Title :
Complicated slow oscillations with simple switching dynamics in piecewise linear neuronal model
Author :
DOI, Shinji ; Kumagai, Sadatoshi
Author_Institution :
Dept. of Electr. Eng., Osaka Univ., Japan
Abstract :
It is shown that a very simple neuronal model with piecewise linear nonlinearity can produce complicated pattern of oscillations with very long period. Using the so-called slow-fast decomposition analysis of singularly perturbed dynamical systems, the generation mechanism of the complicated slow oscillation is explored.
Keywords :
bifurcation; neural nets; nonlinear dynamical systems; oscillations; piecewise linear techniques; singularly perturbed systems; decomposition analysis; oscillation pattern; piecewise linear neuronal model; piecewise linear nonlinearity; slow oscillations; switching dynamics; Bifurcation; Biomembranes; Chaos; Integrated circuit modeling; Neurons; Neuroscience; Nonlinear equations; Piecewise linear approximation; Piecewise linear techniques; Voltage;
Conference_Titel :
Circuits and Systems, 2004. MWSCAS '04. The 2004 47th Midwest Symposium on
Print_ISBN :
0-7803-8346-X
DOI :
10.1109/MWSCAS.2004.1354232
