• Title/Summary/Keyword: Chaos System

Search Result 342, Processing Time 0.022 seconds

A Daily Maximum Load Forecasting System Using Chaotic Time Series (Chaos를 이용한 단기부하예측)

  • Choi, Jae-Gyun;Park, Jong-Keun;Kim, Kwang-Ho
    • Proceedings of the KIEE Conference
    • /
    • 1995.07b
    • /
    • pp.578-580
    • /
    • 1995
  • In this paper, a method for the daily maximum load forecasting which uses a chaotic time series in power system and artificial neural network. We find the characteristics of chaos in power load curve and then determine a optimal embedding dimension and delay time, For the load forecast of one day ahead daily maximum power, we use the time series load data obtained in previous year. By using of embedding dimension and delay time, we construct a strange attractor in pseudo phase plane and the artificial neural network model trained with the attractor font mentioned above. The one day ahead forecast errors are about 1.4% of absolute percentage average error.

  • PDF

A Simple Random Signal Generator Employing Current Mode Switched Capacitor Circuit

  • Yamakawa, Takeshi;Suetake, Noriaki;Miki, Tsutomu;Uchino, Eiji;Eguchi, Akihiro
    • Proceedings of the Korean Institute of Intelligent Systems Conference
    • /
    • 1993.06a
    • /
    • pp.865-868
    • /
    • 1993
  • This paper describes a simple random signal generator employing by CMOS analog technology in current mode. The system is a nonlinear dynamical system described by a difference equation, such as x(t+1) = f(x(t)) , t = 0,1,2, ... , where f($.$) is a nonlinear function of x(f). The tent map is used as a nonlinear function to produce the random signals with the uniform distribution. The prototype is implemented by using transistor array devices fabricated in a mass product line. It can be easily realized on a chip. Uniform randomness of the signal is examined by the serial correlation test and the $\chi$2 test.

  • PDF

A Behavior Analysis in the Circular Hybrid Subminiture Energy Harvesting Device (순환형 하이브리드 초소형 에너지 수확장치에서의 거동 해석)

  • Bae, Young-Chul
    • The Journal of the Korea institute of electronic communication sciences
    • /
    • v.8 no.11
    • /
    • pp.1691-1696
    • /
    • 2013
  • In this paper, an analysis of behavior is performed in the circular hybrid energy harvesting device. This analysis of behavior is to confirm with or without an existence of nonlinear system because its system is required to produce the more energy. To do this, first of all the phase portrait is reconstructed through Taken's embedding method, and then Poincare map is organized by using phase portrait and finally Lyapunov exponent is analyzed.

Chaos Synchronization Using Chua's Circuit (Chua 회로를 이용한 카오스 동기화)

  • Bae, Yeong-Chul;Ko, Jae-Ho;Lee, Kwang-Won;Suh, Sam-Moon;Yim, Wha-Yeong
    • Proceedings of the KIEE Conference
    • /
    • 1996.07b
    • /
    • pp.1086-1088
    • /
    • 1996
  • A number of recent paper have investigated the feasibility of synchronizing chaotic system. In this paper we proposed the chaotic synchronization of the canonical. Chua's circuit with RLCG transmission line by drive-response system. We expect that proposed method is available to secure communication with RLCG transmission line.

  • PDF

Generalized Predictive Control of Chaotic Systems Using a Self-Recurrent Wavelet Neural Network (자기 회귀 웨이블릿 신경 회로망을 이용한 혼돈 시스템의 일반형 예측 제어)

  • You, Sung-Jin;Choi, Yoon-Ho;Park, Jin-Bae
    • Proceedings of the KIEE Conference
    • /
    • 2003.11c
    • /
    • pp.421-424
    • /
    • 2003
  • This paper proposes the generalized predictive control(GPC) method of chaotic systems using a self-recurrent wavelet neural network(SRWNN). The reposed SRWNN, a modified model of a wavelet neural network(WNN), has the attractive ability such as dynamic attractor, information storage for later use. Unlike a WNN, since the SRWNN has the mother wavelet layer which is composed of self-feedback neurons, mother wavelet nodes of the SRWNN can store the past information of the network. Thus the SRWNN can be used as a good tool for predicting the dynamic property of nonlinear dynamic systems. In our method, the gradient-descent(GD) method is used to train the SRWNN structure. Finally, the effectiveness and feasibility of the SRWNN based GPC is demonstrated with applications to a chaotic system.

