الفهرس 
INTRODUCTION AND STATEMENT OF THE PROBLEMOnly 14 pages are availabe for public view
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Abstract
This work aims at finding the bifurcations which happen in a
second order conservative recurrence. These bifurcations take place
when a parameter ”a” changes in a certain domain making the
behaviour of the recurrence solution undergoes a qualificative
change.
Practical examples on many problems which lead to recurrence
relations are introduced to show the dependence of many engineering
problems on this work.
The basic theory of recurrences, its order and type, the
solution and its stability, nature and type of singularities and
its description in the phase plane , the possible cases of
bifurcations, all have been investigated and discussed in detail by
means of definitions , simple figures, various solved examples and
well studied cases.