TY - JOUR
T1 - Non linear dynamics of memristor based 3rd order oscillatory system
AU - Talukdar, Abdul Hafiz Ibne
AU - Radwan, Ahmed G.
AU - Salama, Khaled N.
N1 - KAUST Repository Item: Exported on 2020-10-01
PY - 2012/1/14
Y1 - 2012/1/14
N2 - In this paper, we report for the first time the nonlinear dynamics of three memristor based phase shift oscillators, and consider them as a plausible solution for the realization of parametric oscillation as an autonomous linear time variant system. Sustained oscillation is reported through oscillating resistance while time dependent poles are present. The memristor based phase shift oscillator is explored further by varying the parameters so as to present the resistance of the memristor as a time varying parameter, thus potentially eliminating the need of external periodic forces in order for it to oscillate. Multi memristors, used simultaneously with similar and different parameters, are investigated in this paper. Mathematical formulas for analyzing such oscillators are verified with simulation results and are found to be in good agreement. © 2011 Elsevier Ltd. All rights reserved.
AB - In this paper, we report for the first time the nonlinear dynamics of three memristor based phase shift oscillators, and consider them as a plausible solution for the realization of parametric oscillation as an autonomous linear time variant system. Sustained oscillation is reported through oscillating resistance while time dependent poles are present. The memristor based phase shift oscillator is explored further by varying the parameters so as to present the resistance of the memristor as a time varying parameter, thus potentially eliminating the need of external periodic forces in order for it to oscillate. Multi memristors, used simultaneously with similar and different parameters, are investigated in this paper. Mathematical formulas for analyzing such oscillators are verified with simulation results and are found to be in good agreement. © 2011 Elsevier Ltd. All rights reserved.
UR - http://hdl.handle.net/10754/235292
UR - http://linkinghub.elsevier.com/retrieve/pii/S002626921100262X
UR - http://www.scopus.com/inward/record.url?scp=84857059767&partnerID=8YFLogxK
U2 - 10.1016/j.mejo.2011.12.012
DO - 10.1016/j.mejo.2011.12.012
M3 - Article
SN - 0026-2692
VL - 43
SP - 169
EP - 175
JO - Microelectronics Journal
JF - Microelectronics Journal
IS - 3
ER -