Experimental Results of Impulsive Synchronization Between Two Chua's Circuits

1998 ◽  
Vol 08 (03) ◽  
pp. 639-644 ◽  
Author(s):  
Andrey I. Panas ◽  
Tao Yang ◽  
Leon O. Chua
Keyword(s):  
Dynamic Systems ◽  
Spread Spectrum ◽  
Secure Communication ◽  
Communication Systems ◽  
Experimental Results ◽  
Parameter Mismatch ◽  
Driving System ◽  
Impulsive Synchronization ◽  
Driven System ◽  
Chaotic Secure Communication

Impulsive synchronization of chaotic dynamic systems has some important applications to chaotic secure communication and chaotic spread-spectrum communication systems. In this paper we present some experimental results on impulsive synchronization between two Chua's circuits. In our experiments, only one synchronizing impulse sequence is transmitted. The robustness of impulsive synchronization with respect to variations in the frequency and the width of impulses is studied. Experimental results show that robust impulsive synchronization can be achieved under noisy conditions and a 2% parameter mismatch between the driving system and the driven system. We also found that an amplified impulse sequence with a gain greater than unity can make the impulsive synchronization more robust. Moreover, we found that impulsive synchronization can be achieved with very narrow impulses.

EXPERIMENTAL STUDY OF IMPULSIVE SYNCHRONIZATION OF CHAOTIC AND HYPERCHAOTIC CIRCUITS

1999 ◽  
Vol 09 (07) ◽  
pp. 1393-1424 ◽  
Author(s):  
MAKOTO ITOH ◽  
TAO YANG ◽  
LEON O. CHUA
Keyword(s):  
Spread Spectrum ◽  
Communication Systems ◽  
Additive Noise ◽  
Experimental Results ◽  
Impulsive Synchronization ◽  
State Variable ◽  
Chua’S Oscillator ◽  
Chaotic Circuits ◽  
Driving Circuit ◽  
Short Impulse

In this paper, experimental results on impulsive synchronization of two kinds of chaotic circuits; namely, Chua's oscillator and a hyperchaotic circuit, are presented. To impulsively synchronize two Chua's oscillators, synchronization impulses sampled from one state variable of the driving circuit are transmitted to the driven circuit. To impulsively synchronize two hyperchaotic circuits, synchronizing impulses sampled from two signals of the driving circuit are sent to the driven circuit. Our experimental results show that the accuracy of impulsive synchronization depends on both the period and the width of the impulse. The ratio between the impulse width and impulse period for "almost-identical" synchronization increases as the impulse period increases. The robustness of impulsive synchronization to additive noise is also experimentally studied. For sufficiently short impulse periods, no significant differences are observed between impulsive and continuous synchronizations. The performance of chaotic spread spectrum communication systems based on impulsive synchronization is also studied experimentally.

Encryption of Analog and Digital signals through Synchronized Chaotic Systems

2011 ◽  
pp. 415-438
Author(s):  
Kehui Sun
Keyword(s):  
Secure Communication ◽  
Communication Systems ◽  
Chaotic Sequence ◽  
Digital Signals ◽  
Encryption Schemes ◽  
Shift Keying ◽  
Chaos Shift Keying ◽  
Sequence Generator ◽  
Chaotic Secure Communication ◽  
Spreading Spectrum

Chaos is characterized by aperiodic, wideband, random-like, and ergodicity. Chaotic secure communication has become one of the hot topics in nonlinear dynamics since the early 1990s exploiting the technique of chaos synchronization. As distinguished by the type of information being carried, chaos-based communication systems can be categorized into analogy and digital, including four popular techniques such as Chaos Masking, Chaos Shift Keying, Chaos Modulation, and Chaos Spreading Spectrum. In this chapter, the principles of these schemes and their modifications are analyzed by theoretical analysis as well as dynamic simulation. In addition, chaos-based cryptography is a new approach to encrypt information. After analyzing the performances of chaotic sequence and designing an effective chaotic sequence generator, the authors briefly presented the principle of two classes of chaotic encryption schemes, chaotic sequence encryption and chaotic data stream encryption.

