Analysis of chaotic behavior in lumped-distributed circuits applied to the time-delayed Chua's circuit

1994 ◽  
Vol 41 (12) ◽  
pp. 915-918 ◽  
Author(s):  
E.A. Hosny ◽  
M.I. Sobhy
Keyword(s):  
Chaotic Behavior ◽  
Chua’S Circuit ◽  
Chua's Circuit ◽  
Distributed Circuits

EXPERIMENTAL STUDY OF CFOA-BASED INDUCTORLESS CHUA'S CIRCUIT

2004 ◽  
Vol 14 (04) ◽  
pp. 1369-1374 ◽  
Author(s):  
RECAI KILIÇ
Keyword(s):  
Experimental Study ◽  
High Frequency ◽  
Chaotic Behavior ◽  
Comparative Investigation ◽  
Experimental Setup ◽  
Chua’S Circuit ◽  
Current Feedback ◽  
Chua's Circuit ◽  
Op Amps ◽  
High Frequency Performance

The current feedback op amps (CFOAs), with some significant advantages over the conventional op amps, have been used instead of voltage op amps (VOAs) in new implementations of Chua's circuit. In our previous study, after providing a comparative investigation of CFOA-based realizations of Chua's circuit in the literature, we have also presented an alternative inductorless CFOA-based realization of Chua's circuit, and the circuit's chaotic behavior by Pspice simulations. In this paper, we investigate CFOA-based Chua's circuit by constructing an experimental setup, and testing the performance of the proposed implementation at different frequencies. Its excellent high frequency performance was experimentally verified.

CHAOTIC BEHAVIOR OF ORBITS CLOSE TO A HETEROCLINIC CONTOUR

1996 ◽  
Vol 06 (01) ◽  
pp. 69-79 ◽  
Author(s):  
M. BLÁZQUEZ ◽  
E. TUMA
Keyword(s):  
Chaotic Behavior ◽  
Equilibrium Points ◽  
Three Dimensional ◽  
Dimensional Case ◽  
Chua’S Circuit ◽  
Closed Contour ◽  
Chua's Circuit ◽  
Infinite Dimensional ◽  
Focus Type

We study the behavior of the solutions in a neighborhood of a closed contour formed by two heteroclinic connections to two equilibrium points of saddle-focus type. We consider both the three-dimensional case, as in the well-known Chua's circuit, as well as the infinite-dimensional case.

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.

Realization of Chaotic Circuits Using Lambda Diode

2017 ◽  
Vol 26 (12) ◽  
pp. 1750189 ◽  
Author(s):  
Bibha Kumari ◽  
Nisha Gupta
Keyword(s):  
Chaotic Behavior ◽  
Negative Resistance ◽  
Chaotic Oscillator ◽  
Chua’S Circuit ◽  
Linear Element ◽  
Chaotic Circuit ◽  
Poincaré Plot ◽  
Chua's Circuit ◽  
Nonlinear Resistor ◽  
Wide Range

This paper presents the design of novel autonomous and non-autonomous inductorless chaotic circuit using lambda diode. The autonomous chaotic circuit is implemented using Chua’s circuit, where the piece-wise linear element of Chua’s circuit called Chua’s diode is replaced by lambda diode. The lambda diode used as a nonlinear resistor in Chua’s circuit comprises of BJT, FET and resistors. The non-autonomous chaotic circuit is studied by replacing the piece-wise linear element of Murali–Lakshmana–Chua (MLC) circuit by lambda diode. The reason for employing lambda diode is that it has a wide range of negative resistance characteristics, which enable the circuit to operate at higher frequency ranges. The resulting chaotic oscillator can easily be made to operate at both low and high frequencies. The chaotic behavior of the circuit is established through Multisim simulations in the time and frequency domains. Both theoretical analysis and electronic circuit experiments are presented. The circuit’s chaotic characteristics are further confirmed by means of Poincare plot and the Bifurcation diagram. The observed route to chaos is period-adding.

EXPERIMENTAL CHAOS SYNCHRONIZATION IN CHUA'S CIRCUIT

1992 ◽  
Vol 02 (03) ◽  
pp. 705-708 ◽  
Author(s):  
LEON O. CHUA ◽  
LJUPCO KOCAREV ◽  
KEVIN ECKERT ◽  
MAKOTO ITOH
Keyword(s):  
Chaos Synchronization ◽  
Chaotic Systems ◽  
Electronic Circuit ◽  
Chaotic Behavior ◽  
Chua’S Circuit ◽  
Chua's Circuit

Several recent papers have investigated the feasibility of synchronization of chaotic systems. Experimentally one of the easiest systems to control and synchronize is the electronic circuit. This paper examines synchronization in Chua's Circuit, proven to be the simplest electronic circuit to exhibit chaotic behavior.

