Related Experiment Video
Updated: Jul 19, 2026

Age-dependent Dynamics of Locomotion in Caenorhabditis elegans: A Lyapunov Exponent Analysis
Published on: September 23, 2025
Reconstruction of complex dynamical systems affected by strong measurement noise
Frank Böttcher1, Joachim Peinke, David Kleinhans
1Institute of Physics, University of Oldenburg, D-26111 Oldenburg, Germany. frank.boettcher@uni-oldenburg.de
Abstract:
This Letter reports on a new approach to properly analyze time series of dynamical systems which are spoilt by the simultaneous presence of dynamical noise and measurement noise. It is shown that even strong external measurement noise as well as dynamical noise which is an intrinsic part of the dynamical process can be quantified correctly, solely on the basis of measured time series and proper data analysis. Finally, real world data sets are presented pointing out the relevance of the new approach.
Related Concept Videos
Reconstruction of Signal using Interpolation
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...
BIBO stability of continuous and discrete -time systems
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system.
Linear time-invariant Systems
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be calculated...
Modeling with Differential Equations
State Space Representation
Consider an RLC circuit, a...

