• 제목/요약/키워드: dynamical systems

검색결과 444건 처리시간 0.027초

FINITENESS OF COMMUTABLE MAPS OF BOUNDED DEGREE

  • Lee, Chong Gyu;Ye, Hexi
    • 대한수학회보
    • /
    • 제52권1호
    • /
    • pp.45-56
    • /
    • 2015
  • In this paper, we study the relation between two dynamical systems (V, f) and (V, g) with $f{\circ}g=g{\circ}f$. As an application, we show that an endomorphism (respectively a polynomial map with Zariski dense, of bounded Preper(f)) has only finitely many endomorphisms (respectively polynomial maps) of bounded degree which are commutable with f.

카오스-심전도 분석기의 설계 및 응용에 관한 연구 (A Study on Design of a Chaos-ECG Analyzer and Its Applications)

  • 이병채;이명호
    • 대한의용생체공학회:의공학회지
    • /
    • 제14권4호
    • /
    • pp.379-386
    • /
    • 1993
  • This paper describes design of a Chaos analyser and its applications to analysis of nonlinear characteristirs of ECG. The proposed system can easily distinguish chaotic system among the various dynamical systems by chaotic quantitative and qualitative analysis and also chaotic characteristics which represents states of nonlinear dynamical system. And we have also proposed new possibilities to recognize abnormal state of ECG signal using the chaotic characteristics.

  • PDF

On Doubly Stochastically Perturbed Dynamical Systems

  • Oesook Lee
    • Communications for Statistical Applications and Methods
    • /
    • 제6권1호
    • /
    • pp.267-274
    • /
    • 1999
  • We consider a doubly stochastically perturbed dynamical system {$X_n$} generated by $X_n\Gamma_n(X_{n-1})+W_n where \Gamma_n$ is a Markov chain of random functions and $W_n$ is i.i.d. random elements. Sufficient conditions for stationarity and geometric ergodicity of $X_n$ are obtained by considering asymptotic behaviours of the associated Markov chain. Ergodic theorem and functional central limit theorem are proved.

  • PDF

단일 모-드 광섬유 스트레인 게이지 (Single-mode optical fiber strain gauge)

  • 이기완;김병교
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 1991년도 한국자동제어학술회의논문집(국내학술편); KOEX, Seoul; 22-24 Oct. 1991
    • /
    • pp.1198-1203
    • /
    • 1991
  • A single w& optical fiber strain gauge subjected to the excited PZT-plate is presented which was obtained using a Mach-Zehnder interferometer. This paper has been performed the considerations to the experimental situation In which the dynamical behavior of a optical fiber strain gauge is illustrated. A comparison is reported between the dynamic response of a optical fiber strain gauge and the semiconductor strain gauge in the frequency range 5-50Hz. This result is shown in very good usage as the dynamical measurement of the low strain below l.mu..epsilon. by this system.

  • PDF

A tracking controller using multi-layered neural networks

  • Bae, Byeong-Woo;Jeon, Gi-Joon;Kim, Kyung-Youn
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 제어로봇시스템학회 1992년도 한국자동제어학술회의논문집(국제학술편); KOEX, Seoul; 19-21 Oct. 1992
    • /
    • pp.56-60
    • /
    • 1992
  • This paper addresses the problem of designing a neural network based controller for a discrete-time nonlinear dynamical system. Using two multi-layered neural networks we first design an indirect controller the weights of which are updated by the informations obtained from system identification. The weight update is executed by parameter optimization method under Lagrangian formulation. For the nonlinear dynamical system, we define several cost functions and by computer simulations analyze the control performances of them and the effects of penalty-weighting values.

  • PDF

HEIGHT INEQUALITY FOR RATIONAL MAPS AND BOUNDS FOR PREPERIODIC POINTS

  • Lee, Chong Gyu
    • 대한수학회보
    • /
    • 제55권5호
    • /
    • pp.1317-1332
    • /
    • 2018
  • In this paper, we introduce the D-ratio of a rational map $f:{\mathbb{P}}^n{\dashrightarrow}{\mathbb{P}}^n$, defined over ${\bar{\mathbb{Q}}}$, whose indeterminacy locus is contained in a hyperplane H on ${\mathbb{P}}^n$. The D-ratio r(f; ${\bar{V}}$) characterizes endomorphisms and provides a useful height inequality on ${\mathbb{P}}^n({\bar{\mathbb{Q}}}){\backslash}H$. We also provide a dynamical application: preperiodic points of dynamical systems of small D-ratio are of bounded height.

다채널 뇌파 분류를 위한 주성분 분석 기반 선형동적시스템 (PCA-based Linear Dynamical Systems for Multichannel EEG Classification)

  • Lee, Hyekyoung;Park, Seungjin
    • 한국정보과학회:학술대회논문집
    • /
    • 한국정보과학회 2002년도 가을 학술발표논문집 Vol.29 No.2 (2)
    • /
    • pp.232-234
    • /
    • 2002
  • EEG-based brain computer interface (BCI) provides a new communication channel between human brain and computer. The classification of EEG data is an important task in EEG-based BCI. In this paper we present methods which jointly employ principal component analysis (PCA) and linear dynamical system (LDS) modeling for the task of EEG classification. Experimental study for the classification of EEG data during imagination of a left or right hand movement confirms the validity of our proposed methods.

  • PDF