• 제목/요약/키워드: Chaotic map

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An Efficient Chaotic Image Encryption Algorithm Based on Self-adaptive Model and Feedback Mechanism

  • Zhang, Xiao;Wang, Chengqi;Zheng, Zhiming
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.11 no.3
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    • pp.1785-1801
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    • 2017
  • In recent years, image encryption algorithms have been developed rapidly in order to ensure the security of image transmission. With the assistance of our previous work, this paper proposes a novel chaotic image encryption algorithm based on self-adaptive model and feedback mechanism to enhance the security and improve the efficiency. Different from other existing methods where the permutation is performed by the self-adaptive model, the initial values of iteration are generated in a novel way to make the distribution of initial values more uniform. Unlike the other schemes which is on the strength of the feedback mechanism in the stage of diffusion, the piecewise linear chaotic map is first introduced to produce the intermediate values for the sake of resisting the differential attack. The security and efficiency analysis has been performed. We measure our scheme through comprehensive simulations, considering key sensitivity, key space, encryption speed, and resistance to common attacks, especially differential attack.

A Study on the Prediction of the Nonlinear Chaotic Time Series Using a Self-Recurrent Wavelet Neural Network (자기 회귀 웨이블릿 신경 회로망을 이용한 비선형 혼돈 시계열의 예측에 관한 연구)

  • Lee, Hye-Jin;Park, Jin-Bae;Choi, Yoon-Ho
    • Proceedings of the KIEE Conference
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    • 2004.07d
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    • pp.2209-2211
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    • 2004
  • Unlike the wavelet neural network, since a mother wavelet layer of the self-recurrent wavelet neural network (SRWNN) is composed of self-feedback neurons, it has the ability to store past information of the wavelet. Therefore we propose the prediction method for the nonlinear chaotic time series model using a SRWNN. The SRWNN model is learned for the modeling of a function such that the inputs arc known values of the time series and the output is the value in the future. The parameters of the network are tuned to minimize the difference between the nonlinear mapping of the chaotic time series and the output of SRWNN using the gradient-descent method for the adaptive backpropagation algorithm. Through the computer simulations, we demonstrate the feasibility and the effectiveness of our method for the prediction of the logistic map and the Mackey-Glass delay-differential equation as a nonlinear chaotic time series.

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Chaotic Response of a Spherical Shell to Impulsive Loading (충격력을 받는 구형 쉘의 혼돈거동 해석)

  • 이재영;강영철
    • Computational Structural Engineering
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    • v.10 no.3
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    • pp.167-174
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    • 1997
  • Engineers must be aware of possible sources of chaotic behavior. They may render conventional design predictions untrustworthy and potentially unsafe because of the sensitivity to initial conditions. Dynamic responses of a spherical shell subjected to impulsive loading which act on the center are analyzed using the finite element method. The chaotic responses are identified by the standard methods, such as displacement-time histories, Poincare maps, and phase diagrams. The responses are chaotic, but, not so sensitive to the initial conditions, and the characteristics of responses are not changed with time, in contrast to the case of the responses of beam. The Poincare points scattered in the limited area represent that the responses are chaotic, but do not show the geometric structures. The snap-through phenomena of the shell to the side of the direction of the load or of the opposite direction, is analysed by using the energy diagram.

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Chaos의 세계 I

  • 서용권
    • Journal of the KSME
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    • v.29 no.5
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    • pp.520-524
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    • 1989
  • chaos란 "질서 있는 무질서"를 의미한다. chaos의 큰 특징은 초기조건에의 민감성이다. 역으로 말 하면, 주어진 운동은 초기조건에 민감하므로 chaotic한 운동을 한다고 말할 수 있겠다. 제2장에서 는 유동문제의 대표격인 Lorenz chaos를 살펴보고, 3장에서는 동역학 문제인 Duffing-Holmes방 정식, 4장에서는 map의 대명사인 logistic map을, 5장에서는 기타 무수히 많은 분야 중 기계공 학에 가장 가까운 것들을 골라 연구된 내용을 소개하고 그 특징들을 살펴본다. 6장과 7장에서는 chaos의 정량화를 위한 Lyapunov지수와 fractal dimension의 개념과 그 계산 방법을 다룬다. 8 장에서는 현재까지도 그 의문이 풀리지 않은, chaos학문의 큰 관심사인, 난류의 시작문제를 취 급하고, 마지막으로 9장에서는 문제점, 과제 및 앞으로의 전망을 살펴보기로 한다. 살펴보기로 한다.

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RELATION BETWEEN KNEADING MATRICES OF A MAP AND ITS ITERATES

  • Gopalakrishna, Chaitanya;Veerapazham, Murugan
    • Communications of the Korean Mathematical Society
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    • v.35 no.2
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    • pp.571-589
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    • 2020
  • It is known that the kneading matrix associated with a continuous piecewise monotone self-map of an interval contains crucial combinatorial information of the map and all its iterates, however for every iterate of such a map we can associate its kneading matrix. In this paper, we describe the relation between kneading matrices of maps and their iterates for a family of chaotic maps. We also give a new definition for the kneading matrix and describe the relationship between the corresponding determinant and the usual kneading determinant of such maps.

