Bistability of globally synchronous and chimera states in a ring of phase oscillators coupled by a cosine kernel

P. 211–214.

Denis Zakharov, Olesia Dogonasheva, Boris Gutkin

Chimera states, where coherent and incoherent activity coexists in homogeneous networks, have been a focus of
synchronization theory studies over many years. In this paper, we consider dynamical regimes in a ring of phase oscillators coupled by a cosine kernel using new synchronization criteria - adaptive coherence measure (ACM). We show that the ACMcriterion can be successfully applied for phase oscillator networks. Our measure allowed us to partition the parameter plane into regions along collective dynamics.We discovered that, for the
certain parameter sets, there is the bistability between globally synchronous and chimera states. This bistability allows to control network dynamics by changing the initial conditions and/or the external forcing. This shows the potential flexibility in control over complex network behaviors

Keywords: синхронизация, synchronization, bistability, бистабильность, chimera state, химерное состояние, phase oscillator network, adaptive coherence measure, сеть фазовых осцилляторов, адаптивная мера когерентности

Publication based on the results of: Fundamental study of the mechanisms of brain activity in the performance of cognitive and neuroeconomic tasks in health and disease using psychophysiological, neuroanatomical, neurocomputational and behavioral approaches (2021)

In book

2021 5th Scientific School Dynamics of Complex Networks and their Applications (DCNA)

IEEE, 2021.