Chaotification schemes for first-order partial difference equations via sawtooth functions
This paper is concerned with chaotification problems of first-order partial difference equations with non-period boundary conditions. Two chaotification schemes for the difference equations via sawtooth functions are established, and all the controlled systems are proved to be chaotic in the sense o...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Academic Journals Center of Shanghai Normal University
2019-06-01
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| Series: | Journal of Shanghai Normal University (Natural Sciences) |
| Subjects: | |
| Online Access: | http://qktg.shnu.edu.cn/zrb/shsfqkszrb/ch/reader/view_abstract.aspx?file_no=20190306 |
| Summary: | This paper is concerned with chaotification problems of first-order partial difference equations with non-period boundary conditions. Two chaotification schemes for the difference equations via sawtooth functions are established, and all the controlled systems are proved to be chaotic in the sense of both Devaney and Li-Yorke by applying the coupled-expansion theory of general discrete dynamical systems. At the end, one illustrative example is provided. |
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| ISSN: | 1000-5137 1000-5137 |