2019/11/11 by Anjuman Ara Khatun, Khatun, Anjuman Ara, Haider Hasan Jafri +1
Computer Science · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Neural Networks and Reservoir Computing #Nonlinear Dynamics and Pattern Formation #nlin.CD #stochastic dynamics and bifurcation
paper · pdf · doi:10.48550/arxiv.1911.04154
arxiv created 2019/11/11 · openalex publication_date 2019/11/11 · arxiv updated 2019/11/12 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28
In this work we present a method to control chimera states through linear augmentation. Using an ensemble of globally coupled oscillators, we demonstrate that control over the spatial location of the incoherent or coherent regions of a chimera state in a network can be achieved. This is characterized by exploring their basins of attraction. We also verify the stability of different states present in the coupled systems before and after linear augmentation by calculating the transverse Lyapunov exponent and Master stability function. We observe that the control through this technique is independent of the coupling mechanisms and also on the initial conditions chosen for the creation of chimera states.