I will speak on three kinds of behavior which have been successfully
applied to explain behavior of nature across fields and across scales –
resonance, exponential growth, and chaos. I know of no good book which
talks about all three in a clear manner, but there are some good and fun
websites which do. My favorites:
For resonance,
http://bednorzmuller87.phys.cmu.edu/demonstrations/
This is an interesting collection of demonstrations of physical phenomena
from the Carnegie Mellon University Physics Department. For information
specific to my talk, click on Oscillations and Waves and then on
Driven Oscillations.
For exponential growth,
http://zebu.uoregon.edu/1996/es202/l7.html
From the University of Oregon, this is lecture notes from a course
on environmental science. The l7 in the address represents lecture
seven. The following lecture (l8) is also of interest. The topic
addresses exponential growth as it applies to population issues. Another
site worth a look is
http://eta.physics.uoguelph.ca/tutorials/exp/Q.exp.html
From the University of Guelph in Canada, this is kinda "math-y" but
the opening graphic is worth the price of admission.
For chaos,
http://math.bu.edu/DYSYS/index.html
Of the thousands of websites where chaos is discussed, this is the
best. Bob Devaney, of the Dynamical Systems Group at Boston University,
is a well known chaos expert and the force behind this group and this website.
There is lots to explore here.
There is lots more out there – some of it quite good, much of it wrong,
silly, boring or all three. If you are of a mind, you can look around by
doing a web search on keywords "wave resonance", "exponential growth",
and "chaos".