Development of nonlinear dynamical analysis for noisy and short time series and application to bio-signals = 잡음 섞인 짧은 시계열의 비선형 동역학 분석법 개발 및 생체 신호에의 적용

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New measures, linear mode complexity(LMC) and divergence in perpendicular recurrence plot(DPRP), which can roughly reflect the main quantities such as the fractional dimension and the largest Lyapunov exponent respectively, are proposed to consider dynamical characteristics of attractor reconstructed from very short time series. These methods are tested with various time series, generated from Lorenz, Roessler and Henon systems. Also their performances are compared with other well-known methods, proper to long chaotic time series. Finally they are applied to a nonstationary simulated signal and an experimental biological signal. Their superiority over other methods requiring tens of thousands of data points in nonlinear dynamics lies in extracting the variations of the fractional dimension and the Lyapunov exponent of phase portrait from a few hundred data points, typically available for biological and other natural systems.
Advisors
Kim, Soo-Yongresearcher김수용researcher
Description
한국과학기술원 : 물리학과,
Publisher
한국과학기술원
Issue Date
2000
Identifier
157987/325007 / 000975398
Language
eng
Description

학위논문(박사) - 한국과학기술원 : 물리학과, 2000.2, [ ii, 92 p. ]

Keywords

Nonlinear; Time series; Chaos; Signal processing; 신호처리; 비선형; 시계열; 카오스

URI
http://hdl.handle.net/10203/47243
Link
http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=157987&flag=dissertation
Appears in Collection
PH-Theses_Ph.D.(박사논문)
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