  • PDF

STATIONARY GLOBAL DYNAMICS OF LOCAL MARKETS WITH QUADRATIC SUPPLIES

  • Kim, Yong-In
    • The Pure and Applied Mathematics
    • /
    • v.16 no.4
    • /
    • pp.427-441
    • /
    • 2009
  • The method of Lattice Dynamical System is used to establish a global model on an infinite chain of many local markets interacting each other through a diffusion of prices between them. This global model extends the Walrasian evolutionary cobweb model in an independent single local market to the global market evolution. We assume that each local market has linear decreasing demands and quadratic supplies with naive predictors, and investigate the stationary behaviors of global price dynamics and show that their dynamics are conjugate to those of $H{\acute{e}}non$ maps and hence can exhibit complicated behaviors such as period-doubling bifurcations, chaos, and homoclic orbits etc.

  • PDF

TRAVELING WAVE GLOBAL PRICE DYNAMICS OF LOCAL MARKETS WITH LOGISTIC SUPPLIES

  • Kim, Yong-In
    • The Pure and Applied Mathematics
    • /
    • v.17 no.1
    • /
    • pp.93-106
    • /
    • 2010
  • We employ the methods of Lattice Dynamical System to establish a global model extending the Walrasian evolutionary cobweb model in an independent single local market to the global market evolution over an infinite chain of many local markets with interaction of each other through a diffusion of prices between them. For brevity of the model, we assume linear decreasing demands and logistic supplies with naive predictors, and investigate the traveling wave behaviors of global price dynamics and show that their dynamics are conjugate to those of H$\acute{e}$non maps and hence can exhibit complicated behaviors such as period-doubling bifurcations, chaos, and homoclic orbits etc.

SPATIALLY HOMOGENEOUS GLOBAL PRICE DYNAMICS ON A CHAIN OF LOCAL MARKETS

  • Kim, Yong-In
    • The Pure and Applied Mathematics
    • /
    • v.16 no.2
    • /
    • pp.243-254
    • /
    • 2009
  • The main purpose of this paper is to use the methods of Lattice Dynamical System to establish a global model, which extends the Walrasian evolutionary cobweb model in an independent single local market to the global market evolution over an infinite chain of many local markets interacting each other through a diffusion of prices between them. For brevity of the model, we assume linear decreasing demands and quadratic supplies with naive predictors, and investigate the spatially homogeneous global price dynamics and show that the dynamics is topologically conjugate to that of well-known logistic map and hence undergoes a period-doubling bifurcation route to chaos as a parameter varies through a critical value.

  • PDF

Noise Effect in a Nonlinear System Under Harmonic Excitation (불규칙한 외부 교란이 주기적 가진을 받는 비선형계의 동적 특성에 미치는 영향)

  • 박시형;김지환
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 1997.10a
    • /
    • pp.145-153
    • /
    • 1997
  • Dynamic characteristics are investigated when a nonlinear system showing periodic and chaotic responses under harmonic excitation is exposed to random perturbation. About two well potential problem, probability of homoclinic bifurcation is estimated using stochastic generalized Meinikov process and quantitive characteristics are investigated by calculation of Lyapunov exponent. Critical excitaion is calculated by various assumptions about Gaussian Melnikov process. To verify the phenomenon graphically Fokker-Planck equation is solved numerically and the original nonlinear equation is numerically simulated. Numerical solution of Fokker-Planck equation is calculated on Poincare section and noise induced chaos is studied by solving the eigenvalue problem of discretized probability density function.

  • PDF

Does chaos in an Approximated System Imply One in the Original System\ulcorner (근사화계의 혼돈운동이 원래계의 혼돈운동을 보장하는가\ulcorner)

  • ;;Hsu, C. S.
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 1993.10a
    • /
    • pp.61-75
    • /
    • 1993
  • 이 논문의 제목에 제시한 질문에 답하기 위하여 비선형문제의 전형인 탄성 진자계를 집중적으로 조사하였다. 조화가 전력을 가진 탄성진자계는 비자율 계(원래계)로 나타나는데 다중시간법을 사용하여 이 계를 자율계(근사화계) 로 변환하여 조사하였다. 이 두 계의 해의 Lyapunov지수를 비교한 결과, 근 사화계의 해가 혼돈운동인 매개변수(가진진폭)의 값 근방에서 원래계의 해도 혼돈운동이 된다는 사실을 확인하였다. 이 결과가 애초의 질문에 일반적인 해답이 될 수는 없겠지만 약 비선형 다자유도 진동계의 혼돈운동 해석에 매우 중요한 참고자료가 될 것으로 판단된다.

  • PDF