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Title: Dynamical systems guided design and analysis of silicon oscillators for central pattern generators
Authors: Cohen, Avis H.
Li, Fei
Basu, Arindam
Chang, Chip Hong
Keywords: DRNTU::Engineering::Electrical and electronic engineering
Issue Date: 2012
Source: Li, F., Basu, A., Chang, C. H., & Cohen, A. H. (2012). Dynamical systems guided design and analysis of silicon oscillators for central pattern generators. IEEE transactions on circuits and systems I : regular papers, 59(12), 3046-3059.
Series/Report no.: IEEE transactions on circuits and systems I : regular papers
Abstract: In this paper, a dynamical systems (DS) approach is proposed for the analysis and design of bio-inspired silicon central pattern generator (CPG) systems. Based on this approach, a new leaky-integrate-and-leaky-discharge oscillator circuit is proposed that has dynamical properties closer to biological half-center oscillators while being power and area efficient. The membrane potential charges and discharges through a single resistor eliminating mismatch in charging and discharging phases. Switched-capacitor (SC) and floating-gate wide input linear range operational transconductance amplifier (FGOTA) based approaches have been proposed to implement the resistor. Both approaches enable controllable and large resistances in a small area. Oscillation frequency can be easily controlled by the frequency of switching in SC based and bias current in FGOTA based implementations, which are very useful for global change of oscillation frequency in an array of oscillators. Dynamical systems analysis has shown that when it is used as a single oscillator, the proposed circuit is able to produce a phase response curve (PRC) close to that of a lamprey CPG system. By applying averaging theory to a system of coupled oscillators, the averaged H and G functions for unidirectional and bidirectional coupling cases are obtained. Analysis of these functions shows our circuit's superior capability to achieve entrainment when driven by a periodic input (e.g., from sensory feedback) and reach equilibrium even with high frequency mismatch.
DOI: 10.1109/TCSI.2012.2206433
Rights: © 2012 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. The published version is available at: [].
Fulltext Permission: open
Fulltext Availability: With Fulltext
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