Abstract:
The study of non-linear dynamical systems has brought to the realization
of scientists from all disciplines the power and beauty of geometrical and
qualitative techniques. These techniques could be applied to a number of
important non-linear problems in all fields of science. As a result, chaotic
behaviour is now seen to be an inherent feature of many non-linear
systems. Systems which once seemed completely intractable from an
analytical point of view can now be studied in a geometrical or qualitative
sense.
A case study of numerical solution of a driven damped pendulum is
presented as a typical example of the chaotic behaviour of many non-linear
systems.
