DESIGN OF THRESHOLD CONTROLLER BASED CHAOTIC CIRCUITS

2010 ◽  
Vol 20 (07) ◽  
pp. 2185-2191 ◽  
Author(s):  
I. RAJA MOHAMED ◽  
K. MURALI ◽  
SUDESHNA SINHA ◽  
ERIK LINDBERG
Keyword(s):  
Chaotic Attractor ◽  
Second Order ◽  
Experimental Results ◽  
Nonlinear Element ◽  
Chaotic Oscillator ◽  
Simple Implementation ◽  
Chaotic Circuits

We propose a very simple implementation of a second-order nonautonomous chaotic oscillator, using a threshold controller as the only source of nonlinearity. We demonstrate the efficacy and simplicity of our design through numerical and experimental results. Further, we show that this approach of using a threshold controller as a nonlinear element, can be extended to obtain autonomous and multiscroll chaotic attractor circuits as well.

BIFURCATION AND CHAOS IN THE SIMPLEST DISSIPATIVE NON-AUTONOMOUS CIRCUIT

1994 ◽  
Vol 04 (06) ◽  
pp. 1511-1524 ◽  
Author(s):  
K. MURALI ◽  
M. LAKSHMANAN ◽  
L.O. CHUA
Keyword(s):  
Computer Simulation ◽  
Chaotic Dynamics ◽  
Second Order ◽  
Point Of View ◽  
Nonlinear Element ◽  
Bifurcation And Chaos ◽  
Linear Circuit ◽  
Nonlinear Resistor ◽  
Theoretic Point ◽  
Chaotic Circuits

We present a detailed investigation of the bifurcation and chaos phenomenon associated with the simplest sinusoidally driven dissipative second-order circuit made up of three linear circuit elements and a Chua’s diode. Unlike other non-autonomous second-order chaotic circuits whose nonlinear element is a nonlinear capacitor/inductor, the Chua’s diode of this circuit is a nonlinear resistor, and is therefore simpler from a circuit theoretic point of view. The chaotic dynamics of this circuit is confirmed both by experiments and by computer simulation of the circuit model.

Preparation and Aplication of Cation Adsorbent by Canada Goldenrod (Solidago canadensis L.)

2011 ◽  
Vol 396-398 ◽  
pp. 75-87
Author(s):  
Zai Fu Yang ◽  
Xiao Jing Yang ◽  
Li Hong Sun ◽  
Lian Lian Xu
Keyword(s):  
Sulfuric Acid ◽  
Cation Exchange ◽  
Agricultural Land ◽  
Reaction Medium ◽  
Volume Ratio ◽  
Second Order ◽  
Experimental Results ◽  
Solidago Canadensis ◽  
Order Kinetic ◽  
Pseudo Second Order

ABSTRACT: Cation adsorbent was prepared from the Solidago Canadensis（which are abandoned agricultural land of alien invasive plants）by Sulfuric acid esterification modified , isoamyl alcohol as reaction medium. Design L934 orthogonal experiment, the Solidago canadensis cation exchange adsorbent, the optimal preparation conditions. Experimental results show that at 15°C, concentrated sulfuric acid and amyl alcohol volume ratio of 5:6 obtained under conditions of Solidago canadensis cation exchange adsorbent for Pb(II) exchange best. The experimental results of Pb(II) adsorption onto the Solidago Canadensis based cation adsorbent showed that the best conditions are: the initial pH 5, the concentration of Pb(II) 300mg/L，the dosage of cation adsorbent 1.2mg/L and adsorption time 3h. The adsorption data were analyzed by using pseudo-first-order and pseudo-second-order kinetic models were found to follow the pseudo-second-order kinetic model.

