Models of musical instruments from Chua's circuit with time delay

1993 ◽  
Vol 40 (10) ◽  
pp. 696-701 ◽  
Author(s):  
X. Rodet
Keyword(s):  
Time Delay ◽  
Musical Instruments ◽  
Chua’S Circuit ◽  
Chua's Circuit

Toward the Use of Chua's Circuit in Education, Art and Interdisciplinary Research: Some Implementation and Opportunities

Leonardo ◽  
2013 ◽  
Vol 46 (5) ◽  
pp. 456-463 ◽  
Author(s):  
Francesca Bertacchini ◽  
Eleonora Bilotta ◽  
Lorella Gabriele ◽  
Pietro Pantano ◽  
Assunta Tavernise
Keyword(s):  
Computer Simulation ◽  
Dynamic Systems ◽  
Interdisciplinary Research ◽  
Digital Images ◽  
Musical Instruments ◽  
Strange Attractors ◽  
Chua’S Circuit ◽  
Design Elements ◽  
Chua's Circuit ◽  
Virtual Museums

This paper considers the merging of Chaos with art, including such forms as digital images, sounds and music, based on dynamic systems derived from Chua's Circuit and using appropriate coding methods. Design elements, logos, musical instruments, software environments, multimedia theater performances and virtual museums with strange attractors have also been realized. In the field of education, the paper introduces environments that have foreseen the virtual manipulation of patterns derived from Chua's Circuit, which has fostered a deeper understanding of the evolution of dynamic systems through computer simulation.

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.

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