Results 51 to 60 of about 1,351,782 (335)

Trajectory and smooth attractors for Cahn-Hilliard equations with inertial term [PDF]

, 2009
The paper is devoted to a modification of the classical Cahn-Hilliard equation proposed by some physicists. This modification is obtained by adding the second time derivative of the order parameter multiplied by an inertial coefficient which is usually ...
Ambrosetti A, Babin A, Babin A, Babin A V, Bonfoh A Grasselli M Miranville A, Chepyzhov V V, Debussche A, Galenko P, Gatti S, Giulio Schimperna, Grasselli M, Maurizio Grasselli, Miranville A, Novick-Cohen A, Sergey Zelik   +14 more
core   +2 more sources

Random attractor and random exponential attractor for stochastic non-autonomous damped cubic wave equation with linear multiplicative white noise

, 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 Kirchhoff model with time delay and thermal effect

Results in Applied Mathematics, 2023
The Kirchhoff model is derived from the vibration problem of stretchable strings. In this paper, we focus on the long-time dynamics of the Kirchhoff model with time delay and thermal effect.
Penghui Lv, Guoguang Lin
doaj   +1 more source

Long-time behavior of a nonlocal Cahn-Hilliard equation with reaction

, 2017
In this paper we study the long-time behavior of a nonlocal Cahn-Hilliard system with singular potential, degenerate mobility, and a reaction term. In particular, we prove the existence of a global attractor with finite fractal dimension, the existence ...
Iuorio, Annalisa, Melchionna, Stefano
core   +2 more sources

Decay of correlations for maps with uniformly contracting fibers and logarithm law for singular hyperbolic attractors

, 2013
We consider two dimensional maps preserving a foliation which is uniformly contracting and a one dimensional associated quotient map having exponential convergence to equilibrium (iterates of Lebesgue measure converge exponentially fast to physical ...
A Gorodnik, C Bonatti, C Pugh, C Pugh, CA Morales, CA Morales, CT Ionescu-Tulcea, D Ruelle, D Sullivan, DH Kim, DV Anosov, DY Kleinbock, EN Lorenz, G Keller, I Kontoyiannis, J Guckenheimer, J Palis, J Palis, JS Athreya, M Brin, M Pollicott, M Shub, Maria José Pacifico, N Gourmelon, PC Shields, R Hill, R Metzger, S Galatolo, S Galatolo, S Galatolo, S Galatolo, S Galatolo, S Galatolo, Stefano Galatolo, T Steinberger, V Araujo, V Araújo, Vitor Araújo, VS Afraimovich, VS Afraimovich, Y Pesin   +40 more
core   +1 more source

On attractors, spectra and bifurcations of random dynamical systems [PDF]

, 2015
In this thesis a number of related topics in random dynamical systems theory are studied: local attractors and attractor-repeller pairs, the exponential dichotomy spectrum and bifurcation theory.
Callaway, Mark
core   +1 more source

A construction of a robust family of exponential attractors [PDF]

Proceedings of the American Mathematical Society, 2005
Given a dissipative strongly continuous semigroup depending on some parameters, we construct a family of exponential attractors which is robust, in the sense of the symmetric Hausdorff distance, with respect to (even singular) perturbations.
GATTI S., GRASSELLI, MAURIZIO, MIRANVILLE A., PATA, VITTORINO   +3 more
openaire   +4 more sources

Exponential attractors for nonclassical diffusion equations with arbitrary polynomial growth nonlinearity

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, Shixuan Zhang, Yongqin Xie, Jiangwei Zhang   +3 more
doaj   +1 more source

Interplay between RNA‐protein interactions and RNA structures in gene regulation

FEBS Open Bio, EarlyView.
Methodological advances in mapping transcriptome‐wide RNA‐protein interactions and RNA structures have started to uncover the potential of RNP conformations in gene regulation. Competing RNA–RNA, RNA‐protein and protein–protein interactions shape the compaction and function of RNPs throughout their lifetime and may provide novel therapeutic targets in ...
Jenni Rapakko, Mauro Scaravilli, Minna‐Liisa Änkö   +2 more
wiley   +1 more source