CHAOTIC SECURE COMMUNICATION WITH QUADRATIC OPTIMAL PERFORMANCE VIA LMI-BASED OBSERVER DESIGN

2010 ◽  
Vol 20 (10) ◽  
pp. 3311-3322 ◽  
Author(s):  
CHAIO-SHIUNG CHEN
Keyword(s):  
Secure Communication ◽  
Observer Design ◽  
Nonlinear Observer ◽  
Linear Matrix ◽  
External Disturbances ◽  
Global Synchronization ◽  
Parameter Mismatch ◽  
Control Approach ◽  
Quadratic Optimal Control ◽  
Chaotic Secure Communication

This paper considers an observer-based secure communication of chaotic systems with parameter mismatch, parametric perturbations and external disturbances on both transmitter and receiver systems. Based on the quadratic optimal control approach, a nonlinear observer is constructed to realize chaotic synchronization. The sufficient criterion for stability condition is formulated in two linear matrix inequality (LMI) forms. The error of the recovered message is then stated in an H∞ criterion. Using the proposed scheme, the global synchronization between the transmitter and the receiver can be obtained. Furthermore, the quadratic optimal and robust performance could be achieved in the chaos-based secure communication. Two numerical simulations of the Chua's circuit and the Rössler system verify the effectiveness of the proposed scheme.

scholarly journals Information encryption algorithm based on two chaotic dynamic systems for secure communication systems

2013 ◽  
Vol 15 (4) ◽  
Author(s):  
Григорій Васильович Косован ◽  
Микола Ярославович Кушнір ◽  
Леонід Францович Політанський
Keyword(s):  
Dynamic Systems ◽  
Secure Communication ◽  
Communication Systems ◽  
Chaotic Dynamic ◽  
Encryption Algorithm

Implementation of chaotic secure communication systems based on OPA circuits

2005 ◽  
Vol 23 (2) ◽  
pp. 589-600 ◽  
Author(s):  
Chuan-Kuei Huang ◽  
Shuh-Chuan Tsay ◽  
Yu-Ren Wu
Keyword(s):  
Secure Communication ◽  
Communication Systems ◽  
Chaotic Secure Communication

SC-CNNs for Chaotic Signal Applications in Secure Communication Systems

2003 ◽  
Vol 13 (06) ◽  
pp. 461-468 ◽  
Author(s):  
Riccardo Caponetto ◽  
Luigi Fortuna ◽  
Luigi Occhipinti ◽  
Maria Gabriella Xibilia
Keyword(s):  
Secure Communication ◽  
Communication Systems ◽  
Chaotic Signal ◽  
Inverse System ◽  
Experimental Results ◽  
Circuit Implementation ◽  
System Synchronization

In this paper a CNNs based circuit for the generation of hyperchaotic signals is proposed. The circuit has been developed for applications in secure communication systems. An Saito oscillator has been designed by using a suitable configuration of a four-cells State-Controlled CNNs. A cryptography system based on the Saito oscillator has been implemented by using inverse system synchronization. The proposed circuit implementation and experimental results are given.

scholarly journals Design and Realization of a Hyperchaotic Memristive System for Communication System on FPGA

2020 ◽  
Vol 37 (6) ◽  
pp. 939-953
Author(s):  
Muhammet Emin Sahin ◽  
Hasan Guler ◽  
Serdar Ethem Hamamci
Keyword(s):  
Spread Spectrum ◽  
Secure Communication ◽  
Communication Systems ◽  
Initial Conditions ◽  
Equilibrium Points ◽  
Hyperchaotic System ◽  
Dynamical Characteristics ◽  
Memristive System ◽  
Sensitive Dependence ◽  
Chaotic Circuits

In this study, a memristor based hyperchaotic circuit is presented and implemented for communication systems on FPGA platform. Four dimensional hyperchaotic system, which contains active flux controlled memristor is designed by using a smooth continuous nonlinearity. Dynamical characteristics of designed hyperchaotic circuit are examined such as equilibrium points, chaotic attractors, Lyapunov exponents and bifurcation diagram. Furthermore, an electronic circuit model of hyperchaotic system has been modeled and results are submitted. Chaotic circuits are used in communication systems especially in secure communication due to their sensitive dependence on the initial conditions, not periodic, and having a spread spectrum. By using nonlinearity of memristor, the signals obtained from memristor based hyperchaotic system have been realized to analog and digital communication schemes on FPGA platform, which is suitable for re-programmable and reconfigurable systems. The success of memristor based hyperchaotic circuit with FPGA based communication is demonstrated by both simulation and experimental results.

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