Van der Pol Oscillator
Version 1.0.0 · Updated 2026-07-28
CORE DEFINITION
The Van der Pol oscillator is a limit cycle oscillation phenomenon in vacuum tube amplifiers discovered by Dutch physicist Balthasar van der Pol in 1927. The limit cycle oscillation can be described by the following nonlinear differential equation: d²x/dt² - α(1 - x²)dx/dt + x = 0.
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The Van der Pol oscillator is a limit cycle oscillation phenomenon in vacuum tube amplifiers discovered by Dutch physicist Balthasar van der Pol in 1927. The limit cycle oscillation can be described by the following nonlinear differential equation: d²x/dt² - α(1 - x²)dx/dt + x = 0.
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The Van der Pol oscillator is a self-excited oscillation system with nonlinear damping: when the amplitude is small, damping is negative (energy is added, amplitude increases); when the amplitude is large, damping is positive (energy is dissipated, amplitude decreases), eventually converging to a stable limit cycle. Its mechanism is energy self-regulation, enabling the system to maintain a fixed rhythm without decay.
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- zh.wikipedia.orghttps://zh.wikipedia.org/wiki/%E8%8C%83%E5%BE%B7%E6%B3%A2%E5%B0%94%E6%8C%AF%E8%8D%A1%E5%99%A8verified
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