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arXiv · 2008.07507

Nonlinear system synchronization to sum signals of multiple chaotic systems

Robson Vieira·Weliton S. Martins·Sergio Barreiro·Rafael A. de Oliveira·Martine Chevrollier·Marcos Oriá
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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.

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Robson Vieira, Weliton S. Martins, Sergio Barreiro, Rafael A. de Oliveira, Martine Chevrollier, Marcos Oriá. 2020-08-11. Nonlinear system synchronization to sum signals of multiple chaotic systems. https://arxiv.org/abs/2008.07507

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