Oscillation - Wikiparency

# Oscillation ## Microsim ### Live player <div class="microsim-player"> <iframe src="https://editor.p5js.org/sciencenibber/full/Q21EyK7NF" width="100%" height="620" frameborder="0" sandbox="allow-scripts allow-same-origin"></iframe> </div> <div class="microsim-fallback"> <img src="Microsims/thumbs/Oscillation.png" alt="Oscillation microsim poster" style="width:100%;border:1px solid #4445;border-radius:6px;"> <p><em>Live microsim (desktop) · <a href="https://editor.p5js.org/sciencenibber/sketches/Q21EyK7NF">open sketch in the p5.js editor</a></em></p> </div> **Editor URL:** https://editor.p5js.org/sciencenibber/sketches/Q21EyK7NF **Description (100 words):** Three single-degree-of-freedom oscillator archetypes integrated side-by-side under a common time step: a linear damped harmonic oscillator (`x'' + 2 zeta omega x' + omega^2 x = 0`), a real pendulum with full sine restoring (`theta'' + (g/L) sin(theta) = 0`), and a Van der Pol self-sustained oscillator (`x'' - mu (1 - x^2) x' + x = 0`). Each row pairs a time-domain scope with a phase portrait. Three sliders (`zeta`, `theta_max`, `mu`) and pause/reset buttons let the reader watch isochronism in linear motion, period growth with amplitude in the pendulum, and the limit-cycle [[Attractor|attractor]] of Van der Pol emerge from any non-trivial start. ## Links (Wikipedia order)  `Aerodynamics` · `Aircraft` · [[Alternating_current]] · `Angle_of_attack` · `Anisotropy` · `Anti-vibration_compound` · `Antiresonance` · `Armstrong_oscillator` · `Arnold_tongue` · `Asteroseismology` · `Astronomy` · `Atlantic_multidecadal_oscillation` · `BIBO_stability` · `Beat_(acoustics)` · `Belousov–Zhabotinsky_reaction` · `Blocking_oscillator` · `Bray–Liebhafsky_reaction` · `Briggs–Rauscher_reaction` · `Business_cycle` · `Butler_oscillator` · `Cepheid_variable` · `Chandler_wobble` · [[Christiaan_Huygens]] · `Circadian_rhythm` · `Clapp_oscillator` · `Classical_limit` · `Colpitts_oscillator` · `Continuum_mechanics` · [[Control_theory]] · `Critical_speed` · `Crystal_oscillator` · `Cycle_(music)` · `Degrees_of_freedom_(physics_and_chemistry)` · `Delay-line_oscillator` · `Double_pendulum` · [[Dynamical_system]] · [[Dynamics_(mechanics)]] · [[Earthquake_engineering]] · [[Ecology]] · `Economics` · `Electromagnetic_field` · `Electronic_circuit` · `Electronic_oscillator` · `Exponential_decay` · `Extended_interaction_oscillator` · [[Feedback]] · `Fluid` · [[Force]] · `Foucault_pendulum` · `Fourier_transform` · `Frequency` · `Friction` · `Function_(mathematics)` · `Generation_gap` · `Geology` · `Geyser` · `Gravity` · `Guitar` · `Harmonic_oscillator` · `Hartley_oscillator` · `Helioseismology` · `Helmholtz_resonance` · `Hooke's_law` · `Hunting_oscillation` · `Infinity` · `Injection_locking` · `Interval_(mathematics)` · `Isotropy` · `Kepler_orbit` · `Kinetic_energy` · `Laser` · [[Least-squares_spectral_analysis]] · `Lennard-Jones_potential` · `Lever_escapement` · `Local_oscillator` · `Madden–Julian_oscillation` · `Mechanical_equilibrium` · `Mercury_beating_heart` · `Momentum` · `Neural_oscillation` · `Neutral_particle_oscillation` · `Neutrino_oscillation` · `Normal_mode` · `Open_set` · `Oscillating_gene` · `Oscillation_(mathematics)` · `Oscillator_(cellular_automaton)` · `Oscillator_(disambiguation)` · `Oscillator_phase_noise` · `Oscillistor` · `Pacific_decadal_oscillation` · [[Pendulum]] · `Periodic_function` · `Phase-shift_oscillator` · `Phase_noise` · `Phugoid` · `Pierce_oscillator` · `Pilot-induced_oscillation` · `Potential_energy` · `Puberty` · `Quantum_