Chaotic semigroups from second order partial differential equations
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Other documents of the author: Conejero, J. Alberto; Lizama, Carlos; murillo arcila, marina
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comunitat-uji-handle3:10234/8635
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Title
Chaotic semigroups from second order partial differential equationsDate
2017-12Publisher
ElsevierBibliographic citation
CONEJERO, J. Alberto; LIZAMA, Carlos; MURILLO-ARCILA, Marina. Chaotic semigroups from second order partial differential equations. Journal of Mathematical Analysis and Applications, 2017, vol. 456, no 1, p. 402-411.Type
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http://www.sciencedirect.com/science/article/pii/S0022247X17306765#aep-article-f ...Version
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Abstract
We give general conditions on given parameters to ensure Devaney and distributional chaos for the solution Co-semigroup corresponding to a class of second-order partial differential equations. We also provide a critical ... [+]
We give general conditions on given parameters to ensure Devaney and distributional chaos for the solution Co-semigroup corresponding to a class of second-order partial differential equations. We also provide a critical parameter that led us to distinguish between stability and chaos for these semigroups. In the case of chaos, we prove that the Co-semigroup admits a strongly mixing measure with full support. We also give concrete examples of partial differential equations, such as the telegraph equation, whose solutions satisfy these properties. [-]
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MINECO and FEDER (grant MTM2016-75963-P) ; CONICYT (Fondecyt Grant number 1140258 and CONICYT-PIA, Anillo ACT1416)Rights
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