Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
865089 | Procedia IUTAM | 2012 | 7 Pages |
Abstract
Phase reduction theory for stable limit-cycle solutions of one-dimensional reaction-diffusion systems is developed. By locally approximating the isochrons of the limit-cycle orbit, we derive the phase sensitivity function, which is a key quantity in the phase description of limit cycles. As an example, synchronization of traveling pulses in a pair of mutually interacting reaction-diffusion systems is analyzed. It is shown that the traveling pulses can exhibit multi–modal phase locking.
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)