Comparison of Times of Synchronization of Chaotic Burke-Shaw Attractor with Active Control and Integer and Optimum Fractional-Order Pecaro Carroll Method

2021 ◽  
Author(s):  
Ali Durdu ◽  
Yılmaz Uyaroğlu
Keyword(s):  
Active Control ◽  
Fractional Order ◽  
Chaotic Attractor ◽  
Secure Communication ◽  
Chaotic Systems ◽  
Control Method ◽  
Initial Conditions ◽  
Data Communication ◽  
Experimental Results ◽  
Active Control Method

Abstract Many studies have been introduced in the literature showing that two identical chaotic systems can be synchronized with different initial conditions. Secure data communication applications have also been made using synchronization methods. In the study, synchronization times of two popular synchronization methods are compared, which is an important issue for communication. Among the synchronization methods, active control, integer, and fractional-order Pecaro Carroll (P-C) method was used to synchronize the Burke-Shaw chaotic attractor. The experimental results showed that the P-C method with optimum fractional-order is synchronized in 2.35 times shorter time than the active control method. This shows that the P-C method using fractional-order creates less delay in synchronization and is more convenient to use in secure communication applications.

A Percolation Equation for Modeling Experimental Results for Continuum Percolation Systems

2001 ◽  
Vol 699 ◽  
Author(s):  
D.S. McLachlan ◽  
C. Chiteme ◽  
W.D. Heiss ◽  
Junjie Wu
Keyword(s):  
Experimental Data ◽  
Ac Conductivity ◽  
Volume Fraction ◽  
Power Laws ◽  
Second Order ◽  
Experimental Results ◽  
Analytical Equation ◽  
Scaling Properties ◽  
First Order ◽  
Dc And Ac Conductivity

AbstractThe standard percolation equations or power laws, for dc and ac conductivity (dielectric constant) are based on scaling ansatz, and predict the behaviour of the first and second order terms, above and below the percolation or critical volume fraction (øc), and in the crossoverregion. Recent experimental results on ac conductivity are presented, which show that these equations, with the exception of real σm above øc and the first order terms in the crossover region, are only valid in the limit σi/σc = 0, where for an ideal dielectric σi=ωε0εr.A single analytical equation, which has the same parameters as the standard percolation equations, and which, for ac conductivity, reduces to the standard percolation power laws in the limit σi(ωε0εr)/σc = 0 for all but one case, is presented. The exception is the expression for real σm below øc, where the standard power law is always incorrect. The equation is then shown to quantitatively fit both first and second order dc and ac experimental data over the entire frequency and composition range. This phenomenological equation is also continuous, has the scaling properties required at a second order metal-insulator and fits scaled first order dc and ac experimental data. Unfortunately, the s and t exponents that are necessary to fit the data to the above analytical equation are usually not the simple dimensionally determined universal ones and depend on a number of factors.

scholarly journals OPTIMIZATION OF LEVOFLOXACIN REMOVAL FROM AQUEOUS SOLUTION USING ELECTROCOAGULATION PROCESS BY RESPONSE SURFACE METHODOLOGY

2021 ◽  
Vol 52 (1) ◽  
pp. 204-217
Author(s):  
Mohammed & Mohammed-Ridha
Keyword(s):  
Aqueous Solution ◽  
Response Surface Methodology ◽  
Response Surface ◽  
Correlation Coefficient ◽  
Iron Hydroxide ◽  
Second Order ◽  
Experimental Results ◽  
Order Kinetic ◽  
Experimental Conditions ◽  
Good Agreement

This study was aimed to investigate the response surface methodology (RSM) to evaluate the effects of various experimental conditions on the removal of levofloxacin (LVX) from the aqueous solution by means of electrocoagulation (EC) technique with stainless steel electrodes. The EC process was achieved successfully with the efficiency of LVX removal of 90%. The results obtained from the regression analysis, showed that the data of experiential are better fitted to the polynomial model of second-order with the predicted correlation coefficient (pred. R2) of 0.723, adjusted correlation coefficient (Adj. R2) of 0.907 and correlation coefficient values (R2) of 0.952. This shows that the predicted models and experimental values are in good agreement. The results of the kinetic study showed that the second-order kinetic model was in good agreement with the experimental results and suggested that the mechanism of chemisorption controlled the LVX adsorption. The experimental results indicated that the adsorption of LVX on iron hydroxide flocs follows Sips isotherm with the value of the correlation coefficient (R2) of 0.937. Sips isotherm shows that both homogenous and heterogeneous adsorption can occur.

