Abstract
The time interval sequences and the spatio-temporal patterns of the firings of a coupled neuronal network are investigated in this paper. For a single neuron stimulated by an external stimulus I, the time interval sequences show a low frequency firing of bursts of spikes, and reversed period-doubling cascade to a high frequency repetitive firing state as the stimulus I is increased. For two neurons coupled to each other through the firing of the spikes, the complexity of the time interval sequences becomes simple as the coupling strength increases. A network with large numbers of neurons shows a complex spatio-temporal pattern structure. As the coupling strength increases, the numbers of phase locked neurons increase and the time interval diagram shows temporal chaos and a bifurcation in the space. The dynamical behaviour is also verified by the Lyapunov exponent. (author). 17 refs, 6 figs.
Citation Formats
Wang, Wei, Perez, G, and Cerdeira, H A.
Dynamical behaviour of the firing in coupled neuronal system.
IAEA: N. p.,
1993.
Web.
Wang, Wei, Perez, G, & Cerdeira, H A.
Dynamical behaviour of the firing in coupled neuronal system.
IAEA.
Wang, Wei, Perez, G, and Cerdeira, H A.
1993.
"Dynamical behaviour of the firing in coupled neuronal system."
IAEA.
@misc{etde_10151847,
title = {Dynamical behaviour of the firing in coupled neuronal system}
author = {Wang, Wei, Perez, G, and Cerdeira, H A}
abstractNote = {The time interval sequences and the spatio-temporal patterns of the firings of a coupled neuronal network are investigated in this paper. For a single neuron stimulated by an external stimulus I, the time interval sequences show a low frequency firing of bursts of spikes, and reversed period-doubling cascade to a high frequency repetitive firing state as the stimulus I is increased. For two neurons coupled to each other through the firing of the spikes, the complexity of the time interval sequences becomes simple as the coupling strength increases. A network with large numbers of neurons shows a complex spatio-temporal pattern structure. As the coupling strength increases, the numbers of phase locked neurons increase and the time interval diagram shows temporal chaos and a bifurcation in the space. The dynamical behaviour is also verified by the Lyapunov exponent. (author). 17 refs, 6 figs.}
place = {IAEA}
year = {1993}
month = {Mar}
}
title = {Dynamical behaviour of the firing in coupled neuronal system}
author = {Wang, Wei, Perez, G, and Cerdeira, H A}
abstractNote = {The time interval sequences and the spatio-temporal patterns of the firings of a coupled neuronal network are investigated in this paper. For a single neuron stimulated by an external stimulus I, the time interval sequences show a low frequency firing of bursts of spikes, and reversed period-doubling cascade to a high frequency repetitive firing state as the stimulus I is increased. For two neurons coupled to each other through the firing of the spikes, the complexity of the time interval sequences becomes simple as the coupling strength increases. A network with large numbers of neurons shows a complex spatio-temporal pattern structure. As the coupling strength increases, the numbers of phase locked neurons increase and the time interval diagram shows temporal chaos and a bifurcation in the space. The dynamical behaviour is also verified by the Lyapunov exponent. (author). 17 refs, 6 figs.}
place = {IAEA}
year = {1993}
month = {Mar}
}