关于动力系统的振荡可能性
About the oscillatory possibilities of the dynamical systems
AI总结：
本文针对一类物理器件复杂振荡行为无主流解释的问题，提出振荡模式混合非线性机制，构建具扩张可扩展性的通用动力学图景，建立涵盖确定性世界结构转变演化的理论框架。
摘要：
本文尝试在一个行为与数学动力系统行为相关的、假定为确定性的世界中，实现新颖性的演化涌现。这项工作的动机是观察到一类物理器件中存在复杂振荡行为，而主流非线性动力学领域对此尚无已知解释。本文首先描述了一种可解释此类行为的振荡模式混合非线性机制，并构建了一种具备非凡振荡可能性（包括扩张式增长的可扩展性）的通用动力学图景。文中讨论了该图景与湍流流体及活体大脑振荡行为的关联。最后，通过将该图景视为假定确定性世界中复杂性运作与起源通用方面的动态基底，本文建立了一个涵盖该世界时间演化中结构转变演化发展的理论框架。
英文摘要：
This paper attempts to make feasible the evolutionary emergence of novelty in a supposedly deterministic world which behavior is associated with those of the mathematical dynamical systems. The work was motivated by the observation of complex oscillatory behaviors in a family of physical devices, for which there is no known explanation in the mainstream of nonlinear dynamics. The paper begins by describing a nonlinear mechanism of oscillatory mode mixing explaining such behaviors and establishes a generic dynamical scenario with extraordinary oscillatory possibilities, including expansive growing scalability. The relation of the scenario to the oscillatory behaviors of turbulent fluids and living brains is discussed. Finally, by considering the scenario as a dynamic substrate underlying generic aspects of both the functioning and the genesis of complexity in a supposedly deterministic world, a theoretical framework covering the evolutionary development of structural transformations in the time evolution of that world is built up.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
