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Duffing Equation

Dynamical Systems and Differential Equations

The Duffing equation, or Duffing oscillator, named after Georg Duffing, is a non-linear second-order differential equation used to model certain damped and driven oscillators, extending simple harmonic motion with an added cubic restoring-force term. It describes, for example, an elastic pendulum whose spring does not exactly obey Hooke's law, and it is a standard example of a dynamical system that exhibits chaotic behavior, including a frequency-hysteresis effect known as jump resonance.

Facts
Classification
Object Kind
Equation 1
Origin Year
1918 1
Connections

In Branch

Source Duffing equation (Wikipedia)

Is Kind Of Object

Equation, Concepts
Sources
1. Wikipedia: Georg Duffing
Family and career
Quote, Family and career
In 1918, he published his widely noticed work on pendulum oscillations, later known as the Duffing oscillator.
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Duffing equation (Wikipedia)
In Branch: Differential Equations, Lead paragraph
Quote, In Branch: Differential Equations, Lead paragraph
The Duffing equation (or Duffing oscillator), named after Georg Duffing (1861-1944), is a non-linear second-order differential equation used to model certain damped and driven oscillators.
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