Applications of Chaos Theory

Some applications described in text books.
Martelli, M. (Mario), 1992
Discrete dynamical systems and chaos
New York: J. Wiley
UCSC Science QA614.8.M28 1992
p. 18	1-dim: blood cells; also p. 246
p. 19	2-dim: pop biol; also p. 251
p. 22	3-dim: meteorology; also p. 258
p. 24	n-dim: neural networks; also p. 265
these last 3 via euler from odes
Sandefur, James T., 1993
Discrete dynamical modeling
New York: Oxford University Press
UCSC Science QA614.8.S24 1993
p. 1	drugs in the blood
p. 34	malthus pop, wages, profits
p. 37	harrod economic model
p. 39	supply and demand
p. 46	spreadsheets
p. 95	compound interest
p. 203	gambler's ruin
p. 209	genes
p. 245	national economy
p. 291	harvesting strategies
p. 379	three gunfighters
p. 382	cost accounting
Strogatz, Steven, 1994, D/Mac
Nonlinear Dynamics and Chaos with Applications to Physics, Biology, Chemistry, and Engineering
Reading, MA: Addison-Wesley, 1994
UCSC Science Q172.5.C45 S767
Software available separately, cf West, 1996
part 1, 1d  flows
p. 21	pop growth, logistic w/ good refs
p .53	lasers
p. 61	bead on a hoop
p. 73	insect outbreak
p. 95	oscillator
p. 101	pendulum
p. 103	fireflies
p. 106	josephson junctions

part 2, 2d flows
p. 123	harm osc, spring
p. 138	love affairs
p. 155	rabbits vs sheep
p. 211	oscs
p. 254	osc chem reactions
p. 265	driven pendulum
p. 273	coupled oscs

part 3, chaos
ch 9, lorenz
p. 302	waterwheel
p. 335	secure comms
ch 10, 1d maps
p. 388	lots of good excs
p. 390	ex on cubics
ch 11, fractals
p. 416	excs
ch 12, str attractors
p. 437	chem chaos, roux 
p. 441	forced double well osc, moon

Revised by Ralph 04 May 2002