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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.00078 |
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| _version_ | 1866913366485762048 |
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| author | Beck, J. Chen, W. W. L. Yang, Y. |
| author_facet | Beck, J. Chen, W. W. L. Yang, Y. |
| contents | We study some new dynamical systems where the corresponding piecewise linear flow is neither time reversible nor measure preserving. We create a dissipative system by starting with a finite polysquare translation surface, and then modifying it by including a one-sided barrier on a common vertical edge of two adjacent atomic squares, in the form of a union of finitely many intervals. The line flow in this system partitions the system into a transient set and a recurrent set. We are interested in the geometry of these two sets. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_00078 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Irreversible and dissipative systems Beck, J. Chen, W. W. L. Yang, Y. Dynamical Systems Number Theory 37E35, 11K38 We study some new dynamical systems where the corresponding piecewise linear flow is neither time reversible nor measure preserving. We create a dissipative system by starting with a finite polysquare translation surface, and then modifying it by including a one-sided barrier on a common vertical edge of two adjacent atomic squares, in the form of a union of finitely many intervals. The line flow in this system partitions the system into a transient set and a recurrent set. We are interested in the geometry of these two sets. |
| title | Irreversible and dissipative systems |
| topic | Dynamical Systems Number Theory 37E35, 11K38 |
| url | https://arxiv.org/abs/2404.00078 |