AN INTEGRATED CHUA'S CELL FOR THE IMPLEMENTATION OF A CHUA'S ARRAY

2004 ◽  
Vol 14 (01) ◽  
pp. 93-105 ◽  
Author(s):  
PAOLO ARENA ◽  
SALVATORE CASTORINA ◽  
LUIGI FORTUNA ◽  
MATTIA FRASCA ◽  
ALESSANDRO RIZZO
Keyword(s):  
Complex Systems ◽  
Single Cell ◽  
Chaotic Attractor ◽  
Cmos Technology ◽  
Experimental Results ◽  
External Control ◽  
Chaotic Oscillations ◽  
Frequency Range ◽  
Array Design ◽  
Chip Area

In this paper a new integrated Chua's circuit is implemented through switched-capacitor techniques. Recent studies on complex systems made of vast arrays or matrices of Chua's cells motivate the need for experimental verifications which could be easily accomplished by an integrated version of the array. Design efforts have been devoted to the reduction of the chip area consumption. The cell layout, realized in CMOS technology, is presented and experimental results confirm the validity of our chip implementation. The implementation presented allows the user to generate a wide gallery of complex behaviors. The system is in fact programmable: both the chaotic attractor generated by the single cell and the frequency range of the chaotic oscillations can be easily set via external control pins.

Memristor Oscillators and its FPGA Implementation

2011 ◽  
Vol 383-390 ◽  
pp. 6992-6997 ◽  
Author(s):  
Ai Xue Qi ◽  
Cheng Liang Zhang ◽  
Guang Yi Wang
Keyword(s):  
Numerical Simulation ◽  
Chaotic System ◽  
Field Programmable Gate Array ◽  
Chaotic Attractor ◽  
Hardware Implementation ◽  
Fpga Implementation ◽  
Experimental Results ◽  
Linear Resistance ◽  
Non Linear ◽  
Field Programmable

This paper presents a method that utilizes a memristor to replace the non-linear resistance of typical Chua’s circuit for constructing a chaotic system. The improved circuit is numerically simulated in the MATLAB condition, and its hardware implementation is designed using field programmable gate array (FPGA). Comparing the experimental results with the numerical simulation, the two are the very same, and be able to generate chaotic attractor.

Coulomb interaction energy including overlap effects for the ground state of RbCs beyond 7 Å

1996 ◽  
Vol 74 (3-4) ◽  
pp. 155-158
Author(s):  
K. Hussein
Keyword(s):  
Interaction Energy ◽  
Coulomb Interaction ◽  
Configuration Space ◽  
Ground State ◽  
Present Method ◽  
Second Order ◽  
Experimental Results ◽  
Coulomb Energy ◽  
First Order ◽  
Dispersion Terms

We use a perturbative model based on a partition of the configuration space into four regions to calculate the Coulomb energy including charge-overlap effects (induction and dispersion terms) for the interaction between two atoms Rb(5s2S) and Cs(6s2S). Results for first-order electrostatic as well as second-order induction and dispersion energies will be presented in the range 13 < R < 25 a.u. The damping functions for the various dispersion terms varying as R−6, R−8, and R−10 in the range of large R have also been determined, and fitted analytical forms will be displayed for these terms. From comparison with accurate experimental results, the present method is seen to be valid for values of R beyond 7 Å (1 Å = 10−10 m).

Modeling of High-Signal Electrostriction. II

1990 ◽  
Vol 45 (9-10) ◽  
pp. 1095-1101
Author(s):  
J von Cieminski
Keyword(s):  
Phase Transition ◽  
Temperature Dependence ◽  
Strain Field ◽  
Ferroelectric Phase Transition ◽  
Ferroelectric Phase ◽  
Second Order ◽  
Experimental Results ◽  
High Signal ◽  
Qualitative And Quantitative

Abstract The predictions obtained with a thermodynamical method are compared with experimental results. Several materials which pass a ferroelectric phase transition of first or second order are investigated. The predictions correspond well with the experimentaly determined qualitative and quantitative features as to the field and temperature dependence. Finally, extraordinary strain-field curves are predicted and proved.

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