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Diff — Chaos theory

Revision #2532 → #3173 · back to history

modifiedLyapunov timedcc410097db0
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noteGrep for 'Lyapunov' returned no dynamical-systems results in Mathlib.Grep across Mathlib for 'Lyapunov' returned no dynamical-systems results.
modifiedTopological transitivity14cb800b5cd1
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noteMathlib defines topological transitivity for monoid actions, generalizing the single-map open-set-overlap condition.Mathlib defines topological transitivity as a class on monoid actions, generalizing the single-map open-set-overlap condition.
addedSharkovskii's theorem63713f16a780
modifiedPoincaré–Bendixson theorem66bf4745e76a
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noteThe Poincaré–Bendixson theorem is not formalized in Mathlib (only an unrelated Poincaré conjecture file exists).The Poincaré–Bendixson theorem is not formalized in Mathlib.
addedCantor setc05d70de0e42
modifiedKoch curve / snowflakee927049a0a7b
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mathlib.declMetric.Snowflaking
mathlib.moduleMathlib.Topology.MetricSpace.Snowflaking
noteMathlib's Snowflaking construction is motivated by the von Koch snowflake in its docstring, but the Koch curve and its fractal dimension are not actually constructed or computed.The Koch curve/snowflake and its fractal dimension are not constructed in Mathlib.
provenanceaiai-moderated
statuspartialnot_formalized