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Journal Article

Identification of equivalent dynamics using ordinal pattern distributions

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Parlitz,  Ulrich
Research Group Biomedical Physics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Luther,  Stefan
Research Group Biomedical Physics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Citation

Parlitz, U., Suetani, H., & Luther, S. (2013). Identification of equivalent dynamics using ordinal pattern distributions. The European Physical Journal Special Topics, 222(2), 553-568. doi:10.1140/epjst/e2013-01859-2.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0029-104B-5
Abstract
The frequency of occurrence of ordinal patterns in an observed (or measured) times series can be used to identify equivalent dynamical system. We demonstrate this approach for system identification and parameter estimation for dynamics that can (at least approximately) be described by one-dimensional iterated maps.