Random Time Dynamical Systems
Dynamical Systems
2021-08-21 v1 Analysis of PDEs
Probability
Abstract
In this paper, we introduce the concept of random time changes in dynamical systems. The sub- ordination principle may be applied to study the long time behavior of the random time systems. We show, under certain assumptions on the class of random time, that the subordinated system exhibits a slower time decay which is determined by the random time characteristics. Along the path asymp- totic, a random time change is reflected in the new velocity of the resulting dynamics.
Cite
@article{arxiv.2108.05261,
title = {Random Time Dynamical Systems},
author = {R. Capuani and L. Di Persio and Y. Kondratiev and M. Ricciardi and J. L. da Silva},
journal= {arXiv preprint arXiv:2108.05261},
year = {2021}
}
Comments
arXiv admin note: text overlap with arXiv:2012.15201