Order in extremal trajectories

Details Order in extremal trajectories Order in extremal trajectories

2009-07-10

arxiv.org/abs/0907.1807v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

Given a chaotic dynamical system and a time interval in which some quantity takes an unusually large average value, what can we say of the trajectory that yields this deviation? As an example, we study the trajectories of the archetypical chaotic system, the baker's map. We show that, out of all irregular trajectories, a large-deviation requirement selects (isolated) orbits that are periodic or quasiperiodic. We discuss what the relevance of this calculation may be for dynamical systems and for glasses.

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