8/27/03
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WolframÕs Classification
¥Class I: evolve to fixed, homogeneous state
Ð~ limit point
¥Class II: evolve to simple separated periodic structures
Ð~ limit cycle
¥Class III: yield chaotic aperiodic patterns
Ð~ strange attractor (chaotic behavior)
¥Class IV: complex patterns of localized structure
Ð~ long transients, no analog in dynamical systems