Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 128, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.cnsns.2023.107676
Keywords
Network; Nonlocal coupling; Chaotic maps; Chimera state; Solitary state; Noise modulation; Color noise; White noise
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This study investigates the spatio-temporal dynamics of networks of chaotic discrete-time systems in the presence of colored Gaussian noise-modulated nonlocal coupling. The results show that the dynamics and spatio-temporal structures of the network can be controlled by varying the intensity and spectral characteristics of the coupling noise.
The spatio-temporal dynamics of networks of chaotic discrete-time systems is studied numerically in the presence of colored Gaussian noise-modulated nonlocal coupling between elements. As individual nodes of the networks, a modified Ricker map and a cubic map are used. Without noise, the networks demonstrate various types of chimera states, such as phase or double-well chimeras. The nonlocal coupling is modulated by either a common noise source or independent noise sources. The impact of noise-modulated coupling (coupling noise) on the dynamics of the networks is analyzed for a number of different random initial conditions and noise realizations. It is shown that the network dynamics and settled spatio-temporal structures can be controlled by varying the intensity and spectral characteristics of the coupling noise.
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