1997a). The emergence of many statistical approaches to characterizing
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but we shall see that the ways they fail to be ergodic (and thus remain
sequence disordering process called “mixing” (see below).
equivalently (though not obviously) one in which the
non-mathematical treatment). These kinds of
thus the origin of the name “strange attractor” (Ruelle and Takens
converge onto an attractor which is neither a fixed point nor a
our difficulties with establishing the “true”
1982). Similar quantitative scaling properties were
1980). The universal characteristic of the third common parametric
burst length varies as the inverse square root of the distance
the ratio of the parameter value at which the next
a dilatational symmetry (also called self similarity or
the greater the accessibility and control of selected
flicker visual stimulation of the salamander generates a
1996). Period adding bifurcations were induced by
1994). Sympathetic nerve discharge in decerebrate
1990). A transition between a regime of irregular discharging to
the human pupillary light reflex will bifurcate into regular oscillations (Milton
the R15 cell of the abdominal ganglion of the Aplysia demonstrates