scholarly journals Approximating Multi-Dimensional Hamiltonian Flows by Billiards

2007 ◽  
Vol 272 (3) ◽  
pp. 567-600 ◽  
Author(s):  
A. Rapoport ◽  
V. Rom-Kedar ◽  
D. Turaev
Keyword(s):  
Hamiltonian Flows

Gaussian Model for Chaotic Instability of Hamiltonian Flows

1995 ◽  
Vol 74 (3) ◽  
pp. 375-378 ◽  
Author(s):  
Lapo Casetti ◽  
Roberto Livi ◽  
Marco Pettini
Keyword(s):  
Gaussian Model ◽  
Hamiltonian Flows

scholarly journals Chain recurrence, growth rates and ergodic limits

2007 ◽  
Vol 27 (5) ◽  
pp. 1509-1524 ◽  
Author(s):  
FRITZ COLONIUS ◽  
ROBERTA FABBRI ◽  
RUSSELL JOHNSON
Keyword(s):  
Lyapunov Exponents ◽  
Growth Rates ◽  
General Linear ◽  
Chain Recurrence ◽  
Hamiltonian Flows ◽  
Rotation Numbers ◽  
Linear Flows

AbstractAverages of functionals along trajectories are studied by evaluating the averages along chains. This yields results for the possible limits and, in particular, for ergodic limits. Applications to Lyapunov exponents and to concepts of rotation numbers of linear Hamiltonian flows and of general linear flows are given.

scholarly journals Autonomous Hamiltonian flows, Hofer’s geometry and persistence modules

2015 ◽  
Vol 22 (1) ◽  
pp. 227-296 ◽  
Author(s):  
Leonid Polterovich ◽  
Egor Shelukhin
Keyword(s):  
Hamiltonian Flows ◽  
Persistence Modules

scholarly journals Hofer growth of $C^1$-generic Hamiltonian flows

2016 ◽  
Vol 91 (1) ◽  
pp. 21-38
Author(s):  
Asaf Kislev
Keyword(s):  
Hamiltonian Flows

scholarly journals Averaging of Hamiltonian flows with an ergodic component

2008 ◽  
Vol 36 (6) ◽  
pp. 1999-2049 ◽  
Author(s):  
Dmitry Dolgopyat ◽  
Leonid Koralov
Keyword(s):  
Ergodic Component ◽  
Hamiltonian Flows
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