harmonic_oscillator` · `Quantum_optics` · `Quasi-biennial_oscillation` · `Quasiperiodic_function` · `Quasiperiodicity` · `RLC_circuit` · `Real_number` · `Reciprocating_motion` · `Relaxation_oscillator` · `Resonance` · `Resonator` · `Rhythm` · `Route_flapping` · `Royer_oscillator` · `Seasonality` · `Self-oscillation` · `Self-pulsation` · [[Sequence]] · `Signal_generator` · [[Simple_harmonic_motion]] · [[Sine_wave]] · `Sliding_mode_control` · `Spring_(device)` · `Squegging` · `Stability_theory` · `Statics` · `Stiffness` · `String_instrument` · `Structural_stability` · `Swing_(seat)` · `Tension_(physics)` · `Time` · `Torsional_vibration` · `Tuned_mass_damper` · `Tuning_fork` · `Valve` · `Vibrate_(disambiguation)` · `Vibration` · `Vibrations_(disambiguation)` · `Vibrator_(mechanical)` · `Water` · [[Wave]] · [[Wayback_Machine]] · `Weight` · `Wien_bridge_oscillator` · `Wilberforce_pendulum` · `Wing` ## Media (PD/CC)  !Gif Library/Oscillation/Animated-mass-spring.gif *Animated-mass-spring.gif · Svjo · CC BY-SA 3.0 · [source](https://commons.wikimedia.org/wiki/File:Animated-mass-spring.gif)*   **Semiotic universals** (the notations and alphabet letters this article speaks — each opens its canonical card): oscillation · energy · amplitude · cycle · damping. Index: the glyph gallery · SEMIOTICS PORTAL.  > **Room:** [[Energy]] · **Status:** ✅ shipped ## Overview Oscillation is the repetitive variation of a quantity about a central value, the most universal idiom in [[Physics|physics]]: anywhere a [[System|system]] has a restoring tendency and a way to store energy, it oscillates. The mathematical skeleton is one second-order [[Ordinary_differential_equation|ordinary differential equation]] in time, x'' = f(x, x'), whose qualitative behaviour falls into three families that dominate the room. Linear oscillation, where the restoring [[Force|force]] is strictly proportional to displacement (x'' + omega^2 x = 0), produces sinusoids whose frequency is independent of amplitude: the regime of small-angle pendula, mass-spring rigs, LC circuits, and tuning forks. Nonlinear oscillation, where the restoring force bends (x'' + sin(x) = 0 for a real [[Pendulum|pendulum]], x'' + x + alpha x^3 = 0 for the Duffing oscillator), produces periodic but anharmonic motion whose period grows with amplitude and whose phase portraits curve into eyes, figure-eights, or scroll patterns. Self-sustained oscillation, where a system pumps energy into itself against dissipation (x'' - mu (1 - x^2) x' + x = 0 for Van der Pol), produces a limit cycle the trajectory falls onto from anywhere: the regime of heart pacemaker cells, tube oscillators, and the cocktail-party hum of a vibrating reed. Coupled oscillators add normal modes, beats, and synchronisation; chaotic oscillation breaks period altogether. The single-DoF picture is the universal first chapter. ## See also - Room hub: [[Energy]] - p5.js Editor conventions: P5 JS EDITOR - Wiki root: MAIN --- *Scaffolded by `generative-microsim` from row 0 of the Energy sheet on 2026-04-30T08:51:48Z.* Letters: oscillation · energy · amplitude · cycle · damping · harmonic · attractor_chaos · flow  *Built to the [[WT!P5_js_Microsim_Master_Class|p5.js Master Class]].*  ## Wikipedia : Wikitube **Strict pair:** [Wikipedia](https://en.wikipedia.org/wiki/Oscillation) : [Wikitube](https://en.wikitube.io/wiki/Oscillation) ## Previous hub tags Tree parents: [[Complex_system]] · [[Dynamical_system]] · [[Feedback]]. Legacy hubs: `GENERATIVE`. --- *Sources: 1 legacy note. Minted wave 1, 2026-07-30 (v1.6 order).*