# gst: drift motion of two-core spiral chimeras (grouped into 3 main classes, symmetrical, asymmetrical, and meandering spiral)

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.

https://journals.aps.org/pre/abstract/10.1103/PhysRevE.104.L022203

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. 

https://fisch-fest2016.pppl.gov/presentations/1-10-Antonsen.pdf