Title :
A four-dimensional hyperchaotic spiking neuron
Author :
Takahashi, Yusuke ; Nakano, Hidehiro ; Saito, Toshimichi
Author_Institution :
Dept. of EECE, Hosei Univ., Tokyo, Japan
Abstract :
This paper presents a circuit model of a four-dimensional (4D) spiking neuron. The circuit is piecewise linear and the dynamics can be analyzed by exact piecewise solutions. Using a 2D return map, we show that the neuron can exhibit rich interesting phenomena including hyperchaos. Basic classification of typical phenomena is also given. Simple implementation circuits are presented and typical phenomena can be verified in the laboratory.
Keywords :
Lyapunov methods; bioelectric potentials; chaos; dynamics; neural nets; neurophysiology; 2D return map; 4D hyperchaotic spiking neuron; Lyapunov exponents; dynamics; hyperchaos; neuron models; piecewise linear circuit; synchronization; Bifurcation; Chaos; Eigenvalues and eigenfunctions; Equations; Neurons; Piecewise linear techniques; Switched capacitor networks; Switches; Switching circuits; Threshold voltage;
Conference_Titel :
Neural Information Processing, 2002. ICONIP '02. Proceedings of the 9th International Conference on
Print_ISBN :
981-04-7524-1
DOI :
10.1109/ICONIP.2002.1202193
