scholarly journals A Memristive Diode Bridge-Based Canonical Chua’s Circuit

Entropy ◽  
2014 ◽  
Vol 16 (12) ◽  
pp. 6464-6476 ◽  
Author(s):  
Mo Chen ◽  
Jingjing Yu ◽  
Qing Yu ◽  
Changdi Li ◽  
Bocheng Bao
Keyword(s):  
Chua’S Circuit ◽  
Chua's Circuit ◽  
Canonical Chua’S Circuit

CHARACTERISATION OF CHAOS IN CHUA'S OSCILLATOR IN TERMS OF UNSTABLE PERIODIC ORBITS

1993 ◽  
Vol 03 (02) ◽  
pp. 411-429 ◽  
Author(s):  
MACIEJ J. OGORZAŁEK ◽  
ZBIGNIEW GALIAS
Keyword(s):  
Periodic Orbits ◽  
Picture Book ◽  
Chaotic Attractors ◽  
Chua’S Circuit ◽  
Unstable Periodic Orbits ◽  
Chua's Circuit ◽  
Chua’S Oscillator ◽  
Canonical Chua’S Circuit

We present a picture book of unstable periodic orbits embedded in typical chaotic attractors found in the canonical Chua's circuit. These include spiral Chua's, double-scroll Chua's and double hook attractors. The "skeleton" of unstable periodic orbits is specific for the considered attractor and provides an invariant characterisation of its geometry.

Coexistence of multiple bifurcation modes in memristive diode-bridge-based canonical Chua’s circuit

2018 ◽  
Vol 105 (7) ◽  
pp. 1159-1169 ◽  
Author(s):  
Bocheng Bao ◽  
Li Xu ◽  
Zhimin Wu ◽  
Mo Chen ◽  
Huagan Wu
Keyword(s):  
Chua’S Circuit ◽  
Chua's Circuit ◽  
Canonical Chua’S Circuit

TORUS BREAKDOWN TO CHAOS VIA PERIOD-3 DOUBLING ROUTE IN A MODIFIED CANONICAL CHUA'S CIRCUIT

2011 ◽  
Vol 21 (07) ◽  
pp. 1987-1998 ◽  
Author(s):  
I. MANIMEHAN ◽  
K. THAMILMARAN ◽  
P. PHILOMINATHAN
Keyword(s):  
Autonomous System ◽  
Chua’S Circuit ◽  
System Behavior ◽  
Chua's Circuit ◽  
Pspice Simulations ◽  
Numerical Studies ◽  
Dynamical Behaviors ◽  
Torus Breakdown ◽  
Canonical Chua’S Circuit

In this paper, we report the dynamical behaviors of a four-dimensional autonomous system, that is, the modified canonical Chua's circuit. An interesting transition of three-tori–period-3 doubling–chaos is observed when the circuit parameters are varied in the range of our choice. Furthermore, the detailed numerical studies of the system behavior with supporting PSPICE simulations and hardware experiments are also presented here.

scholarly journals Memristor-Based Canonical Chua’s Circuit: Extreme Multistability in Voltage-Current Domain and Its Controllability in Flux-Charge Domain

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-13 ◽  
Author(s):  
Han Bao ◽  
Tao Jiang ◽  
Kaibin Chu ◽  
Mo Chen ◽  
Quan Xu ◽  
...  
Keyword(s):  
Current Model ◽  
Phase Portraits ◽  
Initial Condition ◽  
Chua’S Circuit ◽  
Chua's Circuit ◽  
Attraction Basin ◽  
Extreme Multistability ◽  
Canonical Chua’S Circuit ◽  
Flux Charge ◽  
Memristor Emulator

This paper investigates extreme multistability and its controllability for an ideal voltage-controlled memristor emulator-based canonical Chua’s circuit. With the voltage-current model, the initial condition-dependent extreme multistability is explored through analyzing the stability distribution of line equilibrium point and then the coexisting infinitely many attractors are numerically uncovered in such a memristive circuit by the attraction basin and phase portraits. Furthermore, based on the accurate constitutive relation of the memristor emulator, a set of incremental flux-charge describing equations for the memristor-based canonical Chua’s circuit are formulated and a dimensionality reduction model is thus established. As a result, the initial condition-dependent dynamics in the voltage-current domain is converted into the system parameter-associated dynamics in the flux-charge domain, which is confirmed by numerical simulations and circuit simulations. Therefore, a controllable strategy for extreme multistability can be expediently implemented, which is greatly significant for seeking chaos-based engineering applications of multistable memristive circuits.

HYPERCHAOS IN A MEMRISTOR-BASED MODIFIED CANONICAL CHUA'S CIRCUIT

2012 ◽  
Vol 22 (06) ◽  
pp. 1250133 ◽  
Author(s):  
ANDREW L. FITCH ◽  
DONGSHENG YU ◽  
HERBERT H. C. IU ◽  
VICTOR SREERAM
Keyword(s):  
Solid State ◽  
Lyapunov Exponents ◽  
Systematic Study ◽  
Phase Portraits ◽  
Chua’S Circuit ◽  
Bifurcation Diagrams ◽  
Nonlinear Characteristics ◽  
Chua's Circuit ◽  
Canonical Chua’S Circuit

After the successful solid state implementation of the memristor, memristor-based circuits have received a lot of attention. In this paper, a memristor with cubic nonlinear characteristics is employed in the modified canonical Chua's circuit. A systematic study of hyperchaotic behavior in this circuit is performed with the help of nonlinear tools such as Lyapunov exponents, phase portraits and bifurcation diagrams. In particular, an imitative memristor circuit is examined to reveal the construction of hyperchaotic attractors.

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