van der Pol equation

GPTKB entity

Statements (25)
Predicate Object
gptkbp:instanceOf partial differential equations
gptkbp:application neural oscillations
radio circuits
heartbeats
gptkbp:category nonlinear dynamics
ordinary differential equations
gptkbp:describes self-sustaining oscillations
gptkbp:field gptkb:mathematics
engineering
physics
gptkbp:firstPublished 1920s
gptkbp:form d^2x/dt^2 - μ(1-x^2)dx/dt + x = 0
https://www.w3.org/2000/01/rdf-schema#label van der Pol equation
gptkbp:namedAfter gptkb:Balthasar_van_der_Pol
gptkbp:parameter μ (mu)
gptkbp:relatedTo gptkb:Liénard_equation
relaxation oscillator
gptkbp:solvedBy limit cycle
gptkbp:type second-order differential equation
nonlinear differential equation
gptkbp:usedIn biology
control theory
electrical circuits
gptkbp:bfsParent gptkb:Ordinary_Differential_Equations
gptkbp:bfsLayer 6