• Title/Summary/Keyword: 카오스해석

Search Result 78, Processing Time 0.024 seconds

Microcontroller based Chaotic Lorenz System for Secure Communication Applications (암호통신 응용을 위한 마이크로 컨트롤러 기반 로렌츠 카오스 시스템)

  • Jayawickrama, Chamindra;Song, Hanjung
    • Journal of the Korea Institute of Information and Communication Engineering
    • /
    • v.22 no.12
    • /
    • pp.1698-1704
    • /
    • 2018
  • This paper presents a implementation of a chaotic Lorenz system for data secure communication applications. Here we have used PIC18F family-based microcontroller to generate the chaotic signal, and simulated waveform patterns confirm that the chaotic behavior of the microcontroller based discrete time chaotic Lorenz system. There are three R-2R ladder type A/D converters have been implemented for conversion of direct microcontroller digital output into analog waveform, utilizing this specific microcontroller relevant to this experiment work, microcontroller ports B, C and D have been utilized for its time waveform outputs X, Y and Z respectively. XC8 compiler used for the compilation of the program. MATLAB and PROTEUS software platforms are used for simulation. Finally, chaotic time wave forms, 2D chaotic attractors were obtained and secure communication analog waveforms were also verified by experimental measurement.

Analysis of Chaotic Behavior in Fractional Duffing Equation (Fractional Duffing 방정식에서의 카오스 거동 해석)

  • Bae, Young-Chul
    • The Journal of the Korea institute of electronic communication sciences
    • /
    • v.10 no.12
    • /
    • pp.1389-1394
    • /
    • 2015
  • Recently many effort appears applying the concept of fractional calculus that can be represented by fractional differential equation in the control engineering, physics and mathematics. This paper describes the fractional order with real order for Duffing equation which can be represented by integer order. This paper also confirms the existence of chaotic behaviors by using time series and phase portrait with varying the parameter of real order.

Analysis of Dynamical State Transition and Effects of Chaotic Signal in Continuous-Time Cyclic Neural Network (리미트사이클을 발생하는 연속시간 모델 순환결합형 신경회로망에서 카오스 신호의 영향)

  • Park Cheol-Young
    • Journal of the Korean Institute of Intelligent Systems
    • /
    • v.16 no.4
    • /
    • pp.396-401
    • /
    • 2006
  • It is well-known that a neural network with cyclic connections generates plural limit cycles, thus, being used as a memory system for storing large number of dynamic information. In this paper, a continuous-time cyclic connection neural network was built so that each neuron is connected only to its nearest neurons with binary synaptic weights of ${\pm}1$. The type and the number of limit cycles generated by such network has also been demonstrated through simulation. In particular, the effect of chaos signal for transition between limit cycles has been tested. Furthermore, it is evaluated whether the chaotic noise is more effective than random noise in the process of the dynamical neural networks.

Frequency Analysis of a Transconductor based Chua's Circuit with the MOS Variable Resistor for Secure Communication Applications (암호통신응용을 위한 MOS 가변저항을 가진 트랜스콘덕터 기반 추아회로의 주파수 해석)

  • Nam, Sang-Guk;Song, Han-Jung
    • Journal of the Korea Academia-Industrial cooperation Society
    • /
    • v.13 no.12
    • /
    • pp.6046-6051
    • /
    • 2012
  • In this paper, we designed a Chua's chaotic circuit using transcondcutor based nonlinear resistor for secure communication applications. Proposed chaotic circuit consist of passive devices such as L and C, a MOS based variable resistor and a transcondcutor based Chua's diode. From SPICE simulation results, the proposed circuit showed variable chaotic dynamics through time waveforms, frequency analysis and phase plots.

Effects of Chaotic Signal in the Neural Networks Generating Limit Cycles (리미트사이클을 발생하는 신경회로망에 시어서 카오스 신호의 영향)

  • 김용수;박철영
    • Proceedings of the Korea Society for Industrial Systems Conference
    • /
    • 2002.06a
    • /
    • pp.361-366
    • /
    • 2002
  • It has been reported that neural network with cyclic connections generates limit cycles. The dynamics of discrete time network with cyclic connections has been analyzed. But the dynamics of cyclic network in continuous time has not been known well due to its huge calculation complexity. In this paper, we study the dynamics of the continuous time network with cyclic connections and the effect of chaotic signal in the network for transitions between limit cycles.

  • PDF

Effects of Chaotic Signal in the Cyclic Connection Neural Networks (순환결합형 뉴럴네트워크에 있어서 카오스 신호의 영향)

  • 박철영
    • Journal of Korea Society of Industrial Information Systems
    • /
    • v.7 no.4
    • /
    • pp.22-28
    • /
    • 2002
  • It has been reported that neural network with cyclic connections generates limit cycles. The dynamics of discrete time network with cyclic connections has been analyzed. But the dynamics of cyclic network in continuous time has not been known well due to its huge calculation complexity. In this paper, we study the dynamics of the continuous time network with cyclic connections and the effect of chaotic signal in the network for transitions between limit cycles.

