Nonlinear Dynamics
Van der Pol Oscillator
A self-sustaining oscillator with a limit cycle.
ẍ − μ(1−x²)ẋ + x = 0
What it means
The Van der Pol equation models nonlinear damping that pumps energy at low amplitude and dissipates it at high amplitude, settling onto a stable limit cycle.
Variables
| x | state |
| μ | nonlinearity strength |
Upgrade your workspace
Full Multi-Physics Bundle — $49
Every domain node pack plus a large compute allotment.
Related products
arXiv / PubMed Literature Digest
$8A cited digest of recent literature on your topic.
Reports & IntelligenceView →
Creator / Educator
$19/moShare classrooms, publish embeds, and teach with PolySim.
Consumer PlansView →
Featured Partner Placement
$99/moFeatured placement for hardware/cloud partners on guides.
Advertising & SponsorshipView →
High-Res Mesh Credit
$4Unlock a fine-mesh solve for higher spatial accuracy on one run.
Compute & CreditsView →
Parameter Sweep (50 runs)
$12Run up to fifty parameter variations and compare results.
Premium ToolsView →
FEA / Structural Pro Pack
$39Structural, thermal, and modal finite-element analysis toolset.
Bundles & KitsView →
▶ Run it, don't just read it