Intermingled attractors in an asymmetrically driven modified Chua oscillator

2022 ◽  
Vol 32 (1) ◽  
pp. 013106
Author(s):  
Thierry Tanze Wontchui ◽  
Michael Ekonde Sone ◽  
Sangeeta Rani Ujjwal ◽  
Joseph Yves Effa ◽  
Henri Paul Ekobena Fouda ◽  
...  
Keyword(s):  
Chua Oscillator

A Single-Node Classifier Implementation on Chua Oscillator within a Physical Reservoir Computing Framework

2021 ◽  
Vol 31 (11) ◽  
pp. 2150161
Author(s):  
Uladzislau Sychou
Keyword(s):  
Computer Simulation ◽  
Control Parameter ◽  
Chaotic Oscillator ◽  
Reservoir Computing ◽  
Single Node ◽  
Short Pulses ◽  
Chaotic Mode ◽  
Computing Framework ◽  
Chua Oscillator

The study lies in the field of physical reservoir computing and aims to develop a classifier using Fisher Iris dataset for benchmark tasks. Single Chua chaotic oscillator acts as a physical reservoir. The study was performed using computer simulation. The features of Iris flowers are represented as the consequence of short pulses at a constant level of a control parameter, which is fed to the oscillator, changing its dynamics. During the classification of flowers, the oscillator works without being reset, so each pulse on the input changes the phase trajectory and makes it unique for each Iris flower. Finally, the estimation of the symmetry of an attractor makes it possible to connect each species of Iris with the properties of the attractor. The resulting architecture of the classifier includes a single-node externally-driven Chua oscillator with time-delayed input. The classifier shows two mistakes in classifying the dataset with 75 samples working in chaotic mode.

scholarly journals Inductorless realisation of Chua oscillator

1995 ◽  
Vol 31 (17) ◽  
pp. 1403-1404 ◽  
Author(s):  
Ö. Morgül
Keyword(s):  
Chua Oscillator

scholarly journals EMI Reduction in Low Input Ripple DC-DC Converter using Chaos PWM technique

2018 ◽  
Vol 2 (2) ◽  
Author(s):  
Antonella Ragusa ◽  
Giuseppe Marsala
Keyword(s):  
Energy Spectrum ◽  
Output Voltage ◽  
Power Converters ◽  
Input Current ◽  
Pwm Control ◽  
Low Input ◽  
Chua Oscillator ◽  
Chaotic Carrier ◽  
Emi Reduction

This paper presents a chaotic PWM switching technique for a high boost DC-DC converter with a very low ripple at the input current. The use of a choatic PWM allows a reduction of Electromagnetic In (EMI) at the output of power converters by spreading the energy spectrum of the output voltage. In this paper a chaotic PWM, using the Chua oscillator, has been implemented in Matlab for the converter under study and a comparison with a traditional PWM control has been done. A detailed description of the generation of the chaotic carrier is presented and the effect on the output EMI mitigation has been shown.

PCCHUA — A LABORATORY SETUP FOR REAL-TIME CONTROL AND SYNCHRONIZATION OF CHAOTIC OSCILLATIONS

2005 ◽  
Vol 15 (08) ◽  
pp. 2349-2360 ◽  
Author(s):  
LEONARDO A. B. TÔRRES ◽  
LUIS ANTONIO AGUIRRE
Keyword(s):  
Real Time ◽  
Low Cost ◽  
Real Time Control ◽  
Time Restrictions ◽  
Laboratory Setup ◽  
Time Control ◽  
Variable Control ◽  
Control Schemes ◽  
Control And Synchronization ◽  
Chua Oscillator

This paper describes a laboratory setup suitable for implementing low cost real-time solutions in the fields of control, synchronization and information transmission based on chaotic oscillators. The setup has the following features: (a) it is composed of a Chua oscillator furnished with three actuators thus permitting mono- and multi-variable control; (b) the actuators can be driven by the analog outputs of a standard I/O-board; in order to be able to actuate fast enough (c) the I/O-board is driven by a real time program written for Linux and (d) an inductorless implementation of Chua's circuit permits to slow down the original dynamics to just a few hertz. This enables implementing sophisticated control schemes without severe time restrictions. The paper concludes with a sample of experiments performed using the new setup.

AN UNIVERSAL PHENOMENON IN MUTUALLY COUPLED CHUA'S CIRCUIT FAMILY

2014 ◽  
Vol 23 (02) ◽  
pp. 1450028 ◽  
Author(s):  
CHRISTOS K. VOLOS ◽  
IOANNIS M. KYPRIANIDIS ◽  
IOANNIS N. STOUBOULOS
Keyword(s):  
Family Systems ◽  
Coupled Systems ◽  
Chua’S Circuit ◽  
Complete Synchronization ◽  
Lag Synchronization ◽  
Chua's Circuit ◽  
Key Points ◽  
Simulation Results ◽  
Chua Oscillator ◽  
Circuit Family

This paper presents the universality of the coexistence of complete synchronization with the recently new proposed inverse π-lag synchronization, in the case of mutually coupled systems of Chua's circuit family. The phenomenon of multistability and the nature of this circuit family systems are the key-points which lead to the explanation of this coexistence. For the need of this work, the most representative circuit of this circuits' family, the Chua oscillator, is used. Simulation results confirm this universality in the class of Chua's circuit family.

