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Abstract:
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Nature is full of phenomena which we call
"chaotic", the weather being a prime example.
What we mean by this is that we cannot predict it
to any significant accuracy, either because the
system is inherently complex, or because some of
the governing factors are not deterministic. However,
during recent years it has become clear that
random behaviour can occur even in very simple
systems with very few number of degrees of freedom,
without any need for complexity or indeterminacy.
The discovery that chaos can be generated even with
the help of systems having completely deterministic
rules - often models of natural phenomena - has
stimulated a lo; of research interest recently. Not
that this chaos has no underlying order, but it is
of a subtle kind, that has taken a great deal of
ingenuity to unravel. In the present thesis, the author
introduce a new nonlinear model, a ‘modulated’
logistic map, and analyse it from the view point of
‘deterministic chaos‘. |