  • PDF

Integrated Circuit Implementation and Characteristic Analysis of a CMOS Chaotic Neuron for Chaotic Neural Networks (카오스 신경망을 위한 CMOS 혼돈 뉴런의 집적회로 구현 및 특성 해석)

  • Song, Han-Jeong;Gwak, Gye-Dal
    • Journal of the Institute of Electronics Engineers of Korea CI
    • /
    • v.37 no.5
    • /
    • pp.45-53
    • /
    • 2000
  • This paper presents an analysis of the dynamical behavor in the chaotic neuron fabricated using 0.8${\mu}{\textrm}{m}$ single poly CMOS technology. An approximated empirical equation models for the sigmoid output function and chaos generative block of the chaotic neuron are extracted from the measurement data. Then the dynamical responses of the chaotic neuron such as biurcation diagram, frequency responses, Lyapunov exponent, and average firing rate are calculated with numerical analysis. In addition, we construct the chaotic neural networks which are composed of two chaotic neurons with four synapses and obtain bifurcation diagram according to synaptic weight variation. And results of experiments in the single chaotic neuron and chaotic neural networks by two neurons with the $\pm$2.5V power supply and sampling clock frequency of 10KHz are shown and compared with the simulated results.

  • PDF

The chaotic motion analysis by hardware implementation of Bonhoeffer Van der Pol oscillation model (Bonhoeffer Van der Pol 오실레이터 모델의 하드웨어 구현에 의한 카오스 운동 해석)

  • Bae, Yeong-Cheol;Seo, Sam-Mun;Im, Hwa-Yeong
    • The Transactions of the Korea Information Processing Society
    • /
    • v.3 no.4
    • /
    • pp.877-882
    • /
    • 1996
  • The effects of periodic and chaotic behaviour in the Bonhoeffer-Van der Pol (BVP) oscillation of the nerve membrane driven by a periodic stimulating current A1 coswtare investigated through hardware implementation.For hardware implementation of the BVP model. real element values were escaled with computer simulation results to determine the parameter real value.As the parameter A1 varied in the range 0 to 1.3, the BVP model showed an ordinary and reversed period-doubling cascade and a chaotic state. At the low driving amplitude ofa1 the period-doubling showed and at the high driving amplitude of A1 the chaotic state occured. To analyse the BVP model for chaotic behaviour Phase Plane, Time series are used to verify that properties.

  • PDF

Mechanism and Measure of Chaotic Mixing in a Single-screw Extruder (단축 압축기에서의 카오스 혼합의 메카니즘과 혼합성능 정량와)

  • 권태헌
    • The Korean Journal of Rheology
    • /
    • v.8 no.1
    • /
    • pp.11-29
    • /
    • 1996
  • 스크류 채널 내에 주기적을 배리어를 설치함으로써 단축 스크류 압출 공정에서의 혼합 성능이 높여질수 있음이 S.J. Kim과 T.H. Kwom에 의해 밝혀진 바있다. 그들은 이새 로운 스크류를 통한 혼합이 카오틱하는 점으로부터 이 새로운 스크류를 카오스 스크류라고 명명했다. 우리는 카오스 스크류가 장착된 단축 압출공정에서 역학계 이론과 혼합운동학을 연계하여 연구를 수행하였다. 포인카레 단면을 통한 연구로부터 우리는 배리어의 배열이 islan의 크기에 대단히 밀접하게 관련되어 있음을 발견하였다. 연속적인 쉘 변형은 카오틱 유동에서 유체 요소를 지수 함수 형태로 늘이는 늘임과 접힘으로 이루어진 카오틱 혼합 메 카니즘을보여준다. 유체요소의 국부 늘임은 원리상으로는 계산되어질수 있으나 수치 해석상 의 어려운 점이 있다. 정규 유동에서와 달리 카오틱 유동에서는 입자 추적이 Runge-Kutta 적분중의 시간간격에 대단히 민감하다. 그래서 실제 사용될수 있는 시간 간격에 의해 계산 된 국부 늘임율 및 혼합효율의 정확도가 보장되어지지 않는다. 이러한 점들을 고려하여 우 리는 새로운 혼합 척도로 $\sigma$z를 제안하는데 이값은 비교적 긴 유체선분이 채널방향을 따라 늘어나는 비에 관련된 값이다. 배리어 영역의 길이가 짧을수록 $\sigma$z는 큰값으로 나타나지만 포인카레 단면에 의한 연구에 따르면 배리어의 주기가 너무 짧다면 두 개의 거대한 island 가 존재하는 것으로 밝혀졌다. 그리고 이러한 사실은 유체요소의 늘임비가 크다는 것이 항 상 좋은 혼합성능을 뜻하는 것은 아니라는 점을 보여준다. 이러한 관점에서 볼 때 혼합 스 크류를 설계하는데 있어서는 포인카레 단면을 병행하여 ${\sigma}_z$의 값을 사용하는 것이 바람직할 것이다.

  • PDF