Trajectory and global attractors of dissipative hyperbolic equations with memory
. We consider in this article a general construction of trajectory attractors and global attractors of evolution equations with memory. In our approach, the corresponding dynamical system acts in the space of initial data of the Cauchy problem under ...
V V Chepyzhov, A Miranville
core
Upper semicontinuity of attractors of non-autonomous dynamical systems for small perturbations
We study the problem of upper semicontinuity of compact global attractors of non-autonomous dynamical systems for small perturbations. For the general nonautonomous dynamical systems, we give the conditions of upper semicontinuity of attractors for small
David N. Cheban
doaj
NMR metabolomics revealed concentration‐dependent metabolic perturbations in HepG2 cells exposed to H2O2. Rifampicin pretreatment enhanced metabolic competence, attenuated toxin‐induced alterations and produced metabolite profiles more consistent with human liver physiology, supporting the use of CYP450‐induced HepG2 models for improved in vitro ...
Maren Jinks +4 more
wiley +1 more source
The global attractors and exponential attractors for a class of nonlinear damping Kirchhoff equation [PDF]
This paper consider the long time behavior of a class of nonlinear damped Kirchhoff equation    2 tt 1 t t u u u u u f x ï² ï€«ï¡ ï€ï§ï„ ï€ ï¡ ï€«ï¢ ïƒ‘ ï„ ï€½ . Study the attractor problem with initial boundary value conditions, then using
Zhu, Huixian +2 more
core +1 more source
Shigesada-Kawasaki-Teramoto model on higher dimensional domains
We investigate the existence of a global attractor for a class of triangular cross diffusion systems in domains of any dimension. These systems includes the Shigesada-Kawasaki-Teramoto (SKT) model, which arises in population dynamics and has been studied
Dung Le +2 more
doaj
On the strongly damped wave equation and the heat equation with mixed boundary conditions
We study two one-dimensional equations: the strongly damped wave equation and the heat equation, both with mixed boundary conditions. We prove the existence of global strong solutions and the existence of compact global attractors for these equations in ...
Aloisio F. Neves
doaj +1 more source
Evolution‐guided yeast complementation reveals functional differences in human PSPH variants
Ancient genomes can help guide which human genetic variants are tested experimentally. This study applies that idea to PSPH, a gene involved in serine biosynthesis, and uses high‐throughput yeast complementation to compare variant function. The findings reveal measurable differences among selected alleles and illustrate the value of evolution‐guided ...
Mauricio Campa‐Álvarez +6 more
wiley +1 more source
A Novel Method for Designing Multistable Systems with a Hidden Attractor
Dynamical systems with chaotic attractors are an interesting topic not only for their complex behavior but also due to their potential applications. Along with the chaos, systems can also present interesting features such as multistability, global basin ...
Rodolfo de Jesús Escalante-González +2 more
doaj +1 more source
Multistability in Large Scale Models of Brain Activity.
Noise driven exploration of a brain network's dynamic repertoire has been hypothesized to be causally involved in cognitive function, aging and neurodegeneration.
Mathieu Golos +2 more
doaj +1 more source
In silico and in vitro exploration of a tyrosinase for biocatalytic production of catechols
Tyrosinase from Ralstonia pseudosolanacearum is a promising biocatalyst for producing valuable catechols from monophenol substrates. This tyrosinase is uniquely suited to this due to its high monophenolase : diphenolase ratio. We combined in silico docking and in vivo kinetic characterisation of this tyrosinase with 11 industrially relevant monophenols,
James Britton +6 more
wiley +1 more source

