Abstract

Parallel to the rapid development of nonlinear dynamics, there has been a tremendous amount of effort devoted to data analysis. Suppose an experiment is conducted and some time series are measured. Such a time series can be, for instance, a voltage signal from a physical or a biological experiment, or the concentration of a substance in a chemical reaction, or the amount of instantaneous traffic at a point in the Internet, and so on. The general question is this: what can we say about the underlying dynamical system that generates the time series if the equations governing the time evolution of the system are unknown and the only available information about the system is a set of measured time series?.

Original languageEnglish (US)
Title of host publicationApplied Mathematical Sciences (Switzerland)
PublisherSpringer
Pages413-434
Number of pages22
DOIs
StatePublished - Jan 1 2011

Publication series

NameApplied Mathematical Sciences (Switzerland)
Volume173
ISSN (Print)0066-5452
ISSN (Electronic)2196-968X

Keywords

  • Chaotic Attractor
  • Lyapunov Exponent
  • Periodic Orbit
  • Positive Lyapunov Exponent
  • Topological Entropy

ASJC Scopus subject areas

  • Applied Mathematics

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  • Cite this

    Lai, Y. C., & Tél, T. (2011). Transient Chaotic Time-Series Analysis. In Applied Mathematical Sciences (Switzerland) (pp. 413-434). (Applied Mathematical Sciences (Switzerland); Vol. 173). Springer. https://doi.org/10.1007/978-1-4419-6987-3_12