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Unstable Periodic Orbits and Stochastic Synchronization in Sensory Biology

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The Science of Disasters

Abstract

We discuss here two new methods for extracting low-dimensional dynamical objects from dynamically noisy, nonstationary datasets. The analysis and detection algorithms assess the presence or absence of such objects and return a determined statistical confidence level. The first objects we discuss are stable and unstable periodic orbits and bifurcations between these states. Second, the statistical process of synchronization between stable orbits in the presence of noise is demonstrated. Several examples based on experimental data from sensory biology and one example from the rat brain hypothalamus are presented.

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Authors
  1. Frank E. Moss
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  2. Hans A. Braun
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Moss, F.E., Braun, H.A. (2002). Unstable Periodic Orbits and Stochastic Synchronization in Sensory Biology. In: The Science of Disasters. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56257-0_10

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  • DOI: https://doi.org/10.1007/978-3-642-56257-0_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-62531-2

  • Online ISBN: 978-3-642-56257-0

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