MS#136. The Peregrinations of Poincare, 2012 In: Christophe Letellier and Robert Gilmore, eds., Topology amd Dynamics of Chaos: In Celebration of Robert Gilmore's 70th Birthday. Singapore, World Scientific, 2013; pp. 23-38. Subjects: History of Mathematics, Dynamics Abstract: This brief history of the tradition of Poincare focuses on the geometric method for flows, and the role of the homoclinic tangle in the birth of chaos theory. Two threads are described from 1880 to 1960: one Westward from Paris to Berkeley, the other Eastward from Paris to Gorky. [PDF] 24 pages, 4.6 MB Last revised by Ralph Abraham