Abstract
We consider the dynamics of a 2D lattice of nonlocally coupled FitzHugh-Nagumo oscillators in the regime of bistability. Special attention is paid to the study of influence both of the type of boundary conditions and of the features of the oscillator interaction on the formation of wave regimes and spatiotemporal structures. It is shown that shifting the effective values of the control parameters of partial oscillators under the influence of coupling significantly changes their dynamics and can lead to switching of the dynamical regimes of the whole system. We also calculate the local indexes of sensitivity and the Lyapunov exponents to quantify the observed regimes. A spiral chimera regime is found in the lattice under study for the case of zero flux boundary conditions. It is revealed that the system is in the hyperchaotic regime for this chimera state. We also explain the mechanisms of emergence of the double-well and spiral chimera states which are realized in the lattice.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
More From: Communications in Nonlinear Science and Numerical Simulation
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.