Oscillatory and chaotic pattern dynamics driven by surface curvature
Chaotic Dynamics
2024-03-27 v2 Pattern Formation and Solitons
Biological Physics
Abstract
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.
Cite
@article{arxiv.2403.12442,
title = {Oscillatory and chaotic pattern dynamics driven by surface curvature},
author = {Ryosuke Nishide and Shuji Ishihara},
journal= {arXiv preprint arXiv:2403.12442},
year = {2024}
}