IMPLEMENTATION OF A LABORATORY TOOL FOR STUDYING MIXED-MODE CHAOTIC CIRCUIT

2007 ◽  
Vol 17 (10) ◽  
pp. 3633-3638 ◽  
Author(s):  
RECAI KILIÇ ◽  
BARIŞ KARAUZ
Keyword(s):  
Mixed Mode ◽  
Laboratory Work ◽  
Chaotic Circuit ◽  
Theoretical Simulation ◽  
Chaotic Circuits ◽  
Laboratory Tool

Although many authors have prepared useful papers to illustrate the existence of chaos and to enhance the reader's understanding of chaos by using theoretical, simulation or experimental setups, any chaos-based laboratory work-board has not been designed or implemented for studying chaotic circuits and systems. We designed and implemented a laboratory tool for studying mixed-mode chaotic circuits. In this paper, we will introduce this versatile laboratory tool.

IMPROVED REALIZATION OF MIXED-MODE CHAOTIC CIRCUIT

2002 ◽  
Vol 12 (06) ◽  
pp. 1429-1435 ◽  
Author(s):  
RECAI KILIÇ ◽  
MUSTAFA ALÇI ◽  
UǦUR ÇAM ◽  
HAKAN KUNTMAN
Keyword(s):  
Mixed Mode ◽  
Chaotic Dynamics ◽  
Alternative Solution ◽  
Chaotic Circuit ◽  
Major Improvement ◽  
Nonlinear Resistor ◽  
Integration Problem ◽  
Chaotic Circuits ◽  
Cmos Vlsi

An improved realization of mixed-mode chaotic circuit which has both autonomous and nonautonomous chaotic dynamics is proposed. Central to this study is inductorless realization of mixed-mode chaotic circuit using FTFN-based inductance simulator. FTFN-based topology used in this realization enables the simulation of ideal floating and grounded inductance. This modification provides an alternative solution to the integration problem of not only mixed-mode chaotic circuit but also other chaotic circuits in the literature using CMOS VLSI technologies. In addition to this major improvement, CFOA-based nonlinear resistor was used in the new realization of mixed-mode chaotic circuit. The usage of CFOA-based nonlinear resistor in the circuit's structure reduces the component count and provides buffered and isolated output.

IMPULSIVE SYNCHRONIZATION BETWEEN TWO MIXED-MODE CHAOTIC CIRCUITS

2005 ◽  
Vol 14 (02) ◽  
pp. 333-346 ◽  
Author(s):  
RECAİ KILIÇ
Keyword(s):  
Mixed Mode ◽  
Chaotic Dynamics ◽  
Lorenz System ◽  
Minimum Length ◽  
Chua’S Circuit ◽  
Chaotic Circuit ◽  
Chua's Circuit ◽  
Impulsive Synchronization ◽  
Synchronization Method ◽  
Chaotic Circuits

So far, impulsive synchronization method has been applied to several well-known chaotic circuits and systems such as Chua's circuit, Lorenz system and hyperchaotic circuit. Here, we present a study of impulsive synchronization of another chaotic circuit, namely mixed-mode chaotic circuit which oscillates both autonomous and nonautonomous chaotic dynamics. By choosing two mixed-mode chaotic circuits as driving and driven chaotic circuits, we investigated whether these circuits are synchronized impulsively or not by evaluating the minimum length of impulse width (Q), and the ratio of impulse width to impulse period (Q/T). The results of our investigation confirm that two mixed-mode chaotic circuits can be synchronized impulsively with very narrow impulse width.

scholarly journals A Nonvolatile Fractional Order Memristor Model and its Complex Dynamics

Entropy ◽  
2019 ◽  
Vol 21 (10) ◽  
pp. 955 ◽  
Author(s):  
Wu ◽  
Wang ◽  
Iu ◽  
Shen ◽  
Zhou
Keyword(s):  
Fractional Order ◽  
Complex Dynamics ◽  
Equilibrium Points ◽  
Stable State ◽  
Electrical Characteristics ◽  
Chaotic Circuit ◽  
Stable States ◽  
Road Map ◽  
Chaotic Circuits ◽  
Integral Order

It is found that the fractional order memristor model can better simulate the characteristics of memristors and that chaotic circuits based on fractional order memristors also exhibit abundant dynamic behavior. This paper proposes an active fractional order memristor model and analyzes the electrical characteristics of the memristor via Power-Off Plot and Dynamic Road Map. We find that the fractional order memristor has continually stable states and is therefore nonvolatile. We also show that the memristor can be switched from one stable state to another under the excitation of appropriate voltage pulse. The volt–ampere hysteretic curves, frequency characteristics, and active characteristics of integral order and fractional order memristors are compared and analyzed. Based on the fractional order memristor and fractional order capacitor and inductor, we construct a chaotic circuit, of which the dynamic characteristics with respect to memristor’s parameters, fractional order α, and initial values are analyzed. The chaotic circuit has an infinite number of equilibrium points with multi-stability and exhibits coexisting bifurcations and coexisting attractors. Finally, the fractional order memristor-based chaotic circuit is verified by circuit simulations and DSP experiments.

Clustering Using Chaotic Circuit Networks with Weighted Couplings

2019 ◽  
Vol 29 (04) ◽  
pp. 1950053 ◽  
Author(s):  
Yoko Uwate ◽  
Yuji Takamaru ◽  
Thomas Ott ◽  
Yoshifumi Nishio
Keyword(s):  
Coupling Strength ◽  
Two Dimensional ◽  
Chaotic Circuit ◽  
Distance Information ◽  
Scaling Parameters ◽  
Chaotic Circuits ◽  
Circuit Networks

In this paper, we focus on clustering phenomena in a network composed of coupled chaotic circuits. In this investigation, the coupling strength is reflected by the distance information when the chaotic circuits are placed in a two-dimensional grid. We observe various clustering phenomena in the network of coupled chaotic circuits when we vary the scaling parameters, including the coupling strength, the distance between coupled chaotic circuits and the density of the chaotic circuits.

