Title:
【発明の名称】力学系アナライザ
Document Type and Number:
Japanese Patent JP3040471
Kind Code:
B2
Abstract:
PCT No. PCT/GB92/00374 Sec. 371 Date Oct. 7, 1993 Sec. 102(e) Date Oct. 7, 1993 PCT Filed Mar. 30, 1992 PCT Pub. No. WO92/16897 PCT Pub. Date Oct. 1, 1992.A dynamical system analyser (10) incorporates a computer (22) to perform a singular value decomposition of a time series of signals from a nonlinear (possibly chaotic) dynamical system (14). Relatively low-noise singular vectors from the decomposition are loaded into a finite impulse response filter (34). The time series is formed into Takens' vectors each of which is projected onto each of the singular vectors by the filter (34). Each Takens' vector thereby provides the co-ordinates of a respective point on a trajectory of the system (14) in a phase space. A heuristic processor (44) is used to transform delayed co-ordinates by QR decomposition and least squares fitting so that they are fitted to non-delayed co-ordinates. The heuristic processor (44) generates a mathematical model to implement this transformation, which predicts future system states on the basis of respective current states. A trial system is employed to generate like co-ordinates for transforation in the heuristic processor (44). This produces estimates of the trial system's future states predicted from the comparison system's model. Alternatively, divergences between such estimates and actual behavior may be obtained. As a further alternative, mathematical models derived by the analyser (10) from different dynamical systems may be compared.
Inventors:
Bloomhead, David Sydney
Robin Jones
Matthew Jeonson
Robin Jones
Matthew Jeonson
Application Number:
JP50555492A
Publication Date:
May 15, 2000
Filing Date:
March 03, 1992
Export Citation:
Assignee:
Great Britain
International Classes:
G01H17/00; G01M13/04; G01M15/04; G01M99/00; G06F17/00; G06F17/50; G06F19/00; G06N20/00; H03H21/00; H04B3/04; (IPC1-7): G01M19/00; G01M13/04; G06F17/00; G06F17/50
Attorney, Agent or Firm:
Yoshio Kawaguchi (2 outside)