# Nonlinear & Shocks Intro

Canonical: https://manyspace.aporia.systems/topics/nonlinear-shocks-intro-phy-waves-034
Updated: 2026-10-13

Physics · Oscillations & Waves · PHY-WAVES-034

- Difficulty: 2 / 5
- Importance: 4 / 5
- Study time: 2.5–5 h

amplitude effects, solitons preview

## Why it matters

One physical theme — oscillation and wave propagation — recurs in mechanics, EM, quantum mechanics and optics.

## Where it is used

Sound engineering, music, seismology, AC power, communications, MEMS oscillators, structural vibrations.

## How you know you have learned it

Solve ≥10 representative problems with ≥80% adjusted accuracy.

## What you need first

- [Position, Displacement & Velocity](https://manyspace.aporia.systems/topics/position-displacement-velocity-phy-mech1-010) (required)
- [Basic Ratios](https://manyspace.aporia.systems/topics/basic-ratios-mth-trig-064) (helpful)
- [Intuitive Limits](https://manyspace.aporia.systems/topics/intuitive-limits-mth-calc1-123) (helpful)

## Resources

- University Physics (Young & Freedman) — Young & Freedman
- Vibrations and Waves — A. P. French
- Vibrations and Waves — A. P. French