Averages of functionals along trajectories are studied by evaluating the averages along chains. This yields results for possible limits and, in particular, for ergodic limits. Applications to Lyapunov exponents and to concepts of rotation numbers of linear Hamiltonian systems and of general linear flows are given.
Chain Recurrence, Growth rates and Ergodic Limits / F.COLONIUS; R. FABBRI; R. JOHNSON. - In: ERGODIC THEORY & DYNAMICAL SYSTEMS. - ISSN 0143-3857. - STAMPA. - 27, Issue 05:(2007), pp. 1509-1524. [10.1017/S0143385707000363]
Chain Recurrence, Growth rates and Ergodic Limits
FABBRI, ROBERTA;JOHNSON, RUSSELL ALLAN
2007
Abstract
Averages of functionals along trajectories are studied by evaluating the averages along chains. This yields results for possible limits and, in particular, for ergodic limits. Applications to Lyapunov exponents and to concepts of rotation numbers of linear Hamiltonian systems and of general linear flows are given.
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