Stability Analysis of Periodic Orbits in Digital Spiking Neurons

2016 ◽  
pp. 334-341 ◽  
Author(s):  
Tomoki Hamaguchi ◽  
Kei Yamaoka ◽  
Toshimichi Saito
Keyword(s):  
Stability Analysis ◽  
Periodic Orbits ◽  
Spiking Neurons

AN ADAPTIVE CONTROL ALGORITHM FOR TRACKING UNSTABLE PERIODIC ORBITS

1994 ◽  
Vol 04 (05) ◽  
pp. 1311-1317 ◽  
Author(s):  
VALERY PETROV ◽  
MICHAEL F. CROWLEY ◽  
KENNETH SHOWALTER
Keyword(s):  
Stability Analysis ◽  
Periodic Orbits ◽  
Control Algorithm ◽  
Control Parameter ◽  
Unstable Periodic Orbits ◽  
Automatic Tracking ◽  
Bz Reaction ◽  
Control Scheme ◽  
Adaptive Control Algorithm ◽  
Predictor Corrector

A predictor-corrector control algorithm for stabilizing and tracking unstable periodic orbits is presented. Automatic tracking is made possible by incorporating a stability-analysis subroutine into a map-based control scheme. The method is used to track unstable orbits in the Belousov-Zhabotinsky (BZ) reaction as a laboratory control parameter is varied.

scholarly journals Stability Analysis of Periodic Orbits in a Class of Duffing-Like Piecewise Linear Vibrators

2014 ◽  
Vol 16 ◽  
pp. 08001
Author(s):  
A. El Aroudi ◽  
L. Benadero ◽  
H. Ouakad ◽  
M. Younis
Keyword(s):  
Stability Analysis ◽  
Periodic Orbits ◽  
Piecewise Linear
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