Day 28:
Heart of Mathematics
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Announcements:
New assignment:
Fri
3/26
Finishing Chaos
Read section 3.1 -- Infinity!
Reminder
: Homework pp. 498, #19-24; due Mon, 3/29
Today: Finish Chaos (Section 6.5)
The hexstat probability generator as a chaotic system
How do the Lorenz Equations relate to this?
The Lorenz attractor
is like the average curve you see in the hexstat probability generator.
Global Climate Change and the
butterfly effect
: an analogy
A little more about the
logistic map
:
A really neat illustration of what happens as we change
a
Our authors use this in their discussion of the Verhulst Model for Population growth, including carrying capacity.
This leads us back to fractals, as well as to the new idea of "cobwebbing". We'll look at an example, and use this applet/
animation
.
Cobwebbing - another example (#5 and 6), using a "tent function"
Website maintained by
Andy Long
. Comments appreciated.