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math.DS2004
Switched flow systems: pseudo billiard dynamics
Michael Blank, Leonid Bunimovich
We study a class of dynamical systems which generalizes and unifies some models arising in the analysis of switched flow systems in manufacturing. General properties of these dynam…
math.DS2002
Ergodic properties of a simple deterministic traffic flow model re(al)visited
Michael Blank
We study statistical properties of a family of maps acting in the space of integer valued sequences, which model dynamics of simple deterministic traffic flows. We obtain asymptoti…