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Forward and pullback attraction on pullback attractors
SeMA Journal, 2010Pullback 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.
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, 2017 The aim of this course is the study of the pullback equation. More precisely we want to find a map \(\varphi: \mathbb{R}^{n} \rightarrow \mathbb{R}^{n},\) preferably we want this map to be a diffeomorphism, that satisfies the above equation, where f, g are differential k-forms, 0 ≤ k ≤ n. Most of the time we will require these two forms to be closed.
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2012
The global attractor, whose well established definition we recall below, is an object that captures the asymptotic behaviour of autonomous systems. The aim of this chapter is to introduce the ‘pullback attractor’, which seems to be the correct generalisation of this concept for use with non-autonomous processes.
José A. Langa +2 more
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The global attractor, whose well established definition we recall below, is an object that captures the asymptotic behaviour of autonomous systems. The aim of this chapter is to introduce the ‘pullback attractor’, which seems to be the correct generalisation of this concept for use with non-autonomous processes.
José A. Langa +2 more
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1991
We interrupt our study of differential calculus to apply the results of Section 4 of Chapter 7 to the outstanding problem of evaluating pullbacks.
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We interrupt our study of differential calculus to apply the results of Section 4 of Chapter 7 to the outstanding problem of evaluating pullbacks.
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2017
This chapter develops a number of analogous results on Henselian Pullbacks. It seeks to characterize Henselian valuation domains through corollaries based on the characterization of valuation domains as the quasilocal integrally closed coherent going-down domains. The chapter also gives an application of the results on Henselian pullbacks.
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This chapter develops a number of analogous results on Henselian Pullbacks. It seeks to characterize Henselian valuation domains through corollaries based on the characterization of valuation domains as the quasilocal integrally closed coherent going-down domains. The chapter also gives an application of the results on Henselian pullbacks.
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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.
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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.
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Pullback in knowledge engineering
Human Systems Management, 1984Introduction Constantin Virgil NegoiVt received his PhD in Information Sciences from the Polytechnic Institute of Bucharest in 1969. He was Professor of system theory at the Faculty of Economic Cybernetics and head of the research laboratory at the Institute of Management and Informatics, Bucharest, Romania.
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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
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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
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