Bifurcations Quotes & Sayings

She understood nothing, she learned nothing, so she just stood there, lively sometimes, joyful even, a groundless joy that brought tears to their eyes, though they wished they could share these moments with her: her ecstasy over a leaf, which could last for whole minutes at a time, as though it were the most wonderful thing in the world, as though the precise bifurcations of its veins or the carefree elegance with which it swayed in the breeze was what made her clap her hands together in glee ... — Jean-Christophe Valtat

Taking in the scene, Ella wrinkled her nose. "Drat. We missed the excitement!" "It appears we did," Vivi agreed, disappointment in her tone. "Ah, well. Next time!" Ella brightened. Alex — Sarah MacLean

It's a little bit like my inability to read a guide book before I go anywhere. I can read it after I've been there and by the same logic I refuse to accept any technical stunts from anybody. I refused to learn more than I knew and I confess I missed a great deal. — Ben Shahn

If you're not scared a lot you're not doing very much. — Robin S. Sharma

Healing unhealthy relationships with created things is not a management issue. It's a heart issue, a question of just where our highest allegiances lie. — Ellen Vaughn

I'm a misunderstood genius."
"What's misunderstood?"
"Nobody thinks I'm a genius. — Bill Watterson

One by one, these governments came undone, and were forced into IMF tutelage (and national illegitimacy) by the careening oil prices, the debt imbroglio, and falling terms of trade. The last of these governments to fall were the Communist regimes of eastern Europe, which have now gone the way of other Third World countries. The second in the cascade of bifurcations is thus symbolized by 1989. — Immanuel Wallerstein

I love the process of discovering a new world - that's why I'm passionate about acting. It's just discovering life, feelings, ideas and thought. — Alice Braga

We seem to be in the midst of a process of cascading bifurcations that may last some 50 more years. We can be sure some new historical order will emerge. We cannot be sure what that order will be. Concretely, we may symbolize the first bifurcation as the effect of the world revolution of 1968 which continued up to and including the so-called collapse of the communisms in 1989, the social bifurcation. — Immanuel Wallerstein

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. — Gary William Flake