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Nonlinear Sciences > Chaotic Dynamics
Title: Oscillatory and chaotic pattern dynamics driven by surface curvature
(Submitted on 19 Mar 2024 (v1), last revised 26 Mar 2024 (this version, v2))
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.
Submission history
From: Ryosuke Nishide [view email][v1] Tue, 19 Mar 2024 04:55:30 GMT (8161kb,D)
[v2] Tue, 26 Mar 2024 01:20:55 GMT (8161kb,D)
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