Design of digital communication systems using DCSK chaotic modulation (DCSK 카오스 변조를 이용한 디지털 통신 시스템의 설계)

  • Jang, Eun-Young
    • The Journal of the Korea institute of electronic communication sciences
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    • v.10 no.5
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    • pp.565-570
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    • 2015
  • Spread spectrum communications have increased interest due to their immunity to channel fading and low probability of intercept. One of the limitations of the traditional digital spread spectrum systems is the need for spreading code synchronization. Chaotic communication is the analogue alternative of digital spread spectrum systems beside some extra features like simple transceiver structures. In this paper, This paper was used instead of the digital modulation and demodulation carriers for use in the chaotic signal in a digital communication system among the chaotic modulation schemes, the Differential Chaos Shift Keying(DCSK) is the most efficient one because its demodulator detects the data without the need to chaotic signal phase recovery. Also Implementation of Differential Chaos Shift Keying Communication System Using Matlab/Simulink and the receiver con decode the binary information sent by the transmitter, performance curves of DCSK are given in terms of bit-error probability versus signal to noise ratio with spreading factor as a parameter and we compare it to BPSK modulation.

Chaotic Rocking Vibration of a Rigid Block with Sliding Motion Under Two-Dimensional Harmonic Excitation

  • Jeong, Man-Yong;Kim, Jeong-Ho;Yang, In-Young
    • Journal of Mechanical Science and Technology
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    • v.16 no.9
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    • pp.1040-1053
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    • 2002
  • This research deals with the influence of nonlinearities associated with impact and sliding upon the rocking behavior of a rigid block, which is subjected to two-dimensional horizontal and vertical excitation. Nonlinearities in the vibration were found to depend strongly on the effect of the impact between the block and the base, which involves an abrupt reduction in the system's kinetic energy. In particular, when sliding occurs, the rocking behavior is substantially changed. Response analysis using a non-dimensional rocking equation was carried out for a variety of excitation levels and excitation frequencies. The chaos responses were observed over a wide response region, particularly, in the cases of high vertical displacement and violent sliding motion, and the chaos characteristics appear in the time histories, Poincare maps, power spectra and Lyapunov exponents of the rocking responses. The complex behavior of chaotic response, in phase space, is illustrated by the Poincare map. The distribution of the rocking response is described by bifurcation diagrams and the effects of sliding motion are examined through the several rocking response examples.

The Study of Compatibility for Method of Analysis of Nonlinear Characteristics of Blood Flow of Peripheral in Rabbit (토끼에 있어서 말초혈류운동의 비선형특성분석방법의 적합성에 관한 연구)

  • 남상희;최준영;이상훈
    • Progress in Medical Physics
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    • v.8 no.1
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    • pp.75-82
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    • 1997
  • The human physiological systems are so complex and irregular dynamics. Dynamics of peripheral blood vessel, in particular, have quite sensitive and complex. Before, the linear analytic method have been used to analyze the system. But, the method have many problems to predict the following results. In the other hand, the nonlinear analytic method, chaotic time series analysis method, is suitable for measuring complex, vary system. In this study, the scalar data of the blood flow of peripheral blood vessel of rabbits, in accordance with injection of glucose, was obtained and redefined as multi-dimensional vectors, with time-series analytic methods. This study also intended to confirm that the peripheral blood flow is chaotic dynamics and evaluate the availability of non-linear analytic method. As a result, the existing FFT, and mean could show the difference of blood flow of peripheral blood vessel by injection of glucose, but the nonlinear analytic method could show the definite difference. The hemodynamics is a chaotic phenomenon.

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Adaptive Hangul Steganography Based on Chaotic Encryption Technique (혼돈 암호화 기법에 기반한 적응된 한글 스테가노그래피)

  • Ji, Seon-Su
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.13 no.3
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    • pp.177-183
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    • 2020
  • Steganography uses digital images as a medium for sending secret messages over insecure networks. There is also a least significant bit(LSB) that is a popular method of embedding secret messages in digital images. The goal of steganography is to securely and flawlessly transmit secret messages using stego media over a communication channel. There is a need for a method to improve resistance to reduce the risk of exposure to third parties. To safely hide secret messages, I propose new algorithms that go through crossing, encryption, chaos and concealment steps. After separating Hangul syllables into choseong, jungseong and jongseong, the bitwised message information is encrypted. After applying the logistic map, bitwised information is reconstructed using the position of the chaotic sequence. The secret message is inserted into the randomly selected RGB channel. PSNR and SSIM were used to confirm the effectiveness of the applied results. It was confirmed as 44.392(dB) and 0.9884, respectively.

Adaptive Multi-class Segmentation Model of Aggregate Image Based on Improved Sparrow Search Algorithm

  • Mengfei Wang;Weixing Wang;Sheng Feng;Limin Li
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.17 no.2
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    • pp.391-411
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    • 2023
  • Aggregates play the skeleton and supporting role in the construction field, high-precision measurement and high-efficiency analysis of aggregates are frequently employed to evaluate the project quality. Aiming at the unbalanced operation time and segmentation accuracy for multi-class segmentation algorithms of aggregate images, a Chaotic Sparrow Search Algorithm (CSSA) is put forward to optimize it. In this algorithm, the chaotic map is combined with the sinusoidal dynamic weight and the elite mutation strategies; and it is firstly proposed to promote the SSA's optimization accuracy and stability without reducing the SSA's speed. The CSSA is utilized to optimize the popular multi-class segmentation algorithm-Multiple Entropy Thresholding (MET). By taking three METs as objective functions, i.e., Kapur Entropy, Minimum-cross Entropy and Renyi Entropy, the CSSA is implemented to quickly and automatically calculate the extreme value of the function and get the corresponding correct thresholds. The image adaptive multi-class segmentation model is called CSSA-MET. In order to comprehensively evaluate it, a new parameter I based on the segmentation accuracy and processing speed is constructed. The results reveal that the CSSA outperforms the other seven methods of optimization performance, as well as the quality evaluation of aggregate images segmented by the CSSA-MET, and the speed and accuracy are balanced. In particular, the highest I value can be obtained when the CSSA is applied to optimize the Renyi Entropy, which indicates that this combination is more suitable for segmenting the aggregate images.