Control Strategy for Generalized Synchrony in Coupled Dynamical Systems
Abstract
Dynamical systems can be coupled in a manner that is designed to drive the resulting dynamics onto a specified lower dimensional submanifold in the phase space of the combined system. On the submanifold, the variables of the two systems have a well-specified functional relationship. This process can be viewed as a control technique that ensures generalized synchronization. Depending on the nature of the dynamical systems and the specified submanifold, different coupling functions can be derived in order to achieve a desired control objective. We discuss a circuit implementation of this strategy for coupled chaotic Lorenz oscillators, as well as a demonstration of the methodology for designing coordinated motion (swarming) in a set of autonomous drones.
Cite
@article{arxiv.2502.01219,
title = {Control Strategy for Generalized Synchrony in Coupled Dynamical Systems},
author = {Vishal Juneja and Suresh Kumarasamy and Aryan Patel and Amrita Punnavajhala and Ram Ramaswamy},
journal= {arXiv preprint arXiv:2502.01219},
year = {2025}
}
Comments
24 pages, 24 figures (including subfigures)