• The Journal of Natural Sciences
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• v.9 no.1
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• pp.75-81
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• 1997

The method of synchronization by feedbacking a signal of master system to a corresponding variable of slave system is applied to the Lorenz which is autonomous system. The two Lorenz systems are synchronized and the synchronization occurs when the consisting of the variable differences of the two systems generates infinite period of laminar phase. The characteristics of synchronization is analyzed in time series and phase spaces.

• Journal of the Korean Institute of Intelligent Systems
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• v.16 no.1
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• pp.18-23
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• 2006

The complex system synchronization methods improve based on synchronization theory; however, due to deeper level of complexity within complex system compared to that of chaos system, it is difficult to synchronize complex signals from complex system. In this paper, we proposed coupled-synchronization theory in the n-double scroll circuit and new embedding driven-synchronization theory, a method of accomplishing synchronization with only one parameter out of may parameters, in hyper-chaos circuit to apply synchronization in the complex system. By applying proposed synchronization method using computer simulation, we confirmed the accomplishment of superior synchronization in complex system.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.5 no.6
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• pp.1175-1183
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• 2001

In this paper, we use hyper chaos circuit which is made through the phase differences which is generated during the process of weak-coupling of CNN between two and more chaos attractors. Notwithstanding the complexity of the hyper chaos, we could do the synchronization and according to it, Secure communication through this method coo]d be accomplished. On this research, we configurated 2-double scroll and 3-double scroll circuit ,not using Chua circuit, but SC-CNN(State-Controlled CNN) which is more flexible to configure the system.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.19 no.7
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• pp.16-23
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• 2018

Chaos is one of the most significant topics in nonlinear science, and has been intensively studied since the Lorenz system was introduced. One characteristic of a chaotic system is that the signals produced by it do not synchronize with any other system. It therefore seems impossible for two chaotic systems to synchronize with each other, but if the two systems exchange information in just the right way, they can synchronize. This paper addresses the problem of synchronization in a modified Lorenz chaotic system based on active control, sliding mode control, and the Lyapunov stability theory. The considered synchronization scheme consists of identical drive and response generalized systems coupled with linear state error variables. For this, a brief overview of the modified Lorenz chaotic system is given. Then, control rules are derived for chaos synchronization via active control and slide mode control theory, with a strategy for solving the chattering problem. The asymptotic stability of the overall feedback system is established using the Lyapunov stability theory. A set of computer simulation works is presented graphically to confirm the validity of the proposed method.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.4 no.1
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• pp.241-250
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• 2000

Chua's circuit is a simple electronic network which exhibits a variety of bifurcation and attractors. The circuit consists of two capacitors, an inductor, a linear resistor, and a nonlinear resistor. In this paper, a transmitter and a receiver using two identical Chua's circuits are proposed and synchronizations and secure communication of a lossy equivalent transmission are investigated. Since the synchronization of the lossy equivalent transmission system is impossible by coupled synchronization, theory having both the drive-response and the coupled synchronization is proposed. The proposed method is synthesizing the desired information with the chaos circuit by adding the information signal to the chaos signal in the lossy equivalent transmission system.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.11 no.3
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• pp.143-148
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• 2011

In this paper, a backstepping design is proposed to achieve stabilization and synchronization for the Lorenz-Stenflo (LS) chaotic system. The proposed method is a recursive Lyapunov-based scheme and provides a systematic procedure to design stabilizing controllers. The proposed controller enables stabilization of the chaotic motion and synchronization of two identical LS chaotic systems using only a single control input. Numerical simulations are presented to validate the proposed method.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.11 no.2
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• pp.77-83
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• 2011

In this paper, an active backstepping design is proposed to achieve control and synchronization of a new hyperchaotic system. The proposed method is a systematic design approach and exists in a recursive procedure that interlaces the choice of a Lyapunov function with the design of the active control. The proposed controller enables stabilization of chaotic motion to the origin as well as synchronization of the two identical new hyperchaotic systems. Numerical simulations illustrate the validity of the proposed control technique.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• 2004.05b
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• pp.701-704
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• 2004

In this paper, we proposed that the synchronization method for build small world. In order to build a small world, we used Chua's oscillator which well represent the chaos dynamics and composed several stage with Chua's oscillator by using coupled synchronization method. This paper shows a synchronization result in the small world network using coupled synchronization method. Not only time series and phase plane are implemented but also degree of synchronization in the small world network is presented.

• The Journal of the Korea institute of electronic communication sciences
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• v.12 no.5
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• pp.747-754
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• 2017

Chaos-based secure communication systems are alternative of standard spread-spectrum systems that enable spreading the spectrum of the information signals and encrypting information signals with simple and inexpensive chaotic circuitry. In secure communication area, like Lorenz, Chua, Rossler, Duffing etc, classical systems are widely used. Malasoma chaotic system is topologically simple but their dynamical behaviors are non-linear synchronization and secure communication applications has not seen in paper. This paper aims for introducing a new chaotic system which is able to use as alternative to classical chaotic systems into secure communication fields. In addition, this new model simulates a synchronous communication system using P-C (Pecora-Carroll) method by verifying security with chaos signal through simulation. Modelling, synchronization and secure communication applications of Malasoma are realized respectively in MATLAB-Simulink environment. Retrieved results show that this novel chaotic system is able to use in secure communication fields.

• Proceedings of the Korea Society for Industrial Systems Conference
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• 1999.12a
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• pp.595-599
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• 1999

본 논문에서는 카오스 현상을 나타내는 수식을 변형하여 암호시스템이나 PN(pseudo-noise)시퀸스에 적용하기 위하여 복잡한 카오스 신호를 발생시키는 하이퍼카오스 VP 사상(HVPM, Hyper chaos Volume Preserving Maps)과 이들간의 카오스 동기화를 제안한다. 단계별 모듈러(modulus) 함수를 이용하여 랜덤한 카오스 신호를 발생시키기 위하여 이산시간(discrete-time) HVPM 모델을 설정하고, 수치해석 실험으로 아날로그 카오틱시퀸스(CAS. chaotic analog sequence)의 특징을 분석한다. 그리고 HVPM의 신호를 기존의 단순한 PC(Pecora, Carroll)방법을 응용한 치환동기화 (synchronous substitution)를 이용하여 구동 및 응답시스템간의 카오스 동기화(chaos synchronization) 제어를 한다. 수치실험에서 카오스 신호가 갖는 특징들을 확인할 수 있었으며, 치환동기시스템에서 효과적인 카오스 동기화가 수행됨을 증명할 수 있었다.