Chaos and Catastrophes
Chaos and Catastrophes / E.C. Zeeman
Research Conference in Dynamics #1, Boston University, June 30 - July 3, 1991

Classification theorem: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23
Germs / Jets / Determinacy / Nakayama's lemma (Nakayama-Azumaya-Krull) / Unfoldings
/ Splitting lemma / Classification / Transversality / Codimension / Localisation / Density

Std. forms for the 7 elem. catastrophes of codim  <= 4

Example sheets (with solutions): 1. Cusp / 2. Swallowtail / 3. Hypebolic umbilic / 4. Elliptic umbilic
/ 5. Butterfly / 6. Evolutes & buoyancy / 7. Germs, determinacy & codimension

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