Readings
Read the lectures notes about example 5 (the quadratic map) in the first section of Part 1.
Read chapters 1 to 5 in Chance and Chaos.
Homework
Due FRIDAY February 12
Describe as completely as possible
the evolution of the system defined by the evolution rule
for 
and
a=7/10.
Calculate 
.
What would be if we had taken 
?
Which conclusions can you draw regarding small changes in the
initial conditions?
(related to two independent circular motions of respective
periods 
and 
)
Draw the lines describing the evolution of the system
for 
. Compare your results at times
with the results of the previous exercise .
After how long does the system return to its initial state?
How would your results be affected if you had taken x(0)=0.001
instead of x(0)=0?