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SUMMARY:Lorenz chaos beyond the attractor - Prof. Bernd Krauskopf\, Univer
 sity of Auckland
DTSTART:20170510T133000Z
DTEND:20170510T143000Z
UID:TALK72276@talks.cam.ac.uk
CONTACT:Prof. Julia Gog
DESCRIPTION:The well-known Lorenz system has become a paradigm example of 
 a seemingly simple\, low-dimensional system displaying extreme sensitivity
  and chaos. Derived by meteorologist Edward Lorenz in the 1960 as a much s
 implified model of scrolls in the atmosphere\, the three differential equa
 tions now bearing his name have been found to describe the chaotic dynamic
 s of systems as diverse as class-C lasers and leaky water wheels. The chao
 tic dynamic has been represented mathematically by the much publicised Lor
 enz attractor.\n\nThis talk will discuss how the dynamics of the Lorenz sy
 stem is organised globally throughout phase space\, not just on the Lorenz
  attractor itself. To this end\, we consider\, compute and visualise a sur
 face known as the Lorenz manifold\, consisting of all trajectories that en
 d up at the origin rather than move over the Lorenz attractor forever. The
  Lorenz manifold changes in an amazing way during the transition from simp
 le to chaotic dynamics. It is an intriguing and beautiful geometric object
  — and has even been turned into a piece of art.
LOCATION:MR2\,  Centre for Mathematical Sciences\, Wilberforce Road\, Camb
 ridge
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