Results 31 to 40 of about 27,202 (290)

Exponential Attractor for a First-Order Dissipative Lattice Dynamical System

Journal of Applied Mathematics, 2008
We construct an exponential attractor for a first-order dissipative lattice dynamical system arising from spatial discretization of reaction-diffusion equations in ℝ𝑘. And we obtain fractal dimension of the exponential attractor.
Xiaoming Fan
doaj   +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

Pullback Exponential Attractors for Nonautonomous Klein-Gordon-Schrödinger Equations on Infinite Lattices

Abstract and Applied Analysis, 2013
This paper proves the existence of the pullback exponential attractor for the process associated to the nonautonomous Klein-Gordon-Schrödinger equations on infinite lattices.
Chunqiu Li, Min Zhao, Caidi Zhao
doaj   +1 more source

Longtime Dynamics of The Oregonator System

, 2011
In this work the existence and properties of a global attractor for the solution semiflow of the Oregonator system are proved. The Oregonator system is the mathematical model of the famous Belousov-Zhabotinskii reaction.
You, Yuncheng
core   +1 more source

de Sitter Gauge Theory of Gravity: An Alternative Torsion Cosmology

, 2011
A new cosmological model based on the de Sitter gauge theory (dSGT) is studied in this paper. By some transformations, we find, in the dust universe, the cosmological equations of dSGT could form an autonomous system. We conduct dynamics analysis to this
Ao, Xi-Chen, Li, Xin-Zhou
core   +1 more source

Longtime behavior of nonlocal Cahn-Hilliard equations

, 2013
Here we consider the nonlocal Cahn-Hilliard equation with constant mobility in a bounded domain. We prove that the associated dynamical system has an exponential attractor, provided that the potential is regular.
A. Debussche, A. Miranville, A. Miranville, A. Novick-Cohen, A. Novick-Cohen, C. G. Gal, C. G. Gal, C. G. Gal, C. G. Gal, Ciprian G. Gal, E. Feireisl, E. Feireisl, G. Giacomin, G. Giacomin, H. Gajewski, H. Gajewski, H. Gajewski, H. Gajewski, J. Bedrossian, J. García Melián, J. Han, J. S. Rowlinson, J. W. Cahn, L. Cherfils, L. Dung, M. Dauge, M. Efendiev, M. Grasselli, M. Hassan Farshbaf-Shaker, M. Hassan Farshbaf-Shaker, Maurizio Grasselli, P. Colli, P. Colli, P. W. Bates, P. W. Bates, P. W. Bates, P. W. Bates, P. W. Bates, S. Frigeri, S. Frigeri, S.-O. Londen, S.-O. Londen, X. Chen   +42 more
core   +1 more source

Cell‐cycle‐specific lesion evolution rather than inhibition of double‐strand‐break repair underpins cisplatin radiosensitization

Molecular Oncology, EarlyView.
We analyze cisplatin–DNA adducts (CDAs) and double‐strand breaks (DSBs) in a cell‐cycle‐dependent manner. We find that CDAs form similarly across all cell cycle phases. DSBs arise only in S‐phase. CDAs might not directly impair DSB repair, but S‐phase DSB lesions evolve in the presence of CDAs and disrupt repair in G2, also causing radiosensitization ...
Ye Qiu, Xixi Lin, Emil Mladenov, Veronika Mladenova, Jürgen Thomale, Ali Sak, Yao Wang, Yunxuan Deng, Eleni Gkika, Martin Stuschke, George Iliakis   +10 more
wiley   +1 more source

The Existence of Exponential Attractor for Discrete Ginzburg-Landau Equation

Discrete Dynamics in Nature and Society, 2015
This paper studies the following discrete systems of the complex Ginzburg-Landau equation: iu˙m-(α-iε)(2um-um+1-um-1)+iκum+βum2σum=gm,  m∈Z. Under some conditions on the parameters α, ε, κ, β, and σ, we prove the existence of exponential attractor for ...
Guangyin Du, Zeqi Zhu, Caidi Zhao
doaj   +1 more source

Mycobacterial cell division arrest and smooth‐to‐rough envelope transition using CRISPRi‐mediated genetic repression systems

FEBS Open Bio, EarlyView.
CRISPRI‐mediated gene silencing and phenotypic exploration in nontuberculous mycobacteria. In this Research Protocol, we describe approaches to control, monitor, and quantitatively assess CRISPRI‐mediated gene silencing in M. smegmatis and M. abscessus model organisms.
Vanessa Point, Wafaa Achache, Janïs Laudouze, Eliana Sepulveda Ramos, Mickaël Maziero, Céline Crauste, Stéphane Canaan, Pierre Santucci   +7 more
wiley   +1 more source

Attractor and Boundedness of Switched Stochastic Cohen-Grossberg Neural Networks

Discrete Dynamics in Nature and Society, 2016
We address the problem of stochastic attractor and boundedness of a class of switched Cohen-Grossberg neural networks (CGNN) with discrete and infinitely distributed delays.
Chuangxia Huang, Jie Cao, Peng Wang
doaj   +1 more source