EXPERIMENTAL MODIFICATIONS OF VOA-BASED AUTONOMOUS AND NONAUTONOMOUS CHUA'S CIRCUITS FOR HIGHER DIMENSIONAL OPERATION

2006 ◽  
Vol 16 (09) ◽  
pp. 2649-2658
Author(s):  
RECAI KILIÇ
Keyword(s):  
Experimental Method ◽  
Operational Amplifier ◽  
Experimental Results ◽  
High Dimensional ◽  
Chua’S Circuit ◽  
Chua's Circuit ◽  
Voltage Mode ◽  
Pspice Simulation ◽  
Chua Circuit ◽  
Higher Dimensional

In order to operate in higher dimensional form of autonomous and nonautonomous Chua's circuits keeping their original chaotic behaviors, we have experimentally modified VOA (Voltage Mode Operational Amplifier)-based autonomous Chua's circuit and nonautonomous MLC [Murali–Lakshmanan–Chua] circuit by using a simple experimental method. After introducing this experimental method, we will present PSpice simulation and experimental results of modified high dimensional autonomous and nonautonomous Chua's circuits.

EXPERIMENTAL VERIFICATION OF PYRAGAS’S CHAOS CONTROL METHOD APPLIED TO CHUA’S CIRCUIT

1994 ◽  
Vol 04 (06) ◽  
pp. 1703-1706 ◽  
Author(s):  
P. CELKA
Keyword(s):  
Periodic Orbits ◽  
Experimental Verification ◽  
Chaos Control ◽  
Control Method ◽  
Experimental Results ◽  
Experimental Setup ◽  
Chua’S Circuit ◽  
Unstable Periodic Orbits ◽  
Chua's Circuit

We have built an experimental setup to apply Pyragas’s [1992, 1993] control method in order to stabilize unstable periodic orbits (UPO) in Chua’s circuit. We have been able to control low period UPO embedded in the double scroll attractor. However, experimental results show that the control method is useful under some restrictions we will discuss.

A NEW LOOK AT CHUA'S CIRCUIT

2011 ◽  
Vol 21 (06) ◽  
pp. 1653-1666 ◽  
Author(s):  
ICHRAF EL GAMMOUDI ◽  
MOEZ FEKI
Keyword(s):  
Numerical Simulations ◽  
Chaotic Behavior ◽  
Experimental Results ◽  
Chua’S Circuit ◽  
Systematic Method ◽  
Chua's Circuit ◽  
New Look

This paper proposes a novel way to look at Chua's circuit and to investigate its chaotic behavior. We propose a systematic method to increase the dimension of Chua's circuit and to choose the element values. Our claims are confirmed by numerical simulations on Chua's circuit and on modified Chua's circuit and also supported by experimental results.

EXPERIMENTAL CONTROL OF CHAOS IN CHUA’S CIRCUIT VIA TUNNELS

1994 ◽  
Vol 04 (03) ◽  
pp. 741-750 ◽  
Author(s):  
MAKOTO ITOH ◽  
HIROYUKI MURAKAMI ◽  
LEON O. CHUA
Keyword(s):  
Periodic Orbit ◽  
Experimental Method ◽  
Periodic Orbits ◽  
Chaotic Attractor ◽  
Chua’S Circuit ◽  
Control Of Chaos ◽  
Experimental Control ◽  
Chua's Circuit ◽  
Tunnel Mechanism ◽  
Very High

In this letter, we propose a new experimental method for converting a chaotic attractor in Chua’s circuit to a periodic orbit. A tunnel mechanism is used to achieve this conversion. Using this method, we were able to demonstrate experimentally that periodic orbits of very high periods (e.g., greater than 30) can be robustly stabilized.

NEW ATTRACTORS AND NEW BEHAVIORS IN THE PHOTO-CONTROLLED CHUA'S CIRCUIT

2009 ◽  
Vol 19 (01) ◽  
pp. 329-338 ◽  
Author(s):  
FADHIL RAHMA ◽  
LUIGI FORTUNA ◽  
MATTIA FRASCA
Keyword(s):  
Light Source ◽  
Period Doubling ◽  
Experimental Results ◽  
Chaotic Attractors ◽  
Chua’S Circuit ◽  
Light Control ◽  
Low Frequencies ◽  
Chua's Circuit ◽  
Intermittent Behavior ◽  
Period Doubling Bifurcations

In this brief communication, we introduce a Chua's circuit based on a photoresistor nonlinear device and experimentally investigate the effects of controlling it by a light source. Light control affects the dynamics of the circuit in several ways, and the circuit can be controlled to exhibit periodicity, period-doubling bifurcations and chaotic attractors. The dynamics of the circuit that operates at frequencies up to kilohertz is strongly influenced by using periodic driving signals at low frequencies. In particular, experimental results have shown that an unstable intermittent behavior can be observed and that this can be stabilized by using feedback. Synchronization of two circuits has also been investigated.

HYPERCHAOS IN A CHUA'S CIRCUIT WITH TWO NEW ADDED BRANCHES

2008 ◽  
Vol 18 (04) ◽  
pp. 1151-1159 ◽  
Author(s):  
RUY BARBOZA
Keyword(s):  
Theoretical Analysis ◽  
Fourth Order ◽  
Current Source ◽  
Experimental Results ◽  
The Other ◽  
Chua’S Circuit ◽  
Series Connection ◽  
Chua's Circuit ◽  
Original Topology ◽  
Wide Range

In this work a fourth-order Chua's circuit, capable of generating hyperchaotic oscillations in a wide range of parameters, is presented. The circuit is obtained by adding two new branches to the original topology of the Chua's double scroll circuit. One of the added branches is a linear inductor-resistor series connection, and the other one is a nonlinear voltage-controlled current source. A theoretical analysis of the circuit equations is presented, along with numerical and experimental results.

