A model for dynamical systems with strange attractors
Chaotic Dynamics
2025-02-26 v1
Abstract
We derive a system with one degree of freedom that models a class of dynamical systems with strange attractors in three dimensions. This system retains all the characteristics of chaotic attractors and is expressed by a second-order integro-differential equation which mimics a spring-like problem. We determine the potential energy, the rate of change of the kinetic energy of this system, and show that is self-oscillating.
Keywords
Cite
@article{arxiv.2502.17754,
title = {A model for dynamical systems with strange attractors},
author = {Nicola Romanazzi},
journal= {arXiv preprint arXiv:2502.17754},
year = {2025}
}