Related Experiment Video
Updated: Jan 12, 2026

Age-dependent Dynamics of Locomotion in Caenorhabditis elegans: A Lyapunov Exponent Analysis
Published on: September 23, 2025
Subordination approach to Lyapunov exponents in random systems with memory
1Solid State Institute, Technion, Haifa 32000, Israel.
Abstract:
A Langevin equation with a colored, power-law correlated noise is studied, and a standard subordination approach for this non-Markovian and non-Gaussian random process is developed. The exponential growth of the second moments of the eigenfunctions and their derivative according to the positive Lyapunov exponents is obtained. The result is also related to Anderson localization in a random potential with memory. Therefore, the obtained values describe the asymptotic behavior of localized wave functions and determine the corresponding localization length.
Related Concept Videos
Linear Approximation in Frequency Domain
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
Classification of Systems-I
Homogeneity dictates that if an input x(t) is multiplied by a constant c, the output y(t) is multiplied by the same constant. Mathematically, this is expressed as:
Second Order systems II
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
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,...
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...

