Nonlinear system synchronization to sum signals of multiple chaotic systems
Adaptation and Self-Organizing Systems
2020-08-18 v1 Applied Physics
Abstract
Coupling of chaotic oscillators has evidenced conditions where synchronization is possible, therefore a nonlinear system can be driven to a particular state through input from a similar oscillator. Here we expand this concept of control of the state of a nonlinear system by showing that it is possible to induce it to follow a \textit{linear} superposition of signals from multiple equivalent systems, using only partial information from them, through one- or more variable-signal. Moreover, we show that the larger the number of trajectories added to the input signal, the better the convergence of the system trajectory to the sum input.
Cite
@article{arxiv.2008.07507,
title = {Nonlinear system synchronization to sum signals of multiple chaotic systems},
author = {Robson Vieira and Weliton S. Martins and Sergio Barreiro and Rafael A. de Oliveira and Martine Chevrollier and Marcos Oriá},
journal= {arXiv preprint arXiv:2008.07507},
year = {2020}
}