AA << consider a two-dimensional array of heterogeneous nonlocally coupled phase oscillators on a flat torus and study the bound states of two counter-rotating spiral chimeras, shortly two-core spiral chimeras, observed in this system. In contrast to other known spiral chimeras with motionless incoherent cores, the two-core spiral chimeras typically show a drift motion. Due to this drift, their incoherent cores become spatially modulated and develop specific fingerprint patterns of varying synchrony levels. >>
Numerical analysis of Ott-Antonsen equation allows << to reveal the stability region of different spiral chimeras, which (AA) group into three main classes—symmetric, asymmetric, and meandering spiral chimeras. >>️
Martin Bataille-Gonzalez, Marcel G. Clerc, Oleh E. Omel'chenko. Moving spiral wave chimeras. Phys. Rev. E 104, L022203 (Letter). Aug 20, 2021.
Also (Ott-Antonsen equation)
<< Synchronization in Nature.
Generic behavior involving a large ensemble of nearly identical oscillators that are weakly coupled.
- Cellular clocks in the brain.
- Pacemaker cells in the heart.
- Flashing fire flies.
- Deep Brain Stimulation (DBS) treatment for Parkinson’s.
- Pedestrians on a bridge.
- Many more.
>>
Steven Strogatz
Thomas M. Antonsen Jr. and Edward Ott. Synchronization: What can a plasma physicis say about generic collective behavior? (Happy Birthday Nat!) (Presentation). In: Solved and Unsolved Problems In Plasma Physics. Symposium. Princeton, New Jersey. Mar 28-30, 2016.