A GALLERY OF CHUA ATTRACTORS PART V

2007 ◽  
Vol 17 (05) ◽  
pp. 1383-1511 ◽  
Author(s):  
ELEONORA BILOTTA ◽  
GIANPIERO DI BLASI ◽  
FAUSTO STRANGES ◽  
PIETRO PANTANO
Keyword(s):  
Experimental Data ◽  
Time Series ◽  
Characteristic Function ◽  
Parameter Space ◽  
Three Dimensional ◽  
Special Kind ◽  
Cubic Equation ◽  
Different Shapes ◽  
Chua Oscillator ◽  
The Universe

Chua Oscillator and its generalizations display a variety of chaotic behaviors, whose most startling manifestation is the presence of strange attractors. These come in many different shapes and sizes yet share a special kind of beauty. In the work reported in this paper, we explored the universe of these attractors — much of which is still virgin territory. We then recorded the most interesting and significant in a "Gallery of Chua attractors". In papers, published in previous issues of this journal, we showed how different versions of the Oscillator follow different "routes to chaos". Parts II–IV of the Gallery describe the attractors generated by the dimensional and dimensionless forms of the Oscillator as well as attractors generated by circuits with a cubic equation for the characteristic function of the Chua diode. Here, we provide a detailed discussion of single scroll Chua systems and present 248 attractors generated by such systems. For each attractor, we provide a three-dimensional image, time series and FFTs. We go on to describe the techniques used to create the Gallery and the main characteristics of the attractors it includes. We use techniques such as PCA to represent the gallery in parameter space. The same techniques allow us to manipulate the shape of the attractors by enlarging them along their main axes of development. We use Hausdorff distances to compare shapes, and exploit the results to create landscapes in parameter space. Finally, we present experimental data from a single scroll attractor, using inertial ellipsoids and Hausdorff distances to show how the shape of the attractor evolves.

Global asymptotic synchronization of a class of non-linear systems via sampled-data feedback

2016 ◽  
Vol 40 (1) ◽  
pp. 12-21 ◽  
Author(s):  
Song Yan ◽  
Chunjiang Qian ◽  
Tingwen Huang
Keyword(s):  
State Feedback ◽  
Tracking Error ◽  
Practical Importance ◽  
Output Feedback Control ◽  
Sampled Data ◽  
Data Feedback ◽  
Driven System ◽  
Sampled Signal ◽  
Chua Oscillator ◽  
Asymptotic Synchronization

In this paper, we investigate the problem of using sampled-data feedback to synchronize a slave (driven) system with a master (driver) system. Based on the domination approach, both state-feedback and output-feedback control methods using sampled-data are proposed to make the tracking error converge to zero. The problem is of practical importance since in practice the system state is transmitted as sampled signal, and very often only the output is measurable. The effectiveness of the proposed approach is illustrated by the simulation for a chaotic Chua oscillator.

Chaotic Synchronization of a Class of Nonlinear Systems via Sampled-Data State Feedback

2014 ◽  
Author(s):  
Song Yan ◽  
Chunjiang Qian ◽  
Tingwen Huang
Keyword(s):  
Chaotic System ◽  
State Feedback ◽  
Tracking Error ◽  
Practical Importance ◽  
Sampled Data ◽  
Data Feedback ◽  
Sampled Signal ◽  
System States ◽  
Data Controller ◽  
Chua Oscillator

This paper presents a control strategy for the problem of using sampled-data feedback to synchronize a slave chaotic system with a master chaotic system. The problem is of practical importance since in practice the system states is transmitted as a sampled signal. In order to solve this problem, a sampled-data controller using state feedback is designed to make the tracking error converge to zero. An application to a chaotic Chua oscillator illustrates the effectiveness of the proposed approach.

Robust Control Methods for Finite Time Synchronization of Uncertain Nonlinear Systems

2021 ◽  
pp. 364-398
Author(s):  
Kammogne Soup Soup Tewa Alain ◽  
Fotsin Hilaire Bertrand
Keyword(s):  
Control Strategy ◽  
Time Synchronization ◽  
Sliding Mode ◽  
Control Strategies ◽  
Control Methods ◽  
Robust Tracking Control ◽  
Colpitts Oscillator ◽  
Design And Implementation ◽  
Simulation Results ◽  
Chua Oscillator

This chapter addresses the dynamic analysis and two different control strategies for the synchronization of new topology of Colpitts oscillator submitted to uncertainties and external disturbances. The diagrams obtained reveal precisely spirals bifurcation and chaos when for a specific values of the system parameters. Based on the relevant control, the authors have controlled this striking phenomenon in the system. The first (control) deals with the sliding mode control (SMC) method. Some important aspects of the design and implementation are considered to reach a suitable controller for the applications. The second presents an adaptive robust tracking control strategy based on a modified polynomial observer which tends to follow exponentially the chaotic Colpitts circuits brought back to a topology of the Chua oscillator with perturbations. To highlight the contribution, they also present some simulation results with the purpose to compare the proposed method to the classical polynomial observer.

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