Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
nonlinear dynamical system
|
| gptkbp:application |
mechanical engineering
vibration analysis electrical circuits |
| gptkbp:describes |
forced oscillator with nonlinear stiffness
|
| gptkbp:exhibits |
hysteresis
chaotic behavior bifurcation period doubling |
| gptkbp:firstDescribed |
1918
|
| gptkbp:hasEquation |
d²x/dt² + δ dx/dt + αx + βx³ = γ cos(ωt)
|
| https://www.w3.org/2000/01/rdf-schema#label |
Duffing oscillator
|
| gptkbp:namedAfter |
gptkb:Georg_Duffing
|
| gptkbp:parameter |
α (linear stiffness)
β (nonlinear stiffness) γ (amplitude of driving force) δ (damping coefficient) ω (angular frequency of driving force) |
| gptkbp:relatedTo |
gptkb:Lorenz_system
gptkb:Van_der_Pol_oscillator |
| gptkbp:solvedBy |
gptkb:perturbation_theory
numerical integration harmonic balance method |
| gptkbp:studiedIn |
chaos theory
nonlinear dynamics |
| gptkbp:bfsParent |
gptkb:Nonlinear_Dynamics
gptkb:Van_der_Pol_oscillator |
| gptkbp:bfsLayer |
7
|