FRACTIONAL-ORDER CHUA'S CIRCUIT: TIME-DOMAIN ANALYSIS, BIFURCATION, CHAOTIC BEHAVIOR AND TEST FOR CHAOS

2008 ◽  
Vol 18 (03) ◽  
pp. 615-639 ◽  
Author(s):  
DONATO CAFAGNA ◽  
GIUSEPPE GRASSI
Keyword(s):  
Fractional Order ◽  
Time Domain ◽  
Decomposition Method ◽  
Chaotic Behavior ◽  
Adomian Decomposition Method ◽  
Time Domain Analysis ◽  
Point Of View ◽  
Chua’S Circuit ◽  
Chua's Circuit ◽  
Adomian Decomposition

In this tutorial the chaotic behavior of the fractional-order Chua's circuit is investigated from the time-domain point of view. The objective is achieved using the Adomian decomposition method, which enables the solution of the fractional differential equations to be found in closed form. By exploiting the capabilities offered by the decomposition method, the paper presents two remarkable findings. The first result is that a novel bifurcation parameter is identified, that is, the fractional-order q of the derivative. The second result is that chaos exists in the fractional Chua's circuit with order q = 1.05, which is the lowest order reported in literature for such circuits. Finally, a reliable and efficient binary test for chaos (called "0–1 test") is utilized to detect the presence of chaotic attractors in the system dynamics.

CONTROLLING CHAOS IN CHUA’S CIRCUIT VIA SAMPLED INPUTS

1994 ◽  
Vol 04 (02) ◽  
pp. 447-455 ◽  
Author(s):  
HERVÉ DEDIEU ◽  
MACIEJ OGORZAŁEK
Keyword(s):  
Periodic Orbit ◽  
Chaotic System ◽  
Continuous Time ◽  
Chaotic Behavior ◽  
Effective Control ◽  
Time Signal ◽  
Chua’S Circuit ◽  
State Equations ◽  
Controlling Chaos ◽  
Chua's Circuit

We consider a class of autonomous, continuous time, chaotic dynamical systems the state equations of which can be represented in so-called Lur’e form. In particular we consider Chua’s circuit which is a paradigmatic chaotic system belonging to this class. It is shown that the dynamic behavior of such a system can be influenced in such a way as to obtain out of chaotic behavior a desired periodic orbit corresponding to an unstable periodic trajectory which exists in the system. This kind of control can be achieved via injection of a single continuous time signal representing the output of the system associated with an unstable periodic orbit embedded in the chaotic attractor. Further, we investigate the case when this signal is sampled, i.e. we supply to the system the control signal at discrete time moments only. We show via extensive numerical simulations that effective control can be achieved with a low number of samples only. Control proves to be very robust. Despite the presence of scaling of system variables and noise of a significant level introduced by signal quantization and offset, we were still able to control the chosen orbit (although with growing noise level the orbit becomes more and more distorted but maintains the same periodicity). We present a variety of simulation results to support this claim. First laboratory confirmations are also included. We claim that this method, proved to be functional for controlling chaos in Chua’s circuit, is also applicable to any chaotic system of the Lur’e type with a single nonlinearity.

CHUA'S CIRCUIT WITH A DISCONTINUOUS NONLINEARITY

1993 ◽  
Vol 03 (01) ◽  
pp. 231-237 ◽  
Author(s):  
ADELHEID I. MAHLA ◽  
ÁLVARO G. BADAN PALHARES
Keyword(s):  
Poincaré Map ◽  
Chaotic Behavior ◽  
Piecewise Linear ◽  
Chua’S Circuit ◽  
Discontinuous Nonlinearity ◽  
Linear Element ◽  
Chua's Circuit ◽  
Stability Behavior ◽  
The Stability ◽  
Discrete Map

A discrete map can be obtained from Chua's circuit1 with a discontinuous nonlinearity. Chaotic behavior is observed in the simulation of Chua's circuit with a discontinuous piecewise-linear element. The Poincaré map can be used to study the stability behavior and opens the possibility for analyzing the chaotic behavior by determining the existence of a snap-back repeller.

CHAOS SYNCHRONIZATION IN CHUA'S CIRCUIT

1993 ◽  
Vol 03 (01) ◽  
pp. 93-108 ◽  
Author(s):  
LEON O. CHUA ◽  
MAKOTO ITOH ◽  
LJUPCO KOCAREV ◽  
KEVIN ECKERT
Keyword(s):  
Chaos Synchronization ◽  
Chaotic Systems ◽  
Electronic Circuit ◽  
Chaotic Behavior ◽  
Chua’S Circuit ◽  
Chua's Circuit

A number of recent papers have investigated the feasibility of synchronizing chaotic systems. Experimentally one of the easiest systems to control and synchronize is the electronic circuit. This paper examines synchronization in Chua's Circuit, proven to be the simplest electronic circuit to exhibit chaotic behavior.

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