AI Article Synopsis
- Oscillons are stable structures that oscillate over time, first observed in Faraday wave experiments, and can transform into jumping oscillons (JOs) that move to different spatial locations.
- The phenomenon of JOs emerges from a specific type of instability in traveling pulses within a three-variable reaction-diffusion system, which is analyzed using numerical methods and bifurcation theory.
- The study also identifies various bound states and patterns of JOs and traveling pulses, indicating potential applications for information handling and storage due to their complex behaviors.
Article Abstract
Oscillons, i.e., immobile spatially localized but temporally oscillating structures, are the subject of intense study since their discovery in Faraday wave experiments. However, oscillons can also disappear and reappear at a shifted spatial location, becoming jumping oscillons (JOs). We explain here the origin of this behavior in a three-variable reaction-diffusion system via numerical continuation and bifurcation theory, and show that JOs are created via a modulational instability of excitable traveling pulses (TPs). We also reveal the presence of bound states of JOs and TPs and patches of such states (including jumping periodic patterns) and determine their stability. This rich multiplicity of spatiotemporal states lends itself to information and storage handling.
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| http://dx.doi.org/10.1103/PhysRevE.104.L062201 | DOI Listing |
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