Ideal formal chemical reaction network is an effective programming language to design complex system dynamical behavior. In this article, a coupled hyper-chaotic Lorenz system can be described by the ordinary differential equations of an ideal formal reaction network, which is constructed by catalysis, annihilation and adjust reaction modules, where the variables of system are represented by the difference in concentration of two chemical species. The ideal formal reaction network can be implemented by DNA strand displacement reaction network. Through Lyapunov exponent, we have analyzed hyper-chaotic dynamical behavior of coupled Lorenz system. In discussion and analysis, we have analyzed effect of noise, reaction rate control error and concentration detection error to DNA strand displacement reaction network.

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基于DNA链位移反应网络的耦合超混沌洛伦兹系统的编制

理想形式的化学反应网络是设计复杂系统动力学行为的有效编程语言。在本文中，耦合超混沌洛伦兹系统可以用理想形式反应网络的常微分方程来描述，该网络由催化、湮灭和调整反应模块构建，其中系统变量由浓度差异表示两种化学物质。理想的形式反应网络可以通过DNA链置换反应网络来实现。通过李雅普诺夫指数，我们分析了耦合洛伦兹系统的超混沌动力学行为。在讨论和分析中，我们分析了噪声、反应速率控制误差和浓度检测误差对DNA链置换反应网络的影响。