Banerjee, Tanmoy ; Bandyopadhyay, Biswabibek ; Zakharova, Anna ; Schöll, Eckehard (2019-02-11)
Amplitude chimera (AC) is an interesting chimera pattern that has been discovered recently and is distinct from other chimera patterns, like phase chimeras and amplitude mediated phase chimeras. Unlike other chimeras, in the AC pattern all the oscillators have the same phase velocity, however, the oscillators in the incoherent domain show periodic oscillations with randomly shifted origin. In t...Chimera States on a Ring of Strongly Coupled Relaxation Oscillators
Rode, Julian ; Totz, Jan Frederik ; Fengler, Enrico ; Engel, Harald (2019-06-19)
Weakly coupled oscillators can exhibit seemingly incongruous synchronization patterns comprised of coherent and incoherent spatial domains known as chimera states. However, the weak coupling approximation is invalid when the characteristic phase response curve of an oscillator does not scale linearly with the coupling strength and instead changes its shape. In chemical experiments with photo-co...Chimeras in Multiplex Networks: Interplay of Inter- and Intra-Layer Delays
Sawicki, Jakub ; Ghosh, Saptarshi ; Jalan, Sarika ; Zakharova, Anna (2019-04-24)
Time delay in complex networks with multiple interacting layers gives rise to special dynamics. We study the scenarios of time delay induced patterns in a three-layer network of FitzHugh-Nagumo oscillators. The topology of each layer is given by a nonlocally coupled ring. For appropriate values of the time delay in the couplings between the nodes, we find chimera states, i.e., hybrid spatio-tem...Control of Chimera States in Multilayer Networks
Omelchenko, Iryna ; Hülser, Tobias ; Zakharova, Anna ; Schöll, Eckehard (2019-01-30)
Chimera states are intriguing complex spatio-temporal patterns of coexisting coherent and incoherent domains. They can often be observed in networks with non-local coupling topology, where each element interacts with its neighbors within a fixed range. In small-size non-locally coupled networks, chimera states usually exhibit short lifetimes and erratic drifting of the spatial position of the i...