Bifurcation between superstable periodic orbits and chaos in a simple spiking circuit

Authors:
Yuji Kawai;Toshimichi Saito
Affiliations:
EE Dept., Hosei University, Koganei, Tokyo, Japan;EE Dept., Hosei University, Koganei, Tokyo, Japan
Venue:
ICONIP'08 Proceedings of the 15th international conference on Advances in neuro-information processing - Volume Part I
Year:
2008

Citing 4
Cited 0

Synchronization of pulse-coupled biological oscillators

SIAM Journal on Applied Mathematics
Synchrony and desynchrony in integrate-and-fire oscillators

Neural Computation
Weakly pulse-coupled oscillators, FM interactions, synchronization, and oscillatory associative memory

IEEE Transactions on Neural Networks
Grouping synchronization in a pulse-coupled network of chaotic spiking oscillators

IEEE Transactions on Neural Networks

Quantified Score

Hi-index	0.00

Visualization

Abstract

This paper studies typical nonlinear dynamics of spiking circuit including two capacitors. Applying impulsive switching depending on both state and time, the circuit can exhibit rich chaotic/periodic phenomena. We pay special attention to superstable periodic orbits and related bifurcation phenomena. The circuit dynamics can be simplified into a piecewise linear one-dimensional return map that enables us to analyze basic bifurcation phenomena precisely.