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Existence of pullback attractors for pullback asymptotically compact processes [PDF]

open access: yesNonlinear Analysis: Theory, Methods & Applications, 2010
This paper is concerned with the existence of pullback attractors for evolution processes. Our aim is to provide results that extend the following results for autonomous evolution processes (semigroups) i) An autonomous evolution process which is bounded dissipative and asymptotically compact has a global attractor.
Tomas Caraballo   +2 more
exaly   +4 more sources

Pullback exponential attractors

open access: yesDiscrete and Continuous Dynamical Systems, 2010
In this work, we show how to construct a pullback exponential attractor associated with an infinite dimensional dynamical system, i.e., a family of time dependent compact sets, with finite fractal dimension, which are positively invariant and exponentially attract in the pullback sense every bounded set of the phase space.
Jose A Langa
exaly   +2 more sources
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Learning Pullback HMM Distances

IEEE Transactions on Pattern Analysis and Machine Intelligence, 2014
Recent work in action recognition has exposed the limitations of methods which directly classify local features extracted from spatio-temporal video volumes. In opposition, encoding the actions' dynamics via generative dynamical models has a number of attractive features: however, using all-purpose distances for their classification does not ...
Fabio, Cuzzolin, Michael, Sapienza
openaire   +2 more sources

Pullback Versus Feedback

Human Systems Management, 1980
The purpose of this paper is to present a structural approach appropriate for the processes with multiple evaluations, and, more generally, to processes with evolutive sets of evaluations. The key point is that humans naturally aggregate partial evaluations in order to achieve structural stability.
openaire   +1 more source

Hilbert Rings Arising as Pullbacks

Canadian Mathematical Bulletin, 1992
AbstractLet R be the pullback A ×cB, where B → C is a surjective homomorphism of commutative rings and A is a subring of C. It is shown that R and C are Hilbert rings if and only if A and B are Hilbert rings. Applications are given to the D + XE[X], D + M, and D + (X1,..., Xn)Ds[X1,..., Xn] constructions. For these constructions, new examples are given
ANDERSON DF, DOBBS DE, FONTANA, Marco
openaire   +1 more source

Forward and pullback attraction on pullback attractors

SeMA Journal, 2010
Pullback attractors are important elements to study the asymptotic behaviour for nonautonomous PDEs because they copy the pullback dynamic of the system inside them. Although pullback and forward dynamic may not be related, there exist some cases when the trajectories converge forward in time to the pullback attractor.
openaire   +1 more source

Pullbacks in Regular Categories

Canadian Mathematical Bulletin, 1973
Given a pair of mapsin a category, we would like to know whether they form part of a pullback diagram as follows:I am indebted to Basil Rattray for mentioning the solution of this problem for the category of sets. Here we shall solve it for any regular category in the sense of Barr [1].It will be useful to make the following definition.
openaire   +1 more source

Tree Oriented Pullback

Communications in Algebra, 2015
Given two epimorphisms of algebras A ↠ B and C ↠ B, we consider the pullback R. We introduce a particular class of algebras, the tree oriented pullback, where there is a close relationship between the category of indecomposable modules of these algebras. This leads us to prove that if A and C are hereditary algebras, then R is a tilted algebra.
Viktor Bekkert   +2 more
openaire   +1 more source

Pullback Moduli Spaces

Communications in Algebra, 2009
Geometric invariant theory can be used to construct moduli spaces associated to representations of finite dimensional algebras. One difficulty which occurs in various natural cases is that nonisomorphic modules are sent to the same point in the moduli spaces which arise.
Frauke M. Bleher, Ted Chinburg
openaire   +1 more source

Pullback trajectory attractors

Evolution Equations and Control Theory
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Samprogna, Rodrigo Antonio   +1 more
openaire   +1 more source

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