Related Experiment Video
Updated: Jul 16, 2026

Age-dependent Dynamics of Locomotion in Caenorhabditis elegans: A Lyapunov Exponent Analysis
Published on: September 23, 2025
Stochastic modeling of experimental chaotic time series
Thomas Stemler1, Johannes P Werner, Hartmut Benner
1Institute for Solid State Physics, Darmstadt University of Technology, Hochschulstrasse 6, D-64289 Darmstadt, Germany. stemler@exp1.fkp.physik.tu-darmstadt.de
Abstract:
Methods developed recently to obtain stochastic models of low-dimensional chaotic systems are tested in electronic circuit experiments. We demonstrate that reliable drift and diffusion coefficients can be obtained even when no excessive time scale separation occurs. Crisis induced intermittent motion can be described in terms of a stochastic model showing tunneling which is dominated by state space dependent diffusion. Analytical solutions of the corresponding Fokker-Planck equation are in excellent agreement with experimental data.
Related Concept Videos
Modeling with Differential Equations
Linear Approximation in Time Domain
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length, the...
Exponential Equations for Modeling Growth
Random Variables
Uppercase letters such as X or Y denote a random variable. Lowercase letters like x or y denote the value of a random variable. If X is a random variable, then X is written in words, and x is given as a number.
For example, let X = the...
Mechanistic Models: Compartment Models in Individual and Population Analysis
State Space Representation
Consider an RLC circuit, a...

