SYNCHRONIZATION AND CLUSTER FORMATION PHENOMENA IN CNN-LIKE STRUCTURES OF COUPLED NONLINEAR CIRCUITS

2003 ◽  
Vol 12 (04) ◽  
pp. 389-397 ◽  
Author(s):  
Z. GALIAS ◽  
M. J. OGORZAŁEK
Keyword(s):  
Cluster Formation ◽  
Computer Experiments ◽  
Nonlinear Circuits ◽  
Spatial Clusters ◽  
Nonlinear Networks ◽  
Chaotic Circuits

The aim of this paper is to investigate synchronization phenomena in arrays composed of locally interconnected chaotic circuits. Such arrays are often considered as generalized Cellular Nonlinear Networks. In our computer experiments we study in particular the phenomena of formation of synchronized spatial clusters.

MEMRISTIVE CHAOTIC CIRCUITS BASED ON CELLULAR NONLINEAR NETWORKS

2012 ◽  
Vol 22 (03) ◽  
pp. 1250070 ◽  
Author(s):  
ARTURO BUSCARINO ◽  
LUIGI FORTUNA ◽  
MATTIA FRASCA ◽  
LUCIA VALENTINA GAMBUZZA ◽  
GREGORIO SCIUTO
Keyword(s):  
High Speed ◽  
Electronic Circuit ◽  
Nonlinear Circuits ◽  
Chaotic Attractors ◽  
Associative Memories ◽  
Biological Models ◽  
Memristive Device ◽  
Nonlinear Networks ◽  
Chaotic Circuits ◽  
Chaotic Electronic Circuit

Memristors are gaining increasing interest in the scientific community for their possible applications, e.g. high-speed low-power processors or new biological models for associative memories. Due to the intrinsic nonlinear characteristic of memristive devices, it is possible to use them in the design of new dynamical circuits that are able to show complex behavior, like chaos. In this paper, two new memristive chaotic circuits are presented discussing, in particular, an approach based on Cellular Nonlinear Networks for the implementation of the memristive device. The approach investigated in this paper allows to obtain memristors with common off-the-shelf components and to observe the onset of new chaotic attractors in nonlinear circuits with memristors. Furthermore, the circuits presented in this paper, being the first examples of memristive chaotic circuits based on CNNs, can be considered as the link between the three inventions by Leon O. Chua, i.e. the memristor, the first chaotic electronic circuit and Cellular Nonlinear Networks.

Phase synchronization of memristive systems by using saturation gain method

2020 ◽  
Vol 34 (09) ◽  
pp. 2050074
Author(s):  
Siyu Ma ◽  
Ping Zhou ◽  
Jun Ma ◽  
Chunni Wang
Keyword(s):  
Phase Synchronization ◽  
Induction Coil ◽  
Nonlinear Circuits ◽  
Chua Circuit ◽  
Artificial Synapse ◽  
Voltage Balance ◽  
Coupling Channel ◽  
Memristive Circuits ◽  
Memristive Systems ◽  
Chaotic Circuits

A variety of electric components can be used to bridge connection to the nonlinear circuits, and continuous pumping and consumption of energy are critical for voltage balance between the output end. The realization and stability of synchronization are mainly dependent on the physical properties of coupling channel, which can be built by using different electric components such as resistor, capacitor, induction coil and even memristor. In this paper, a memristive nonlinear circuit developed from Chua circuit is presented for investigation of synchronization, and capacitor, induction coil are jointed with resistor for building artificial synapse which connects one output of two identical memristive circuits. The capacitance and inductance of the coupling channel are carefully adjusted with slight step increase to estimate the threshold of coupling intensity supporting complete synchronization. As a result, the saturation gain method applied to realize the synchronization between chaotic circuits and physical mechanism is presented.

Radio Frequency Chaotic Circuit Design

2015 ◽  
pp. 364-398
Author(s):  
Christos Volos ◽  
Ioannis Kyprianidis ◽  
Ioannis Stouboulos ◽  
Viet-Thanh Pham
Keyword(s):  
Radio Frequency ◽  
Fundamental Frequency ◽  
Nonlinear Circuits ◽  
Chaotic Oscillations ◽  
Lyapunov Dimension ◽  
Chaotic Circuit ◽  
Colpitts Oscillator ◽  
Microwave Region ◽  
History Of ◽  
Chaotic Circuits

In recent decades the design of nonlinear circuits, which are capable of generating chaotic oscillations from audio frequencies up to the optical band, is a great challenge due to their use as sources of chaotic carriers in a variety of applications. Therefore, this chapter is dedicated to this class of circuits. A brief history of the first nonlinear circuits, which were the most important stages in the evolution of chaotic circuits, is given at the beginning of the chapter. Next, one of the most well known nonlinear circuits, the circuit of Colpitts oscillator, and its modifications, operating from a few Hertz up to the microwave region, are described in detail. A novel modification of Colpitts oscillator, which has higher fundamental frequency than the others do and greater Lyapunov dimension is also studied. Finally, some interesting applications of this class of circuits are presented at the end of this chapter.

