Contents 

Part 2     Chaotic Behavior     201

	Chaotic Dynamics Hall of Fame     203

	6.  Static Limit Sets and Characteristic Exponents     207
	    6.1  Limit points in one dimension     209
	    6.2  Saddle points in two dimensions     215
	    6.3  Nodal points in two dimensions     219
	    6.4  Spiral points in two dimensions     223
	    6.5  Critical points in three dimensions     228

	7.  Periodic Limit Sets and Characteristic Multipliers     233
	    7.1  Limit cycles in the plane     235
	    7.2  Limit cycles in a Möbius band     240
	    7.3  Saddle cycles in three dimensions     244
	    7.4  Nodal cycles in three dimensions     250
	    7.5  Spiral cycles in three dimensions     253
	    7.6  Characteristic exponents     258
	    7.7  Discrete power spectra     261

	8.  Chaotic Limit Sets     265
	    8.1  Poincare's solenoid     267
	    8.2  Birkhoff's bagel     275
	    8.3  Lorenz's mask     283
	    8.4  Rössler's band     287

	9.  Attributes of Chaos     295
	    9.1  Unpredictability     297
	    9.2  Divergence and information gain     304
	    9.3  Expansion, compression, and characteristic exponents     310
	    9.4  Fractal microstructure     317
	    9.5  Noisy power spectra     323

	Conclusion     329