rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Fault detection in dynamic systems using the largest Lyapunov exponent
  name:
    name part: Sun, Yifu.
    role:
      role term: creator
  name:
    name part: Parlos, Alexander G.
    role:
      role term: thesis advisor.
  type of resource: text
  genre: bibliography
  origin info:
    place:
      place term: txu
    date issued: 2012
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource.
  abstract: A complete method for calculating the largest Lyapunov exponent is developed in this thesis. For phase space reconstruction, a time delay estimator based on the average mutual information is discussed first. Then, embedding dimension is evaluated according to the False Nearest Neighbors algorithm. To obtain the parameters of all of the sub-functions and their derivatives, a multilayer feedforward neural network is applied to the time series data, after the time delay and embedding dimension are fixed. The Lyapunov exponents can be estimated using the Jacobian matrix and the QR decomposition. The possible applications of this method are then explored for various chaotic systems. Finally, the method is applied to some real world data to demonstrate the general relationship between the onset and progression of faults and changes in the largest Lyapunov exponent of a nonlinear system.
  note: by Yifu Sun.
  note: "Major Subject: Mechanical Engineering"
  note: Electronic resource.
  note: Master of Science Texas A&M University 2011 http://hdl.handle.net/1969.1/ETD-TAMU-2011-05-9371
  note: Includes bibliographical references.
  note: Text (Thesis)
  subject:
    topic: Major Mechanical Engineering
  subject:
    topic: Lyapunov exponent
  subject:
    topic: Fault detection
  subject:
    topic: Mechanical system
  subject:
    topic: Chaos
  identifier: http://hdl.handle.net/1969.1/ETD-TAMU-2011-05-9371
  record info:
    record content source: TXA
    record creation date: 121116
    record change date: 20150922143758.0
    record identifier: in00002774914