Frequently hypercyclic and chaotic behavior of some first-order partial differential equation

Cheng Hung Hung; Yu Hsien Chang

doi:10.1155/2013/679839

Frequently hypercyclic and chaotic behavior of some first-order partial differential equation

Cheng Hung Hung^*, Yu Hsien Chang

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

We study a particular first-order partial differential equation which arisen from a biologic model. We found that the solution semigroup of this partial differential equation is a frequently hypercyclic semigroup. Furthermore, we show that it satisfies the frequently hypercyclic criterion, and hence the solution semigroup is also a chaotic semigroup.

Original language	English
Article number	679839
Journal	Abstract and Applied Analysis
Volume	2013
DOIs	https://doi.org/10.1155/2013/679839
Publication status	Published - 2013

ASJC Scopus subject areas

Analysis
Applied Mathematics

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abstract = "We study a particular first-order partial differential equation which arisen from a biologic model. We found that the solution semigroup of this partial differential equation is a frequently hypercyclic semigroup. Furthermore, we show that it satisfies the frequently hypercyclic criterion, and hence the solution semigroup is also a chaotic semigroup.",

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Frequently hypercyclic and chaotic behavior of some first-order partial differential equation

Abstract

ASJC Scopus subject areas

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