Generating chaos in Chua's circuit via time-delay feedback

2001 ◽  
Vol 48 (9) ◽  
pp. 1151-1156 ◽  
Author(s):  
Xiao Fan Wang ◽  
Guo-Qun Zhong ◽  
Kit-Sang Tang ◽  
K.F. Man ◽  
Zhi-Feng Liu
Keyword(s):  
Time Delay ◽  
Chua’S Circuit ◽  
Chua's Circuit

Bifurcation analysis of a fractional order time-delay Chua’s circuit based on coupled memristors

2019 ◽  
Vol 33 (30) ◽  
pp. 1950366
Author(s):  
Dawei Ding ◽  
Yecui Weng ◽  
Yongbing Hu ◽  
Zongli Yang
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Coupling Strength ◽  
Coupling Effect ◽  
Phase Portraits ◽  
Chua’S Circuit ◽  
Chua's Circuit ◽  
Integer Order ◽  
Dynamical Characteristics ◽  
Memristive System

In this paper, a fractional-order (and an integer-order) chaotic system, obtained from Chua’s circuit by substituting Chua’s diode with two active coupled memristors (MRs) characterized by quadratic nonlinearity, is introduced to probe the memristive coupling effect. Two MRs connected in parallel are coupled by the flux. For the integer-order memristive system, the dynamical characteristics depending on the coupling strength coefficient between MRs without changing the circuit parameters are illustrated theoretically and numerically by using phase portraits, time domain diagram, bifurcation diagram and the Lyapunov diagram. Then based on the Adams–Bashforth–Moulton algorithm, the study of dynamic behavior of the fractional-order memristive system containing the time-delay reveals that appropriately setting the coupling strength between MRs generates more interesting attractors that differ from its integer-order counterpart. Besides, the effects of the order and the time-delay on dynamics are discussed briefly. Finally, the simulation results verify the validity of the theoretical analysis.

scholarly journals Measurement of Chua chaos and its applications

2008 ◽  
Vol 6 (01) ◽  
Author(s):  
Ricardo Núñez Pérez
Keyword(s):  
Time Delay ◽  
Automatic System ◽  
Chaotic Dynamic ◽  
Chaotic Sequence ◽  
Chua’S Circuit ◽  
Measurement Circuit ◽  
Chua's Circuit ◽  
Original Measurement

The present paper shows a single and original measurement circuit, using instantaneous and average readouts of the chaotic dynamic of a Chua’s circuit Vc1(x1) signal with binary decryption, synchrony qualification and chaotic sequence applications. The circuit was simulated (Workbench), developed and tested with our Dadisp Test Automatic System. In operation, the circuit was efficient and successful and could be redesigned to quantify the chaotic dynamic of multiple scrolls and time-delay Chua circuits.

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