Results 91 to 100 of about 206 (175)

Convergences of asymptotically autonomous pullback attractors towards semigroup attractors

Discrete and Continuous Dynamical Systems - B, 2019
For pullback attractors of asymptotically autonomous dynamical systems we study the convergences of their components towards the global attractors of the limiting semigroups. We use some conditions of uniform boundedness of pullback attractors, instead of uniform compactness conditions used in the literature.
openaire   +3 more sources

Lower semicontinuity of pullback attractors for a singularly nonautonomous plate equation

Electronic Journal of Differential Equations, 2012
We show the lower semicontinuity of the family of pullback attractors for the singularly nonautonomous plate equation with structural damping $$ u_{tt} + a(t,x)u_{t} + (- Delta) u_{t} + (-Delta)^{2} u + lambda u = f(u), $$ in the energy space $H^2_0(
Ricardo Parreira da Silva
doaj  

Time-dependent saddle-node bifurcation: Breaking time and the point of no return in a non-autonomous model of critical transitions. [PDF]

Physica D, 2019
Li JH, Ye FX, Qian H, Huang S.
europepmc   +1 more source

Pullback attractors for a singularly nonautonomous plate equation

Electronic Journal of Differential Equations, 2011
We consider the family of singularly nonautonomous plate equations with structural damping $$ u_{tt} + a(t,x)u_t - Delta u_t + (-Delta)^2 u + lambda u = f(u), $$ in a bounded domain $Omega subset mathbb{R}^n$, with Navier boundary conditions. When
Vera Lucia Carbone, Marcelo Jose Dias Nascimento, Karina Schiabel-Silva, Ricardo Parreira da Silva   +3 more
doaj  

ASYMPTOTIC BEHAVIOR OF THE STOCHASTIC KELLER-SEGEL EQUATIONS. [PDF]

Discrete Continuous Dyn Syst Ser B, 2019
Shang Y, Tian JP, Wang B.
europepmc   +1 more source

Weak-pullback mean-random attractors for non-autonomous stochastic reaction-diffusion equations with dynamical boundary conditions

Electronic Journal of Differential Equations
In this article, we study the long-time behavior of solutions of the non-autonomous stochastic reaction-diffusion equations with dynamical boundary conditions.
Sisi Liu, Mingli Hong, Lu Yang
doaj  

A Lyapunov function for pullback attractors of nonautonomous differential equations

Electronic Journal of Differential Equations, 2000
The contruction of a Lyapunov function characterizing the pullback attractor of a cocycle dynamical system is presented. This system is the state space component of a skew-product flow generated by a nonautonomous differential equation that is driven by ...
Peter E. Kloeden
doaj  

Is the Free-Energy Principle a Formal Theory of Semantics? From Variational Density Dynamics to Neural and Phenotypic Representations. [PDF]

Entropy (Basel), 2020
Ramstead MJD, Friston KJ, Hipólito I.
europepmc   +1 more source

Towards a mathematical framework for modelling cell fate dynamics. [PDF]

J Math Biol
Vittadello ST, Diaz L, Liu Y, Zanca A, Stumpf MPH.   +4 more
europepmc   +1 more source

Implications of diffusion and time-varying morphogen gradients for the dynamic positioning and precision of bistable gene expression boundaries. [PDF]

PLoS Comput Biol, 2021
Perkins ML.
europepmc   +1 more source