Impact of Nonlocal Interaction on Chimera States in Nonlocally Coupled Stuart–Landau Oscillators
K. Premalatha
R. Amuda
Centre for Nonlinear Dynamics, Department of Physics
PSG College of Technology
Coimbatore, TamilNadu-641 004, India
V. K. Chandrasekar
Centre for Nonlinear Science & Engineering
School of Electrical & Electronics Engineering
SASTRA University
Thanjavur-613 401, TamilNadu, India
M. Senthilvelan
M. Lakshmanan
Department of Nonlinear Dynamics
Bharathidasan University
Tiruchirappalli-620 024, TamilNadu, India
Abstract
We investigate the existence of collective dynamical states in nonlocally coupled Stuart–Landau oscillators with symmetry breaking included in the coupling term. We find that the radius of nonlocal interaction and nonisochronicity parameter play important roles in identifying the swing of synchronized states through amplitude chimera states. Collective dynamical states are distinguished with the help of strength of incoherence. Different transition routes to multi-chimera death states are analyzed with respect to the nonlocal coupling radius. In addition, we investigate the existence of collective dynamical states including traveling wave state, amplitude chimera state and multi-chimera death state by introducing higher-order nonlinear terms in the system. We also verify the robustness of the given notable properties for the coupled system.
Keywords: Stuart–Landau oscillators, nonlocal coupling, chimera states
Cite this publication as:
K. Premalatha, R. Amuda, V. K. Chandrasekar, M. Senthilvelan and M. Lakshmanan, "Impact of Nonlocal Interaction on Chimera States in Nonlocally Coupled Stuart–Landau Oscillators," Complex Systems, 30(4), 2021 pp. 513–524.
https://doi.org/10.25088/ComplexSystems.30.4.513
