Nonlinear system synchronization to sum signals of multiple chaotic systems

TL;DR

This paper demonstrates that nonlinear systems can be controlled to follow a linear combination of multiple chaotic system signals using partial information, with improved accuracy as more signals are combined.

Contribution

It introduces a novel method for controlling nonlinear systems to follow sum signals from multiple chaotic systems using partial information and variable signals.

Findings

System trajectory converges better with more input signals

Control achieved with partial information from multiple systems

Method extends synchronization concepts to sum signals

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.