The effect of fractionality nature in differences between computer simulation and experimental results of a chaotic circuit

Open Physics ◽  
2013 ◽  
Vol 11 (6) ◽  
Author(s):  
Salman Faraji ◽  
Mohammad Tavazoei
Keyword(s):  
Computer Simulation ◽  
Experimental Results ◽  
Chaotic Circuit ◽  
Chaotic Circuits ◽  
Simulation Results

AbstractIn practice, some differences are usually observed between computer simulation and experimental results of a chaotic circuit. In this paper, it is tried to obtain computer simulation results having more correlation with those obtained in practice by using more realistic models for chaotic circuits. This goal is achieved by considering the fractionality nature of electrical capacitors in the model of a chaotic circuit.

IMPLEMENTING MEMRISTOR BASED CHAOTIC CIRCUITS

2010 ◽  
Vol 20 (05) ◽  
pp. 1335-1350 ◽  
Author(s):  
BHARATHWAJ MUTHUSWAMY
Keyword(s):  
Practical Implementation ◽  
Chaotic Circuit ◽  
Central Concept ◽  
Chaotic Circuits ◽  
Circuit Elements ◽  
Electric Flux

This paper provides a practical implementation of a memristor based chaotic circuit. We realize a memristor using off-the-shelf components and then construct the memristor along with the associated chaotic circuit on a breadboard. The goal is to construct a physical chaotic circuit that employs the four fundamental circuit elements — the resistor, capacitor, inductor and the memristor. The central concept behind the memristor circuit is to use an analog integrator to obtain the electric flux across the memristor and then use the flux to obtain the memristor's characterstic function.

A HARMONY OF LINEAR AND NONLINEAR OSCILLATIONS: WIEN BRIDGE-BASED MIXED-MODE CHAOTIC CIRCUIT

2004 ◽  
Vol 13 (01) ◽  
pp. 137-149 ◽  
Author(s):  
RECAİ KILIÇ
Keyword(s):  
Mixed Mode ◽  
Nonlinear Oscillations ◽  
Chaotic Circuit ◽  
Chua Circuit ◽  
Circuit Structure ◽  
Lc Resonator ◽  
The Common ◽  
Tuning Circuit ◽  
Linear And Nonlinear ◽  
Switching Method

Mixed-mode chaotic circuit (MMCC) designed by combining the common dynamics of autonomous Chua's circuit and nonautonomous MLC (Murali–Lakshmanan–Chua) circuit is not only extremely simple system but also exhibits both autonomous and nonautonomous chaotic dynamics via a switching method. In this study, focusing on the alternative design of MMCC circuit, we have proposed Wien bridge-based MMCC circuit replacing the LC resonator of MMCC circuit with a Wien bridge-based RC configuration. Wien bridge-based MMCC circuit presents a harmony of both linear and nonlinear oscillations and it provides the possibility of studying linear oscillations, autonomous and nonautonomous chaotic oscillations in the same circuit structure. By using the Wien bridge RC configuration, MMCC circuit has more tuning circuit parameters and inductor element count is reduced. The circuit behavior of Wien bridge-based MMCC is confirmed by PSpice simulations.

A General Chaotic Circuit Design and Hardware Implementation via the Inductance Integrators

2019 ◽  
Vol 29 (10) ◽  
pp. 2050159
Author(s):  
Wei Xu ◽  
Ning Cao
Keyword(s):  
Circuit Design ◽  
Integrated Circuit ◽  
Output Signal ◽  
Hardware Implementation ◽  
Chaotic Circuit ◽  
Integral Circuit ◽  
Chaotic Circuits ◽  
Additive Term ◽  
Dc Resistance

This paper presents a scheme for the modified chaotic circuits based on inductance integration. In view of the fact that the DC resistance of an inductor in the circuit cannot be ignored, this way of constructing the circuits is provided that can eliminate its influence on the integral circuits. By means of cascading an inverting adder circuit and inductance integral circuit, the output signal of the integral circuit is fed back to the inverting adder circuit, and its additive term is artificially added to match the actual inductance integrated circuit to achieve integral circuit based on the actual inductor which can offset the effect of its DC resistance. In order to verify the generality of the design, the process of designing Lorenz chaotic circuit is given and its attractors can also be observed from the oscilloscope.

MIXED-MODE CHAOTIC CIRCUIT AND ITS APPLICATION TO CHAOTIC COMMUNICATION FOR TRANSMISSION OF ANALOG SIGNALS

2001 ◽  
Vol 11 (02) ◽  
pp. 571-581 ◽  
Author(s):  
RECAI KILIÇ ◽  
MUSTAFA ALÇI
Keyword(s):  
Communication System ◽  
Mixed Mode ◽  
Chaotic Behavior ◽  
Chaotic Circuit ◽  
Simulation Experiments ◽  
Chaotic Communication ◽  
Pspice Simulation ◽  
Analog Signals ◽  
Dynamic Analyses

We present a mixed-mode chaotic circuit which has both autonomous and nonautonomous chaotic circuit dynamics and we show how this mixed-mode chaotic circuit can be utilized in a chaotic communication system for transmitting analog signals. The investigation of static and dynamic analyses of the proposed circuit has been carried out and its chaotic behavior was verified by PSpice simulation experiments. For the transmission of analog signals via mixed-mode chaotic circuit, a well-known chaotic communication system introduced by Itoh et al. was chosen.

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