Finding and exploiting structure in complex systems via geometric and statistical methods

The dynamics of a complex system can be understood by analyzing the phase space structure of that system. We apply geometric and statistical techniques to two Hamiltonian systems to find and exploit structure in the phase space that helps us get qualitative and quantitative results about the phase s...

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Bibliographic Details
Main Author: Grover, Piyush
Other Authors: Engineering Science and Mechanics
Format: Others
Published: Virginia Tech 2014
Subjects:
Online Access:http://hdl.handle.net/10919/28019
http://scholar.lib.vt.edu/theses/available/etd-06112010-162808/