scholarly journals Implementation of a Microcontroller-Based Chaotic Circuit of Lorenz Equations

2020 ◽  
Author(s):  
Şuayb Çağrı YENER ◽  
Reşat MUTLU ◽  
Ertuğrul KARAKULAK
Keyword(s):  
Lorenz Equations ◽  
Chaotic Circuit

scholarly journals Coexisting Attractors and Multistability in a Simple Memristive Wien-Bridge Chaotic Circuit

Entropy ◽  
2019 ◽  
Vol 21 (7) ◽  
pp. 678 ◽  
Author(s):  
Yixuan Song ◽  
Fang Yuan ◽  
Yuxia Li
Keyword(s):  
Chaotic System ◽  
Analog Circuit ◽  
Random Sequence ◽  
Mathematical Expression ◽  
Digital Signal ◽  
Approximate Entropy ◽  
Chaotic Circuit ◽  
Coexisting Attractors ◽  
Key Space ◽  
Sequence Generator

In this paper, a new voltage-controlled memristor is presented. The mathematical expression of this memristor has an absolute value term, so it is called an absolute voltage-controlled memristor. The proposed memristor is locally active, which is proved by its DC V–I (Voltage–Current) plot. A simple three-order Wien-bridge chaotic circuit without inductor is constructed on the basis of the presented memristor. The dynamical behaviors of the simple chaotic system are analyzed in this paper. The main properties of this system are coexisting attractors and multistability. Furthermore, an analog circuit of this chaotic system is realized by the Multisim software. The multistability of the proposed system can enlarge the key space in encryption, which makes the encryption effect better. Therefore, the proposed chaotic system can be used as a pseudo-random sequence generator to provide key sequences for digital encryption systems. Thus, the chaotic system is discretized and implemented by Digital Signal Processing (DSP) technology. The National Institute of Standards and Technology (NIST) test and Approximate Entropy analysis of the proposed chaotic system are conducted in this paper.

Nonlinear dynamos: A complex generalization of the Lorenz equations

1985 ◽  
Vol 14 (2) ◽  
pp. 161-176 ◽  
Author(s):  
C.A. Jones ◽  
N.O. Weiss ◽  
F. Cattaneo
Keyword(s):  
Lorenz Equations

scholarly journals DESIGN OF TIME DELAYED CHAOTIC CIRCUIT WITH THRESHOLD CONTROLLER

2011 ◽  
Vol 21 (03) ◽  
pp. 725-735 ◽  
Author(s):  
K. SRINIVASAN ◽  
I. RAJA MOHAMED ◽  
K. MURALI ◽  
M. LAKSHMANAN ◽  
SUDESHNA SINHA
Keyword(s):  
Numerical Simulations ◽  
Linear Function ◽  
Piecewise Linear ◽  
Piecewise Linear Function ◽  
Operational Amplifiers ◽  
Phase Portraits ◽  
Chaotic Attractors ◽  
Chaotic Oscillator ◽  
Threshold Values ◽  
Chaotic Circuit

A novel time delayed chaotic oscillator exhibiting mono- and double scroll complex chaotic attractors is designed. This circuit consists of only a few operational amplifiers and diodes and employs a threshold controller for flexibility. It efficiently implements a piecewise linear function. The control of piecewise linear function facilitates controlling the shape of the attractors. This is demonstrated by constructing the phase portraits of the attractors through numerical simulations and hardware experiments. Based on these studies, we find that this circuit can produce multi-scroll chaotic attractors by just introducing more number of threshold values.

Optimal Synchronization of a Memristive Chaotic Circuit

2016 ◽  
Vol 26 (06) ◽  
pp. 1650093 ◽  
Author(s):  
Michaux Kountchou ◽  
Patrick Louodop ◽  
Samuel Bowong ◽  
Hilaire Fotsin ◽  
Jurgen Kurths
Keyword(s):  
Numerical Simulations ◽  
Chaos Synchronization ◽  
Chaotic Systems ◽  
Analog Circuit ◽  
Electronic Circuit ◽  
Dynamical Behavior ◽  
Circuit Implementation ◽  
Chaotic Circuit ◽  
Dynamical Properties ◽  
Analog Circuit Implementation

This paper deals with the problem of optimal synchronization of two identical memristive chaotic systems. We first study some basic dynamical properties and behaviors of a memristor oscillator with a simple topology. An electronic circuit (analog simulator) is proposed to investigate the dynamical behavior of the system. An optimal synchronization strategy based on the controllability functions method with a mixed cost functional is investigated. A finite horizon is explicitly computed such that the chaos synchronization is achieved at an established time. Numerical simulations are presented to verify the effectiveness of the proposed synchronization strategy. Pspice analog circuit implementation of the complete master-slave-controller systems is also presented to show the feasibility of the proposed scheme.

COUPLED INDUCTORS-BASED CHAOTIC COLPITTS OSCILLATOR

2011 ◽  
Vol 21 (02) ◽  
pp. 569-574 ◽  
Author(s):  
ARTURO BUSCARINO ◽  
LUIGI FORTUNA ◽  
MATTIA FRASCA ◽  
GREGORIO SCIUTO
Keyword(s):  
Bifurcation Diagram ◽  
Oscillation Frequency ◽  
Control Parameter ◽  
External Control ◽  
Chaotic Circuit ◽  
Colpitts Oscillator ◽  
Variable Resistor ◽  
Coupled Inductors

In this paper, a new chaotic circuit is introduced, conceived by considering a Colpitts oscillator with the inclusion of two further elements: a coupled inductor and a variable resistor. The proposed circuit exhibits a rich dynamics that has been experimentally characterized through the bifurcation diagram with respect to the resistor value. The main result that can be derived from the analysis of the new circuit leads to a simple way to control chaos in the chaotic Colpitts oscillator by varying a single external control parameter. The same technique has then been applied to the classical periodic Colpitts oscillator, demonstrating how in this way the oscillation frequency can be controlled.

A novel chaotic circuit with coexistence of multiple attractors and state transition based on two memristors

2021 ◽  
Vol 152 ◽  
pp. 111363
Author(s):  
Xujiong Ma ◽  
Jun Mou ◽  
Li Xiong ◽  
Santo Banerjee ◽  
Yinghong Cao ◽  
...  
Keyword(s):  
State Transition ◽  
Chaotic Circuit ◽  
Multiple Attractors ◽  
Coexistence Of Multiple Attractors
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