van der Pol oscillator

GPTKB entity

Statements (25)
Predicate Object
gptkbp:instanceOf dynamical system
nonlinear oscillator
gptkbp:application electrical circuits
heartbeats
biological rhythms
gptkbp:category gptkb:logic
engineering
physics
gptkbp:describedBy second-order differential equation
gptkbp:feature limit cycle
self-sustained oscillations
gptkbp:firstDescribed 1920s
gptkbp:hasEquation d^2x/dt^2 - μ(1-x^2)dx/dt + x = 0
https://www.w3.org/2000/01/rdf-schema#label van der Pol oscillator
gptkbp:namedAfter gptkb:Balthasar_van_der_Pol
gptkbp:parameter μ (mu)
gptkbp:relatedTo gptkb:FitzHugh–Nagumo_model
relaxation oscillator
gptkbp:solvedBy analytical solution for μ=0
numerical solution for μ≠0
gptkbp:studiedIn chaos theory
nonlinear dynamics
gptkbp:bfsParent gptkb:FitzHugh-Nagumo_model
gptkb:Jacobus_van_der_Pol
gptkbp:bfsLayer 7