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.

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.

scholarly journals EXPERIMENTAL EVIDENCE FOR VIBRATIONAL RESONANCE AND ENHANCED SIGNAL TRANSMISSION IN CHUA'S CIRCUIT

2013 ◽  
Vol 23 (11) ◽  
pp. 1350189 ◽  
Author(s):  
R. JOTHIMURUGAN ◽  
K. THAMILMARAN ◽  
S. RAJASEKAR ◽  
M. A. F. SANJUÁN
Keyword(s):  
Experimental Evidence ◽  
Low Frequency ◽  
Signal Propagation ◽  
Chua’S Circuit ◽  
Vibrational Resonance ◽  
Frequency Signal ◽  
Pass Filter ◽  
Low Pass Filter ◽  
Chua's Circuit ◽  
Wide Range

We consider a single Chua's circuit and a system of a unidirectionally coupled n-Chua's circuits driven by a biharmonic signal with two widely different frequencies ω and Ω, where Ω ≫ ω. We show experimental evidence for vibrational resonance in the single Chua's circuit and undamped signal propagation of a low-frequency signal in the system of n-coupled Chua's circuits where only the first circuit is driven by the biharmonic signal. In the single circuit, we illustrate the mechanism of vibrational resonance and the influence of the biharmonic signal parameters on the resonance. In the n(=75)-coupled Chua's circuits enhanced propagation of low-frequency signal is found to occur for a wide range of values of the amplitude of the high-frequency input signal and coupling parameter. The response amplitude of the ith circuit increases with i and attains a saturation. Moreover, the unidirectional coupling is found to act as a low-pass filter.

scholarly journals Post-War Czechoslovakia: A Theoretical Critique

2015 ◽  
Vol 2 (2) ◽  
pp. 93-112
Author(s):  
Tomáš Nikodym ◽  
Lukáš Nikodym ◽  
Tereza Pušová
Keyword(s):  
Theoretical Analysis ◽  
Political Development ◽  
Economic Planning ◽  
The Other ◽  
Democratic Regime ◽  
Wide Range ◽  
Socialist Economic ◽  
History Of ◽  
Post War ◽  
Economic Studies

Abstract The paper focuses on the proposals of post-war order in Czechoslovakia and its theoretical analysis. While there exists a wide range of studies, both Czech and foreign, dedicated to the history of Czechoslovakia in the post-war period, a majority of the studies deals with political development. Then the interpretations of the failure of President Beneš’ “distinct model of socialism” are purely political – weakness of President Beneš and democratic elites, the aggressive politics of Communist party, influence of Soviet diplomacy, etc. On the other hand, economic studies are only descriptive without theoretical analysis of proposed post-war order. Our paper offers different interpretation of the fall of Czechoslovak democratic regime (1945–1948). Using the framework of Austrian school, we are trying to show the institutional incompatibility of proposed post-war order. Special emphasis is put on the relation of freedom, democracy and socialist economic planning.

The Separation of Light Gaseous Isotopes by Mass Diffusion Columns II

1964 ◽  
Vol 19 (6) ◽  
pp. 747-755
Author(s):  
W. J. De Wet ◽  
J. Los
Keyword(s):  
Theoretical Analysis ◽  
Mass Diffusion ◽  
Experimental Results ◽  
The Other ◽  
Countercurrent Flow ◽  
Gas Solubility ◽  
Flow Rates ◽  
Mixing Effects ◽  
Other Hand ◽  
Good Agreement

The design of mass diffusion columns operated with partition membranes, for the separation of light gaseous isotopes, is discussed. A theoretical analysis of experimental results obtained indicates that a good agreement between experimental results and theory is only obtained at low column pressures and moderate countercurrent flow rates. At fairly low countercurrent flow rates mixing effects due to viscous dragging and gas solubility by the condensate appear to be considerable whereas excessively high countercurrent flow rates, on the other hand, also seem undesirable. Some suggestions are proposed to obviate impairing effects at least to some extent.

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.

A New Fourth-Order Memristive Chaotic System and Its Generation

2015 ◽  
Vol 25 (11) ◽  
pp. 1550151 ◽  
Author(s):  
Yuxia Li ◽  
Xia Huang ◽  
Yiwen Song ◽  
Jinuan Lin
Keyword(s):  
Phase Diagram ◽  
Lyapunov Exponent ◽  
Chaotic System ◽  
Fourth Order ◽  
Bifurcation Analysis ◽  
Chua’S Circuit ◽  
Chua's Circuit ◽  
Diagram Analysis

In this paper, a new fourth-order memristive chaotic system is constructed on the basis of Chua's circuit. Chaotic behaviors are verified through a series of dynamical analyses, including Lyapunov exponent analysis, bifurcation analysis, and phase diagram analysis. In addition, chaos attractors in the newly-proposed system are implemented by hardware circuits.

HIGHER-ORDER SPECTRAL ANALYSIS TO DETECT NONLINEAR INTERACTIONS IN MEASURED TIME SERIES AND AN APPLICATION TO CHUA’S CIRCUIT

1993 ◽  
Vol 03 (01) ◽  
pp. 19-34 ◽  
Author(s):  
STEVE ELGAR ◽  
VINOD CHANDRAN
Keyword(s):  
Time Series ◽  
Spectral Analysis ◽  
Higher Order ◽  
Nonlinear Interactions ◽  
Chua’S Circuit ◽  
Phase Coupling ◽  
Chua's Circuit ◽  
Nonlinear Phase ◽  
Wide Range ◽  
Measured Time

Higher-order spectra have been used to investigate nonlinear interactions between the Fourier components of measured time series in a remarkably wide range of random processes. The basic techniques of detecting and isolating nonlinear phase coupling in observed data using higher-order spectral analysis are reviewed here. These techniques are then used to investigate nonlinear interactions in time series of voltages measured from a realization of Chua’s circuit. For period-doubled limit cycles, quadratic and cubic nonlinear interactions result in phase coupling and energy exchange between increasing numbers of triads and quartets of Fourier components as the nonlinearity of the system is increased. For circuit parameters that result in a chaotic, Rössler-type attractor, bicoherence and tricoherence spectra indicate that both quadratic and cubic nonlinear interactions are important to the dynamics. For parameters that lead to the double-scroll chaotic attractor the bispectrum is zero, but the tricoherences are high, consistent with the importance of higher-than-second order nonlinear interactions during chaos associated with the double scroll.

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.

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