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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/2408.02527 |
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| _version_ | 1866908882378424320 |
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| author | Almirantis, Yannis Li, Wentian |
| author_facet | Almirantis, Yannis Li, Wentian |
| contents | Repeatedly adding or subtracting the digital reversal to or from an integer, depending on which one is larger, can be treated as a dynamical system. On one hand, a three-digit version of this map running only two steps is the 1089 mathematical trick problem; on the other hand, this mapping can be compared to John Conway's reverse-add-then-sort (RATS) iteration, as well as the 3x+1 problem, also known as Collatz's map. We numerically run this map and find interesting dynamics, including limiting cycles with unusual periodicity and length-8 diverging trajectories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_02527 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rich dynamical behaviors from a digital reversal operation Almirantis, Yannis Li, Wentian Chaotic Dynamics Repeatedly adding or subtracting the digital reversal to or from an integer, depending on which one is larger, can be treated as a dynamical system. On one hand, a three-digit version of this map running only two steps is the 1089 mathematical trick problem; on the other hand, this mapping can be compared to John Conway's reverse-add-then-sort (RATS) iteration, as well as the 3x+1 problem, also known as Collatz's map. We numerically run this map and find interesting dynamics, including limiting cycles with unusual periodicity and length-8 diverging trajectories. |
| title | Rich dynamical behaviors from a digital reversal operation |
| topic | Chaotic Dynamics |
| url | https://arxiv.org/abs/2408.02527 |