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MENTAL MODEL · M6014

Double Pendulum

Double Pendulum
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Version 1.0.0 · Updated 2026-07-28

CORE DEFINITION

A double pendulum is a system formed by attaching a simple pendulum to the tail of another simple pendulum. It possesses both simple construction and complex behavior. The swinging trajectory of a high-energy double pendulum exhibits extreme sensitivity to initial conditions. Two double pendulums with very small differences in initial states behave very differently after a period of operation, making it a simple dynamical system with chaotic properties.

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A double pendulum is a system formed by attaching a simple pendulum to the tail of another simple pendulum. It possesses both simple construction and complex behavior. The swinging trajectory of a high-energy double pendulum exhibits extreme sensitivity to initial conditions. Two double pendulums with very small differences in initial states behave very differently after a period of operation, making it a simple dynamical system with chaotic properties.

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A double pendulum consists of two pendulums connected in series, and is a classic chaotic system: deterministic equations yet produce vastly different, unpredictable long-term trajectories under tiny differences in initial conditions, reflecting sensitive dependence on initial values.

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    zh.wikipedia.orghttps://zh.wikipedia.org/wiki/%E5%8F%8C%E6%91%86ZH · Explicit
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