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Time-Series Analysis

  • Daniel Kaplan
  • Leon Glass
Part of the Texts in Applied Mathematics book series (volume 19)

Abstract

Up until now we have examined mathematical descriptions of dynamical systems and seen how different types of behavior can be generated, such as fixed points, limit cycles, and chaos. The goal of applied dynamics is to relate these mathematical systems to physical or biological systems of interest. The approach we have taken so far is model building—we use our understanding of the physical system to write dynamical equations. For example, we used our understanding of the interaction of predators and prey to motivate the Lotka-Volterra equations. These equations then suggested the types of dynamics we were likely to observe in the field, such as population oscillations around a fixed point, or extinction.

Keywords

Time Series Autocorrelation Function Surrogate Data Original Time Series Recurrence Plot 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • Daniel Kaplan
    • 1
  • Leon Glass
    • 1
  1. 1.Department of PhysiologyMcGill UniversityMontréalCanada

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