields such that the flow associated to each vector ...
Paulo Varandas +3 more
openaire +4 more sources
, 2018 In this paper, we first establish some sufficient conditions for the existence and construction of a random exponential attractor for a continuous cocycle on a separable Banach space.
Zhaojuan Wang, Shengfan Zhou
semanticscholar +1 more source
Chaotic systems with variable indexs for image encryption application
Scientific Reports, 2022 A new chaotic system is obtained by changing the number of unknown parameters. The dynamical behavior of the chaotic system is investigated by the exponential change of the single unknown parameter and the state variable in the nonlinear term of the ...
Minxiu Yan, Jingfeng Jie, Ping Zhang
doaj +1 more source
EXPONENTIAL ATTRACTOR FOR AN ADSORBATE-INDUCED PHASE TRANSITION MODEL
, 2002 Tohru Tsujikawa, Atsushi Yagi
openalex +3 more sources
AIMS Mathematics, 2021 In this paper, the dynamical behavior of the nonclassical diffusion equation is investigated. First, using the asymptotic regularity of the solution, we prove that the semigroup $ \{S(t)\}_{t\geq 0} $ corresponding to this equation satisfies the global ...
Jianbo Yuan +3 more
doaj +1 more source
, 2018 This paper studies the exponential attractor for a class of the Kirchhoff-type equations with strongly damped terms and source terms. The exponential attractor is also called the inertial fractal set, which is an intermediate step between global ...
Guoguang Lin, X. Xia
semanticscholar +1 more source
Mathematical Modelling and Analysis, 2016 In this paper, we consider a non-autonomous generalized Cahn-Hilliard equation with biological applications. It is shown that a pullback attractor of the equation exists when the external force has exponential growth.
Ning Duan
doaj +1 more source
Novel and unscrutinized immune entities of the zebrafish gut
FEBS Letters, EarlyView.Understudied cells of the zebrafish immune system include bona fide immune cells and epithelial (‐derived) cells with immune functions. Research focusing on zebrafish cells which demonstrate similarities to mammalian immune cell counterparts may help us understand the pathologies in which they are implicated. Currently available and advanced tools make
Audrey Inge Schytz Andersen‐Civil +5 more
wiley +1 more source
Coexistence of exponentially many chaotic spin-glass attractors [PDF]
Physical Review E, 2011 A chaotic network of size $N$ with delayed interactions which resembles a pseudo-inverse associative memory neural network is investigated. For a load $ =P/N<1$, where $P$ stands for the number of stored patterns, the chaotic network functions as an associative memory of 2P attractors with macroscopic basin of attractions which decrease with ...
M. Zigzag +3 more
openaire +4 more sources