论文标题

非线性系统同步到多个混沌系统的总和信号

Nonlinear system synchronization to sum signals of multiple chaotic systems

论文作者

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

论文摘要

混沌振荡器的耦合已经证明了同步的条件,因此可以通过类似振荡器的输入将非线性系统驱动到特定状态。在这里,我们通过表明它可以诱使它遵循来自多个同等系统的信号的叠加,从而扩展了对非线性系统状态的控制概念,仅使用它们的部分信息,即通过一种或更多可变的信号。此外,我们表明,添加到输入信号中的轨迹数越大,系统轨迹与总和输入的收敛越好。

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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