Devaney Chaos and Distributional Chaos in the Solution of Certain Partial Differential Equations

The notion of distributional chaos has been recently added to the study of the linear dynamics of operators and C0-semigroups of operators. We will study this notion of chaos for some examples of C0-semigroups that are already known to be Devaney chaotic.

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Main Authors: Xavier Barrachina, J. Alberto Conejero
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/457019
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author Xavier Barrachina
J. Alberto Conejero
author_facet Xavier Barrachina
J. Alberto Conejero
author_sort Xavier Barrachina
collection DOAJ
description The notion of distributional chaos has been recently added to the study of the linear dynamics of operators and C0-semigroups of operators. We will study this notion of chaos for some examples of C0-semigroups that are already known to be Devaney chaotic.
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institution Kabale University
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series Abstract and Applied Analysis
spelling doaj-art-f0075f25257a4091b5ae68f0fb0704582025-02-03T06:00:37ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/457019457019Devaney Chaos and Distributional Chaos in the Solution of Certain Partial Differential EquationsXavier Barrachina0J. Alberto Conejero1Institut Universitari de Matemàtica Pura i Aplicada, Universitat Politècnica de València, Edifici 8E, 46022 València, SpainInstitut Universitari de Matemàtica Pura i Aplicada, Universitat Politècnica de València, Edifici 8E, 46022 València, SpainThe notion of distributional chaos has been recently added to the study of the linear dynamics of operators and C0-semigroups of operators. We will study this notion of chaos for some examples of C0-semigroups that are already known to be Devaney chaotic.http://dx.doi.org/10.1155/2012/457019
spellingShingle Xavier Barrachina
J. Alberto Conejero
Devaney Chaos and Distributional Chaos in the Solution of Certain Partial Differential Equations
Abstract and Applied Analysis
title Devaney Chaos and Distributional Chaos in the Solution of Certain Partial Differential Equations
title_full Devaney Chaos and Distributional Chaos in the Solution of Certain Partial Differential Equations
title_fullStr Devaney Chaos and Distributional Chaos in the Solution of Certain Partial Differential Equations
title_full_unstemmed Devaney Chaos and Distributional Chaos in the Solution of Certain Partial Differential Equations
title_short Devaney Chaos and Distributional Chaos in the Solution of Certain Partial Differential Equations
title_sort devaney chaos and distributional chaos in the solution of certain partial differential equations
url http://dx.doi.org/10.1155/2012/457019
work_keys_str_mv AT xavierbarrachina devaneychaosanddistributionalchaosinthesolutionofcertainpartialdifferentialequations
AT jalbertoconejero devaneychaosanddistributionalchaosinthesolutionofcertainpartialdifferentialequations