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Year 0·Month 6·Week 4

Day 166: Introduction to Chaos — When Determinism Meets Unpredictability

Day 166 of 2,016~18 min read

Learning Objectives

•Define chaos precisely: deterministic yet unpredictable, sensitive to initial conditions
•Calculate and interpret Lyapunov exponents as measures of chaos
•Analyze the Chirikov standard map and the transition from integrability to chaos
•State the KAM theorem and explain what survives perturbations
•Use Poincaré sections to visualize and distinguish regular from chaotic motion
•Connect classical chaos to quantum chaos signatures

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