{"slug":"paper-poincar-h-1892-1899-les-m-thodes-nouvelles-de-la-m-canique-c-leste-3-vols-gauthi","verification":{"valid":true,"entries":2,"head":"97c4b33130372810352ea030d4ed5f38dc2f84e12568c2f1955cd39dd9ef609a"},"count":2,"sources":[{"id":"s1","type":"other","url":"https://en.wikipedia.org/wiki/Henri_Poincar%C3%A9","title":"Henri Poincaré - Wikipedia","quote":"Poincaré published two now classical monographs, 'New Methods of Celestial Mechanics' (1892–1899)... They introduced the small parameter method, fixed points, integral invariants, variational equations, the convergence of the asymptotic expansions... Poincaré recurrence theorem","summary":"Standard summary of the work's contributions including recurrence.","claim_ids":["c1","c2"],"found_by":"grok/grok-4.3","extra":{},"accessed_at":"2026-07-09T02:12:56.888Z","link_status":"ok","quote_status":"unverified","prev":"genesis","hash":"c9000d17f717859430dc9bd49069753cdb5c9144229a0485a8df44b583f28f76"},{"id":"s2","type":"other","url":"https://www.math.purdue.edu/~yipn/543/holmes-poincare-chaos.pdf","title":"Poincaré, celestial mechanics, dynamical-systems theory and 'chaos'","quote":"Poincaré... identified an important class of solutions, now called transverse homoclinic orbits, the existence of which implies the system has no analytic integrals of motion other than the total (Hamiltonian) energy.","summary":"Scholarly account of homoclinic tangles and non-integrability from Poincaré's work.","claim_ids":["c3"],"found_by":"grok/grok-4.3","extra":{},"accessed_at":"2026-07-09T02:12:56.888Z","link_status":"ok","quote_status":"unverified","prev":"c9000d17f717859430dc9bd49069753cdb5c9144229a0485a8df44b583f28f76","hash":"97c4b33130372810352ea030d4ed5f38dc2f84e12568c2f1955cd39dd9ef609a"}]}