Federico Bonetto, Giovanni Gallavotti
Reversibility, coarse graining and the chaoticity principle
(159K, Postscript)

ABSTRACT.  We describe a way of interpreting the chaotic principle of
ref. [GC1] more extensively than it was meant in the original
works. Mathematically the analysis is based on the dynamical
notions of Axiom A and Axiom B and on the notion of Axiom C,
that we introduce arguing that it is suggested by the results
of an experiment (ref. [BGG]) on chaotic motions. Physically we
interpret a breakdown of the Anosov property of a time
reversible attractor (replaced, as a control parameter changes,
by an Axiom A property) as a spontaneous breakdown of the time
reversal symmetry: the relation between time reversal and the
symmetry that remains after the breakdown is analogous to the
breakdown of $T$-invariance while $TCP$ still holds.