Dresden 2026 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 22: Pattern Formation

DY 22.1: Talk

Tuesday, March 10, 2026, 09:30–09:45, ZEU/0118

Unexpected wave patterns observed within an extended parameter range of the Barkley model — Vladimir Zykov and •Eberhard Bodenschatz — Max Planck Institute for Dynamics and Self-Organization, D-37077 Goettingen, Germany,

The Barkley model is a widely accepted example of reaction diffusion systems demonstrating different self-organization processes including a creation of self-sustained spiral waves. Recently the study of the spiral wave dynamics performed within the extending parameter region of the Barkley model allowed us to reveal some unexplored features of these processes [1]. The latest computational results performed under a further expansion of the parameter range demonstrate the existence of spiral wave under completely unexpected conditions in monostable and bistable regions. These spirals exhibit absolutely unusual instability, which should be investigated. In parallel to spiral waves self-supported wave segments remaining critical fingers have been observed, which also demonstrated a similar unusual instability.

[1] V. S. Zykov and E. Bodenschatz, Unexplored aspects of the spiral wave dynamics in the Barkley model within an extended parameter range, Phys. Rev. E. 110, 064209 (2024).

Keywords: Spiral waves; Critical fingers