Criteria for strong and weak random attractors
The theory of random attractors has different notions of attraction, amongst them pullback attraction and weak attraction. We investigate necessary and sufficient conditions for the existence of pullback attractors as well as of weak ...
B. Schmalfuß +19 more
core +1 more source
On attractors, spectra and bifurcations of random dynamical systems [PDF]
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
Finite fractal dimension of pullback attractors for a nonclassical diffusion equation
In this paper, we investigate the finite fractal dimension of pullback attractors for a nonclassical diffusion equation in $ H^1_0(\Omega) $. First, we prove the existence of pullback attractors for a nonclassical diffusion equation with arbitrary ...
Xiaolei Dong, Yuming Qin
semanticscholar +1 more source
Lower semicontinuity of attractors for non-autonomous dynamical systems [PDF]
This paper is concerned with the lower semicontinuity of attractors for semilinear non-autonomous differential equations in Banach spaces. We require the unperturbed attractor to be given as the union of unstable manifolds of time-dependent hyperbolic
Abreu +9 more
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Dynamics of a non-autonomous incompressible non-Newtonian fluid with delay [PDF]
We first study the well-posedness of a non-autonomous incompressible non-Newtonian fluid with delay. The existence of global solution is obtained by classical Galerkin approximation and the energy method.
Caraballo Garrido, Tomás +2 more
core +1 more source
Pullback attractors for non-autonomous 2D-Navier-Stokes equations in some unbounded domains [PDF]
In this Note we first introduce the concept of pullback asymptotic compactness. Next, we establish a result ensuring the existence of a pullback attractor for a non-autonomous dynamical system under the general assumptions of pullback asymptotic ...
Caraballo Garrido, Tomás +2 more
core +3 more sources
Pullback attractors of nonautonomous reaction–diffusion equations
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Song, Haitao, Wu, Hongqing
openaire +2 more sources
Parameter shifts for nonautonomous systems in low dimension: Bifurcation- and Rate-induced tipping [PDF]
We discuss the nonlinear phenomena of irreversible tipping for non-autonomous systems where time-varying inputs correspond to a smooth "parameter shift" from one asymptotic value to another.
Ashwin, Peter +2 more
core +2 more sources
Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley +1 more source
Pre‐IPO Tokens: Trading in the Dark
ABSTRACT Pre‐IPO tokens offer a new way for individual investors to access the private equity markets. However, without access to the private firm or to regulated public disclosures, token traders operate under extreme information asymmetry. This paper examines the behavior of the pre‐IPO token market around private funding events, such as venture ...
Johnathon Cziffra, Margaret Fong
wiley +1 more source

