Ten interactive lessons · 0/10 completed

Phase Evolution

A calm interactive course on how simple phase relationships produce complex behaviour — from a single rotating cycle to networks that beat as one, waves that travel, systems that resonate, and phases that carry information.

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Curriculum

Foundations

Start here — the vocabulary the rest of the course relies on.

LESSON 01

Available

~8 min

What Is Phase?

A single number that says where a rhythm is in its cycle.

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LESSON 02

Available

~10 min

Coupled Systems

Two connected oscillators — small links, surprisingly rich behaviour.

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LESSON 03

Available

~12 min

Synchronisation & Coherence

Many systems organising into collective behaviour without a controller.

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Curriculum

Dynamics

How phase behaves over time: propagation, thresholds, interference and resonance.

LESSON 04

Available

~10 min

Phase Waves

A disturbance travelling through a connected chain of systems.

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LESSON 05

Available

~12 min

Critical Transitions

Gradual change crossing a threshold into a new stable arrangement.

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LESSON 06

Available

~10 min

Interference

When two waves meet, their relative phase determines the result.

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LESSON 07

Available

~10 min

Resonance

A system responds most strongly when driven near its natural rhythm.

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Curriculum

Advanced concepts

Structure, memory and information carried by phase.

LESSON 08

Available

~12 min

Phase Defects & Boundaries

Local order coexisting with a global mismatch.

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LESSON 09

Available

~12 min

Competing Stable States

The same rules producing different stable outcomes.

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LESSON 10

Available

~14 min

Information in Phase

Encoding and transmitting information as relative phase.

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