Amplitude chimeras and chimera death in dynamical networks

7th International Workshop on MUlti-Rate Processes & HYSteresis; 2nd International Workshop on Hysteresis and Slow-Fast Systems

Zakharova, Anna^1 ; Kapeller, Marie^1 ; Schöll, Eckehard^1

Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstrae 36, Berlin

10623, Germany^1

关键词: Amplitude dynamics;    Dynamical networks;    Initial conditions;    Network topology;    Partially coherent;    Spatiotemporal patterns;    Symmetry-breaking;    Transition scenarios;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/727/1/012018/pdf
DOI  :  10.1088/1742-6596/727/1/012018

来源: IOP

【 摘 要 】

We find chimera states with respect to amplitude dynamics in a network of Stuart- Landau oscillators. These partially coherent and partially incoherent spatio-temporal patterns appear due to the interplay of nonlocal network topology and symmetry-breaking coupling. As the coupling range is increased, the oscillations are quenched, amplitude chimeras disappear and the network enters a symmetry-breaking stationary state. This particular regime is a novel pattern which we call chimera death. It is characterized by the coexistence of spatially coherent and incoherent inhomogeneous steady states and therefore combines the features of chimera state and oscillation death. Additionally, we show two different transition scenarios from amplitude chimera to chimera death. Moreover, for amplitude chimeras we uncover the mechanism of transition towards in-phase synchronized regime and discuss the role of initial conditions.