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- Duffing_equation abstract "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. The equation is given bywhere the (unknown) function x=x(t) is the displacement at time t, is the first derivative of x with respect to time, i.e. velocity, and is the second time-derivative of x, i.e. acceleration. The numbers , , , and are given constants.The equation describes the motion of a damped oscillator with a more complicated potential than in simple harmonic motion (which corresponds to the case β=δ=0); in physical terms, it models, for example, a spring pendulum whose spring's stiffness does not exactly obey Hooke's law.The Duffing equation is an example of a dynamical system that exhibits chaotic behavior.Moreover the Duffing system presents in the frequency response the jump resonance phenomenon that is a sort of frequency hysteresis behaviour.".
- Duffing_equation thumbnail Forced_Duffing_equation_Poincaré_section.png?width=300.
- Duffing_equation wikiPageExternalLink DuffingDifferentialEquation.html.
- Duffing_equation wikiPageExternalLink Duffing_oscillator.
- Duffing_equation wikiPageID "2987943".
- Duffing_equation wikiPageRevisionID "600440034".
- Duffing_equation hasPhotoCollection Duffing_equation.
- Duffing_equation subject Category:Ordinary_differential_equations.
- Duffing_equation type Abstraction100002137.
- Duffing_equation type Communication100033020.
- Duffing_equation type DifferentialEquation106670521.
- Duffing_equation type Equation106669864.
- Duffing_equation type MathematicalStatement106732169.
- Duffing_equation type Message106598915.
- Duffing_equation type OrdinaryDifferentialEquations.
- Duffing_equation type Statement106722453.
- Duffing_equation comment "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. The equation is given bywhere the (unknown) function x=x(t) is the displacement at time t, is the first derivative of x with respect to time, i.e. velocity, and is the second time-derivative of x, i.e. acceleration.".
- Duffing_equation label "Duffing equation".
- Duffing_equation label "Duffing-Oszillator".
- Duffing_equation label "Equação de Duffing".
- Duffing_equation label "Осциллятор Дуффинга".
- Duffing_equation label "杜芬振子".
- Duffing_equation sameAs Duffing-Oszillator.
- Duffing_equation sameAs Equação_de_Duffing.
- Duffing_equation sameAs m.08h_4q.
- Duffing_equation sameAs Q675387.
- Duffing_equation sameAs Q675387.
- Duffing_equation sameAs Duffing_equation.
- Duffing_equation wasDerivedFrom Duffing_equation?oldid=600440034.
- Duffing_equation depiction Forced_Duffing_equation_Poincaré_section.png.
- Duffing_equation isPrimaryTopicOf Duffing_equation.