Synchronization through Compound Chaotic Signal in Chua's Circuit and Murali–Lakshmanan–Chua Circuit

1997 ◽  
Vol 07 (02) ◽  
pp. 415-421 ◽  
Author(s):  
K. Murali ◽  
M. Lakshmanan
Keyword(s):  
Feedback Loop ◽  
Chaotic Systems ◽  
Chaotic Signal ◽  
Drive System ◽  
Chua’S Circuit ◽  
Chua's Circuit ◽  
Response System ◽  
Chua Circuit ◽  
Response Systems ◽  
System Variables

In this letter the idea of synchronization of chaotic systems is further extended to the case where all the drive system variables are combined to obtain a compound chaotic drive signal. An appropriate feedback loop is constructed in the response system to achieve synchronization among the variables of drive and response systems. We apply this method of synchronization to the familiar Chua's circuit and Murali–Lakshmanan–Chua circuit equations.

scholarly journals Voltage Mode Pulse Width Modulator Using Single Operational Transresistance Amplifier

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Rajeshwari Pandey ◽  
Neeta Pandey ◽  
Sajal K. Paul
Keyword(s):  
Theoretical Analysis ◽  
Pulse Width ◽  
Relaxation Oscillator ◽  
Experimental Results ◽  
Voltage Mode ◽  
Pspice Simulation ◽  
Operational Transresistance Amplifier ◽  
Pulse Width Modulator ◽  
Simulation Results ◽  
Oscillator Output

This paper presents a voltage mode pulse width modulator (PWM) using single operational transresistance amplifier (OTRA). The proposed PWM consists of a relaxation oscillator output which is modulated using modulating signal. PSPICE simulation results and experimental results have been included to verify the theoretical analysis.

GENERATION OF n × m-SCROLL ATTRACTORS UNDER A CHUA-CIRCUIT FRAMEWORK

2007 ◽  
Vol 17 (11) ◽  
pp. 3951-3964 ◽  
Author(s):  
SIMIN YU ◽  
WALLACE K. S. TANG ◽  
G. CHEN
Keyword(s):  
Numerical Simulation ◽  
Theoretical Analysis ◽  
Chua’S Circuit ◽  
Electronic Circuits ◽  
Third Order ◽  
Chua's Circuit ◽  
Chua Circuit ◽  
Dynamical Behaviors ◽  
First Time

In this paper, the generation of n × m-scroll attractors under a Chua-circuit framework is presented. By using a sawtooth function, f1(x), and a staircase function, f2(y), n × m-scroll attractors can be generated and observed from a third-order circuit. Its dynamical behaviors are investigated by means of theoretical analysis as well as numerical simulation. Moreover, two electronic circuits are designed for its realization, and experimental observations of n × m-scroll attractors based on Chua's circuit are reported, for the first time in the literature.

CHAOS SYNCHRONIZATION IN SC-CNN-BASED CIRCUIT AND AN INTERESTING INVESTIGATION: CAN A SC-CNN-BASED CIRCUIT BEHAVE SYNCHRONOUSLY WITH THE ORIGINAL CHUA'S CIRCUIT?

2004 ◽  
Vol 14 (03) ◽  
pp. 1071-1083 ◽  
Author(s):  
RECAI KILIÇ
Keyword(s):  
Chaos Synchronization ◽  
Chua’S Circuit ◽  
Chua's Circuit ◽  
Pspice Simulation ◽  
Synchronization Phenomenon ◽  
Simulation Results

In this work, after giving a complete verification of the continuous synchronization between two identical SC-CNN-based circuits depending on the driving variable, we have investigated the continuous synchronization phenomenon between SC-CNN-based circuit and Chua's circuit. PSpice simulation results confirm that SC-CNN-based circuit can behave synchronously with Chua's circuit in the case when very accurate parameter equalities are provided.

FIELD PROGRAMMABLE ANALOG ARRAY TO IMPLEMENT A PROGRAMMABLE CHUA'S CIRCUIT

2005 ◽  
Vol 15 (05) ◽  
pp. 1829-1836 ◽  
Author(s):  
RICCARDO CAPONETTO ◽  
ANDREA DI MAURO ◽  
LUIGI FORTUNA ◽  
MATTIA FRASCA
Keyword(s):  
Analog Circuits ◽  
Nonlinear Circuits ◽  
Experimental Results ◽  
Chua’S Circuit ◽  
Experimental Characterization ◽  
Chua's Circuit ◽  
Programmable Analog ◽  
Field Programmable ◽  
Chaotic Circuits ◽  
Field Programmable Analog Array

This paper introduces a new application of the Field Programmable Analog Array. Ease of design and reprogrammability are the advantages offered by this class of analog circuits, making them an ideal environment for the implementation of chaotic circuits and their experimental characterization. Chua's circuit, a well-known paradigm of nonlinear circuits, has been used as an example of application. Experimental results show the suitability of the approach, highlighting the features of the new implementation: a fully on the fly programmable Chua's circuit has been obtained.

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