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Updated: Aug 29, 2026

Age-dependent Dynamics of Locomotion in Caenorhabditis elegans: A Lyapunov Exponent Analysis
Published on: September 23, 2025
Unstable periodic orbits and discretization cycles
P-M Binder1, Nicholas H Okamoto
1Department of Physics and Astronomy, University of Hawaii, Hilo, Hawaii 96720-4091, USA. pbinder@hawaii.edu
Abstract:
Limit cycles that arise from discretizing the variable(s) of a nonlinear map are generally found to shadow individual unstable periodic orbits (UPOs) of the corresponding continuous map. In a few cases the discretization cycles can only be explained with other mechanisms, such as the near-occurrence of an UPO, or crossover between two or more UPOs.
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