Results 51 to 60 of about 1,344,372 (340)
Global and exponential attractors for a Ginzburg-Landau model of superfluidity [PDF]
Discrete & Continuous Dynamical Systems - S, 2011 39 ...
Alessia Berti +2 more
openaire +4 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
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
New notion of nonuniform exponential dichotomy with applications to the theory of pullback and forward attractors [PDF]
arXiv, 2021 In this work we study nonuniform exponential dichotomies and existence of pullback and forward attractors for evolution processes associated to nonautonomous differential equations. We define a new concept of nonuniform exponential dichotomy, for which we provide several examples, study the relation with the standard notion, and establish a robustness ...
arxiv
The dynamics of critical Kauffman networks under asynchronous stochastic update [PDF]
Phys. Rev. Lett. 95, 048701 (2005), 2005 We show that the mean number of attractors in a critical Boolean network under asynchronous stochastic update grows like a power law and that the mean size of the attractors increases as a stretched exponential with the system size. This is in strong contrast to the synchronous case, where the number of attractors grows faster than any power law.
arxiv +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
What attracts to attractors? [PDF]
Phys. Rev. Lett. 124, 102301 (2020), 2019 Whether, how, and to what extent solutions of Bjorken-expanding systems become insensitive to aspects of their initial conditions is of importance for heavy-ion collisions. Here we study 1+1D and phenomenologically relevant boost-invariant 3+1D systems in which initial conditions approach a universal attractor solution.
arxiv +1 more source
Global Stability of Approximation for Exponential Attractors
Funkcialaj Ekvacioj, 2004 This paper is concerned with the initial value problem for some diffusion system which describes the process of a pattern formation of biological individuals by chemotaixis and growth. In the paper Osaki et al. [13], exponential attractors have been constructed for the dynamical system determined by this problem.
Atsushi Yagi, Masashi Aida
openaire +3 more sources
FEBS Letters, EarlyView.The S1025 peptide is the major antidote to the YrzI toxin, which we renamed here as SpyT (Small Peptide YrzI Toxin) and SpyA (Small Peptide YrzI Antitoxin) (1). Degradation of the toxin–antitoxin spyTA mRNA, either by a translation‐dependent cleavage by the endoribonuclease Rae1 (2) or by direct attack by 3′‐exoribonucleases (3), also contributes to ...
Laetitia Gilet +4 more
wiley +1 more source