Simulation of chaotic EEG patterns with a dynamic model of the olfactory system
Biological Cybernetics
Synchronization of pulse-coupled biological oscillators
SIAM Journal on Applied Mathematics
Testing for nonlinearity in time series: the method of surrogate data
Conference proceedings on Interpretation of time series from nonlinear mechanical systems
Synchrony in excitatory neural networks
Neural Computation
Associative dynamics in a chaotic neural network
Neural Networks
Physica D
Global and local synchrony of coupled neurons in small-world networks
Biological Cybernetics
Chaotic pattern transitions in pulse neural networks
Neural Networks
Type i membranes, phase resetting curves, and synchrony
Neural Computation
IEEE Transactions on Neural Networks
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The dependence of the dynamics of pulse-coupled neural networks on random rewiring of excitatory and inhibitory connections is examined. When both excitatory and inhibitory connections are rewired, periodic synchronization emerges with a Hopf-like bifurcation and a subsequent period-doubling bifurcation; chaotic synchronization is also observed. When only excitatory connections are rewired, periodic synchronization emerges with a saddle node-like bifurcation, and chaotic synchronization is also observed. This result suggests that randomness in the system does not necessarily contaminate the system, and sometimes it even introduces rich dynamics to the system such as chaos.