Lyapunov Exponents

From: Gaurav Gandhi (gaurav_cyber_at_hotmail.com)
Date: 08/25/04 

Date: 25 Aug 2004 09:55:12 -0700

Hello Everyone,

Can anyone help me with following queries ?

a) Is there any software / script availiable which can calculate
lyapunov exponent (LE) from a system ( n > 4) of ODEs (ordinary
differential eqution) ?

b) As far as I understand, one LE > 0 implies the system is chaotic
and more than one LE > 0 implies a hyperchaotic behaviour. Does there
exists a different types of hyperchaos i.e. some with 2 LE > 0 some
with 3 LE > 0 etc. If yes how does the properties of the system
changes ?

c) When two chaotic systems enters synchronization, what is the
expected behaviour of LE of the system as a whole and that of
individual system ? (Can we define such LE i.e. LE for system and LE
of sub-system ?)

Links to websites and reference to articles for further understanding
will be of great help.

Thanks,

Regards,
Gaurav