TY  - JOUR
A1  - Franović, Igor
A1  - Omel'chenko, Oleh
A1  - Wolfrum, Matthias
T1  - Bumps, chimera states, and Turing patterns in systems of coupled active rotators
JF  - Physical review : E, Statistical, nonlinear and soft matter physics
N2  - Self-organized coherence-incoherence patterns, called chimera states, have first been reported in systems of Kuramoto oscillators. For coupled excitable units, similar patterns where coherent units are at rest are called bump states. Here, we study bumps in an array of active rotators coupled by nonlocal attraction and global repulsion. We demonstrate how they can emerge in a supercritical scenario from completely coherent Turing patterns: a single incoherent unit appears in a homoclinic bifurcation, undergoing subsequent transitions to quasiperiodic and chaotic behavior, which eventually transforms into extensive chaos with many incoherent units. We present different types of transitions and explain the formation of coherence-incoherence patterns according to the classical paradigm of short-range activation and long-range inhibition.
Y1  - 2021
U6  - https://doi.org/10.1103/PhysRevE.104.L052201
SN  - 2470-0045
SN  - 2470-0053
VL  - 104
IS  - 5
PB  - American Physical Society
CY  - College Park
ER  -