2015/01/01 by Peter Ashwin, Oleksandr Burylko
Computer Science · Engineering · #Nonlinear Dynamics and Pattern Formation #Semiconductor Lasers and Optical Devices #Slime Mold and Myxomycetes Research
paper · doi:10.1063/1.4905197
openalex publication_date 2015/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31
We suggest a definition for a type of chimera state that appears in networks of indistinguishable phase oscillators. Defining a "weak chimera" as a type of invariant set showing partial frequency synchronization, we show that this means they cannot appear in phase oscillator networks that are either globally coupled or too small. We exhibit various networks of four, six, and ten indistinguishable oscillators, where weak chimeras exist with various dynamics and stabilities. We examine the role of Kuramoto-Sakaguchi coupling in giving degenerate (neutrally stable) families of weak chimera states in these example networks.