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gptkbp:instanceOf
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nonlinear system
partial differential equations
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gptkbp:application
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gptkb:signal_processing
mechanical engineering
vibration analysis
electrical circuits
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gptkbp:describes
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nonlinear oscillators
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gptkbp:exhibits
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chaotic behavior
period doubling
bifurcations
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gptkbp:field
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gptkb:mathematics
physics
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gptkbp:firstDescribed
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1918
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gptkbp:form
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d²x/dt² + δ dx/dt + αx + βx³ = γ cos(ωt)
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https://www.w3.org/2000/01/rdf-schema#label
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Duffing equation
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gptkbp:namedAfter
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gptkb:Georg_Duffing
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gptkbp:parameter
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α (linear stiffness)
β (nonlinear stiffness)
γ (amplitude of driving force)
δ (damping coefficient)
ω (angular frequency of driving force)
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gptkbp:publishedIn
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gptkb:Georg_Duffing's_book_'Erzwungene_Schwingungen_bei_veränderlicher_Eigenfrequenz_und_ihre_technische_Bedeutung'
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gptkbp:relatedTo
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gptkb:Lorenz_system
gptkb:Van_der_Pol_oscillator
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gptkbp:solvedBy
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analytical solutions (rare)
numerical solutions
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gptkbp:studiedIn
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chaos theory
nonlinear dynamics
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gptkbp:bfsParent
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gptkb:Ordinary_Differential_Equations
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gptkbp:bfsLayer
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6
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