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.

scholarly journals On the Dimensional Consistency Aware Fractional Domain Generalization of Simplest Chaotic Circuits

2020 ◽  
Vol 2020 ◽  
pp. 1-20
Author(s):  
Rawid Banchuin
Keyword(s):  
Fractional Calculus ◽  
Lyapunov Exponents ◽  
Nonlinear Circuits ◽  
The Novel ◽  
Chua’S Circuit ◽  
Chaotic Circuit ◽  
Chua's Circuit ◽  
Liouville Fractional Derivative ◽  
Chaotic Circuits ◽  
First Time

In this research, we generalize the simplest Chua’s chaotic circuit which is even more simpler than the four-element Chua’s circuit in terms of number of elements and the novel simplest chaotic circuit in the fractional domain by using the fractional circuit elements. Unlike the previous works, the time dimensional consistency aware generalization has been performed for the first time in this work. The dynamics of the generalized fractional nonlinear circuits have been analyzed by means of the fractional calculus based on the modified Riemann–Liouville fractional derivative where the Lyapunov exponents and dimensions have also been numerically calculated. We have found that including the dimensional consistency significantly alters the dynamic of the obtained fractional domain Chua’s circuit from that of the previous dimensional consistency ignored counterpart as different Lyapunov exponents and dimensions can be obtained. The conditions for both fractional domain circuits which cease to be chaotic have also been determined where such condition of Chua's circuit presented in this study is different from that of the previous work. This is because the time dimensionalconsistency has been included. The dynamical analyses of these circuits have also been performed where their conditions for being nonchaotic have been verified. Moreover, their emulators have also been realized.

A GALLERY OF CHAOTIC OSCILLATORS BASED ON HP MEMRISTOR

2013 ◽  
Vol 23 (05) ◽  
pp. 1330015 ◽  
Author(s):  
ARTURO BUSCARINO ◽  
LUIGI FORTUNA ◽  
MATTIA FRASCA ◽  
LUCIA VALENTINA GAMBUZZA
Keyword(s):  
Physical Model ◽  
Nonlinear Circuits ◽  
Nonlinear Element ◽  
Chaotic Oscillators ◽  
Chaotic Circuits

This work deals with the design of chaotic circuits based on memristors modeled as in [Strukov et al., 2008]. This physical model has the capability of capturing the behavior of the TiO2 memristor fabricated in the HP laboratories and, thus, is representative of real devices. We propose a configuration based on two such memristors in antiparallel as the nonlinear element for chaotic oscillators and discuss a series of nonlinear circuits derived from Chua's oscillators by replacing Chua's diodes with such element.

SIMPLE MEMRISTIVE TIME-DELAY CHAOTIC SYSTEMS

2013 ◽  
Vol 23 (04) ◽  
pp. 1350073 ◽  
Author(s):  
VIET-THANH PHAM ◽  
ARTURO BUSCARINO ◽  
LUIGI FORTUNA ◽  
MATTIA FRASCA
Keyword(s):  
Time Delay ◽  
Nonvolatile Memory ◽  
Chaotic Systems ◽  
Chaotic Behavior ◽  
Nonlinear Circuits ◽  
Memory Devices ◽  
Nonvolatile Memory Devices ◽  
Memristive Systems ◽  
Chaotic Circuits ◽  
Application Fields

Memristive systems have appeared in various application fields from nonvolatile memory devices and biological structures to chaotic circuits. In this paper, we propose two nonlinear circuits based on memristive systems in the presence of delay, i.e. memristive systems in which the state of the memristor depends on the time-delay. Both systems can exhibit chaotic behavior and, notably, in the second model, only a capacitor and a memristor are required to obtain chaos.

Synthesis of Topologically Conjugate Chaotic Nonlinear Circuits

1997 ◽  
Vol 07 (06) ◽  
pp. 1195-1223 ◽  
Author(s):  
Makoto Itoh
Keyword(s):  
Nonlinear Circuits ◽  
High Dimensional ◽  
Circuit Synthesis ◽  
Chaotic Circuits

In this letter, we present a method for synthesizing topologically conjugate chaotic nonlinear circuits. One advantage of our approach is that numerous results from classic circuit synthesis theory can be directly applied to generate a large variety of distinct but equivalent high-dimensional chaotic circuits.

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