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

^*此作品的通信作者

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

4 引文斯高帕斯（Scopus）

摘要

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.

原文	英語
文章編號	679839
期刊	Abstract and Applied Analysis
卷	2013
DOIs	https://doi.org/10.1155/2013/679839
出版狀態	已發佈 - 2013

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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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AB - 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

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