Oscillatory and chaotic pattern dynamics driven by surface curvature
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914619785740288 |
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| author | Nishide, Ryosuke Ishihara, Shuji |
| author_facet | Nishide, Ryosuke Ishihara, Shuji |
| contents | Patterns on curved surfaces are ubiquitous, yet the influence of surface geometry on pattern dynamics remains elusive. We recently reported a new mechanism of pattern propagation in which a static pattern on a flat plane becomes a propagating pattern on a curved surface [Nishide and Ishihara, Phys. Rev. Lett. 2022]. Here, we address whether surface curvature can drive more complex pattern dynamics beyond propagation. By employing a combination of weakly nonlinear analysis and numerical simulation, we show that oscillatory and chaotic pattern dynamics can emerge by controlling the surface shapes. These findings highlight a new role of surface topography in pattern formation and dynamics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_12442 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Oscillatory and chaotic pattern dynamics driven by surface curvature Nishide, Ryosuke Ishihara, Shuji Chaotic Dynamics Pattern Formation and Solitons Biological Physics Patterns on curved surfaces are ubiquitous, yet the influence of surface geometry on pattern dynamics remains elusive. We recently reported a new mechanism of pattern propagation in which a static pattern on a flat plane becomes a propagating pattern on a curved surface [Nishide and Ishihara, Phys. Rev. Lett. 2022]. Here, we address whether surface curvature can drive more complex pattern dynamics beyond propagation. By employing a combination of weakly nonlinear analysis and numerical simulation, we show that oscillatory and chaotic pattern dynamics can emerge by controlling the surface shapes. These findings highlight a new role of surface topography in pattern formation and dynamics. |
| title | Oscillatory and chaotic pattern dynamics driven by surface curvature |
| topic | Chaotic Dynamics Pattern Formation and Solitons Biological Physics |
| url | https://arxiv.org/abs/2403.12442 |