https://doi.org/10.1140/epjs/s11734-022-00480-2
Regular Article
Chimera states in a network of identical oscillators with symmetric coexisting attractors
1
Xi’an Key Laboratory of Advanced Photo-electronics Materials and Energy Conversion Device, School of Science, Xijing University, 710123, Xi’an, China
2
Centre for Additive Manufacturing, Chennai institute of Technology, Chennai, India
3
Shaanxi International Joint Research Center for Applied Technology of Controllable Neutron Source School of Science, Xijing University, 710123, Xi’an, China
4
Prathyusha Engineering College, Chennai, India
Received:
5
October
2021
Accepted:
16
February
2022
Published online:
3
March
2022
The chimera states have achieved much interest from researchers of many fields in recent years. Here, the chimera states are investigated in a network of identical oscillators with symmetric coexisting attractors in the ring and multiplex topologies. The effects of various cases are examined by selecting different initial conditions from the basins of attraction. Different states are observed in the network, such as chimera, cluster synchronization, and complete synchronization. The attractors of the oscillators are also under consideration. It is obtained that the attractors of oscillators randomly lye in one of the basins irrespective of the initial conditions and coupling strength. The interlayer synchronization cannot be obtained in the multiplex network, and the layers become synchronized in two symmetric attractors.
© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2022
