Geometry in the large and hyperbolic chaos
Author(s) -
B. Hasslacher,
Ronnie Mainieri
Publication year - 1998
Publication title -
osti oai (u.s. department of energy office of scientific and technical information)
Language(s) - English
Resource type - Reports
DOI - 10.2172/674860
Subject(s) - chaotic , chaos (operating system) , orbit (dynamics) , observable , sequence (biology) , field (mathematics) , geometry , quantum chaos , physics , theoretical physics , computer science , mathematics , quantum , pure mathematics , aerospace engineering , engineering , quantum mechanics , artificial intelligence , biology , quantum dynamics , genetics , computer security
This is the final report of a three-year, Laboratory Directed Research and Development (LDRD) project at the Los Alamos National Laboratory (LANL). The authors calculated observables in strongly chaotic systems. This is difficult to do because of a lack of a workable orbit classification for such systems. This is due to global geometrical information from the original dynamical system being entangled in an unknown way throughout the orbit sequence. They used geometrical methods from modern mathematics and recent connections between global geometry and modern quantum field theory to study the natural geometrical objects belonging to hard chaos-hyperbolic manifolds
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