Abstract

We propose a model of a ring circuit of \(m\) generators that is a relay analog of a circuit of Mackey–Glass generators. In this model, each of the generators is described by the limit Mackey–Glass equation. For this relay system, we prove the existence of a periodic solution of discrete traveling wave type, i.e., a solution all of whose \(m\) components (describing the \(m\) generators ) are represented by the same periodic function phase-shifted with respect to one another.

中文翻译：

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具有两个延迟的 Mackey-Glass 方程中继系统中的离散行波

摘要

我们提出了一个\(m\)发电机的环形电路模型，它是 Mackey-Glass 发电机电路的继电器模拟。在该模型中，每个发生器都由极限 Mackey-Glass 方程描述。对于这个中继系统，我们证明了离散行波型周期解的存在，即所有\(m\) 个分量（描述\(m\)发生器）都由相同的周期函数相位表示的解- 相互转移。