#oscillations

Topics tagged "oscillations".

• Oscillations

  How systems swing, settle, and sustain rhythm — from a single bob on a spring to whole populations of synchronizing oscillators.

• Simple Harmonic Oscillator

  A mass pulled back by a force proportional to its displacement — the linear ideal whose sinusoidal motion underlies every other oscillator.

• Pendulum

  A swinging bob that looks like a simple harmonic oscillator only when it barely moves — and reveals its nonlinear soul at large angles.

• Damped Oscillator

  Add friction to a harmonic oscillator and its energy bleeds away — gently ringing down, just barely settling, or sluggishly creeping home.

• Driven Oscillator

  Push a damped oscillator with a periodic force and, after the transients fade, it forgets its own rhythm and dances to yours.

• Resonance

  Drive an oscillator near its natural frequency and the response explodes — the principle behind tuning radios, shattering glass, and toppling bridges.

• Limit Cycle

  An isolated closed orbit that a nonlinear system generates and maintains entirely on its own — the mathematics of self-sustained rhythm.

• Coupled Oscillators

  Connect two oscillators and they stop acting alone — exchanging energy through beats, splitting into normal modes, and ultimately synchronizing.

• Predator–Prey Dynamics

  Two coupled species — foxes and rabbits — whose populations rise and fall in eternal pursuit, tracing closed orbits in the phase plane.