Chaos and Momentum Diffusion of the Classical and Quantum Kicked Rotor Page: 3
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corresponding coefficient D(K) in these regions has three distinct sections, most likely
due to accelerator modes with period greater than one.
We also show that the local Lyapunov exponent of the classical kicked rotor has
a plateau for a duration that depends on the initial separation and then decreases
asymptotically as O(f 'Ilnt), where t is the time. This behavior is consistent with an upper
bound that is determined analytically.
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Zheng, Yindong. Chaos and Momentum Diffusion of the Classical and Quantum Kicked Rotor, dissertation, August 2005; Denton, Texas. (https://digital.library.unt.edu/ark:/67531/metadc4824/m1/3/: accessed July 18, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; .