Professor Alan Champneys - Things that go bump in the night: Poincaré and the homoclinic tangle

University of Bristol


"This talk looks into the history of nonlinear dynamics research from the early desire to prove stability of the solar system. This led Poincare at the end of the 19th century to introduce what we now know to be the qualitative theory of dynamical systems. It transpired that it was an error that led Poincare to the discovery of what we now call the homoclinic tangle. This discovery was instrumental through the work of a range of characters from the 20th Century with the revolution that occured in the 1980s around `chaos theory'. I shall also show how this theory has modern-day application in nonlinear waves and pattern formation problems."

Download the slides here.

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