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In article <9211190856.AA24359@nettlesome.berkeley.edu> Frederic Geurts <gf@INFO.UCL.AC.BE> writes:
>Does anybody have good references about the theory of symbolic dynamics when
> used as a topological tool to study dynamical systems ?

It wouldn't hurt to go back and read some of the original papers
in this area:

  Metropolis, N., M.L. Stein, and P.R. Stein.  On the finite
  limit sets for transformations on the unit interval.
  _J. of Comb. Theory_ 15(1), 25--44 (July 1973).

  Derrida, B., A. Gervois, and Y. Pomeau.  Iteration of
  endomorphisms on the real axis and representation of
  numbers.  _Annales de l' Institut Henri Poincare_
  (Section A) 29(3), 305--356 (1978).

I believe both of these (and more) are reprinted in Bai-Lin Hao's
_Chaos_ (World Scientific, Singapore, 1984, Q295.C44).  There's
also a book by Hao entitled _Elementary Symbolic Dynamics and
Chaos in Dissipative Systems_ (World Scientific, Singapore, 1989,
Q172.5.C45 H36) which you might find interesting.  His biblio-
graphy, by the way, is incredibly exhaustive.

>I am looking for different definitions of Chaos (apart from : sensitive
> dependance on initial conditions + topological transitivity + density of
> periodic points (R.L. Devaney)). Could anybody show me references about it ?

Recently, it's been shown that transitivity and dense periodic
points imply sensitive dependence.  See

  J. Banks, J. Brooks, G. Cairns, G. Davis and P. Stacey.
  On Devaney's definition of chaos.  _Amer. Math. Monthly_
  99(4), 332--334, 1992.

and the letter on p.865 of November's _Monthly_ (Vol.99,
No.9) by Assaf and Gadbois.

-- 
Tom Scavo
scavo@cie.uoregon.edu