Abstract
Rogue waves are an intriguing nonlinear phenomenon arising across different scales, ranging from ocean waves through optics to Bose-Einstein condensates. We describe the emergence of rogue wave-like dynamics in a reaction-diffusion system that arise as a result of a subcritical Turing instability. This state is present in a regime where all time-independent states are unstable and consists of intermittent excitation of spatially localized spikes, followed by collapse to an unstable state and subsequent regrowth. We characterize the spatiotemporal organization of spikes and show that in sufficiently large domains the dynamics are consistent with a memoryless process.
Original language | American English |
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Article number | 051103 |
Journal | Chaos |
Volume | 34 |
Issue number | 5 |
DOIs | |
State | Published - 1 May 2024 |
All Science Journal Classification (ASJC) codes
- Applied Mathematics
- Statistical and Nonlinear Physics
- General Physics and Astronomy
- Mathematical Physics