“If we increase r [in a logistic map] even more, we will eventually force the system into a period-8 limit cycle, then a period-16 cycle, and so on. The amount that we have to increase r to get another period doubling gets smaller and smaller for each new bifurcation. This cascade of period doublings is reminiscent of the race between Achilles and the tortoise, in that an infinite number of bifurcations (or time steps in the race) can be confined to a local region of finite size. At a very special critical value, the dynamical system will fall into what is essentially an infinite-period limit cycle. This is chaos.”
“Right now, we are in a peak cycle. There’s tremendous energy out there, directed against the state. It’s not all focused, but it’s there, and it’s building. Maybe this will be sufficient to accomplish what we must accomplish over the fairly short run. We’ll see, and we can certainly hope that this is the case. But perhaps not. We must be prepared to wage a long struggle. If this is the case then we’ll probably see a different cycle, one in which the revolutionary energy of the people seems to have dispersed, run out of steam. But – and this is important- such cycles are deceptive. Things appear to be at low ebb, but actually what’s happening is a period of regroupment, a period in which we step back and learn from the mistakes made during the preceding cycle.”
“The distance between one historical period and another is a very small step in comparison to the huge metaphysical gap we must leap to understand the perspective of another person in any time or place.”
“[T]he period between four and six in the morning is called the Brahmamuhurta, the Brahmic time, or divine period, and is a very sacred time to meditate. (140)”
“In general, we imagine rivers to be subject to a kind of dynamic equilibrium, largely stable geologic features, with processes like regional incision or subtle shifts in mountain building causing short- and medium-term variation around some slowly changing mean condition, but in fact it is far more common to see dramatic change over short periods, with long periods of stability between in what geologists refer to as 'dynamic metastable equilibrium.'It is the same with families, memory, the history of a person's life, what we believe to be true.”
“Peace: A period of cheating between two periods of fighting.”