V2EX dynamical system

Dynamical System

定义 Definition

dynamical system 指“动力系统/动态系统”:用数学方式描述一个系统的状态如何随时间演化的模型,通常由微分方程差分方程给出。常用于物理、生物、经济、工程与控制等领域。(也常写作 dynamic system,但学术语境里 dynamical system 更常见。)

发音 Pronunciation (IPA)

/danmkl sstm/

例句 Examples

A pendulum is a simple dynamical system.
摆是一个简单的动力系统。

In a nonlinear dynamical system, tiny changes in initial conditions can lead to very different outcomes.
在非线性动力系统中,初始条件的微小变化可能导致截然不同的结果。

词源 Etymology

Dynamical 来自 dynamic(“动力的、动态的”),其根源可追溯到希腊语 dynamis(“力量、能力”);system 来自希腊语 systēma(“组合在一起的整体”)。合起来强调:把“随时间变化的状态”当作一个整体来研究其演化规律。

相关词 Related Words

文学与名著中的用例 Literary Works

  • Nonlinear Dynamics and Chaos(Steven H. Strogatz,《非线性动力学与混沌》)
  • Differential Equations, Dynamical Systems, and an Introduction to Chaos(Morris W. Hirsch, Stephen Smale, Robert L. Devaney,《微分方程、动力系统与混沌导论》)
  • “Deterministic Nonperiodic Flow” (Edward N. Lorenz)(《确定性的非周期流》:经典论文,讨论动力系统与混沌)
  • Chaos: Making a New Science(James Gleick,《混沌:开创新科学》)
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