Best 21 quotes in «chaos theory quotes» category

If patterns of ones and zeroes were "like" patterns of human lives and deaths, if everything about an individual could be represented in a computer record by a long strings of ones and zeroes, then what kind of creature could be represented by a long string of lives and deaths?

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.

It’s not an academic question any more to ask what’s going to happen to a cloud. People very much want to know—and that means there’s money available for it. That problem is very much within the realm of physics and it’s a problem very much of the same caliber. You’re looking at something complicated, and the present way of solving it is to try to look at as many points as you can, enough stuff to say where the cloud is, where the warm air is, what its velocity is, and so forth. Then you stick it into the biggest machine you can afford and you try to get an estimate of what it’s going to do next. But this is not very realistic.

I knew the power of a single wish, after all. Invisible and inevitable, like a butterfly that beats its wings in one corner of the globe and with that single action changes the weather halfway across the world.

In short, the idea dawns that the one universal principle which possibly ... between force and structure, the embodiment of the Principle of Least Action and the (unknown) force, which in mathematics is known as the attractor which pulls ... in the direction of the most optimal and relatively stable self-organized criticality, could very well be the Golden Ratio dynamic. the universal principle which as the balance between finiteness and infinity, stability and flexibility underlies self-similar fractal forms emerging at the 'edge of chaos' indeed seems to be the Golden Ratio Spiral.

I think i am too chaotic to ever get depressed. Depression somehow requires an ordered mind where the depression can get hold. Depressions just give up on me, usually at first sight. It's mutual - I find them really tedious and boring.

Overwhelmed by life's complexity? Realize that our alphabet consists of only 26 letters, calculations are based on a set of 10 numbers, all variations in music are based on 7 musical notes, our DNA can be dissected into 4 letters and space on the Planck scale is probably made solely out of binary code

The only simple truth is that there is nothing simple in this complex universe. Everything relates. Everything connects

The fakirs always throng the sea-shore To find meaning in the chaos And then they too become melancholy Feeling nothing but their naked toes.

Postmodern science - by concerning itself with such things as undecidables, the limits of precise control, conflicts characterized by incomplete information, "fracta", catastrophes, and pragmatic paradoxes - is theorizing its own evolution as discontinuous, catastrophic, nonrectifiable, and paradoxical.

That small difference made all the difference.

We all should fear God: because if so far God so wished, then what's next?

Chaos is the score upon which reality is written.

But unpredictability was not the reason physicists and mathematicians began taking pendulums seriously again in the sixties and seventies. Unpredictability was only the attention-grabber. Those studying chaotic dynamics discovered that the disorderly behavior of simple systems acted as a creative process. It generated complexity: richly organized patterns, sometimes stable and sometimes unstable, sometimes finite and sometimes infinite, but always with the fascination of living things. That was why scientists played with toys.

Control is a thinly veiled illusion that deceives and seduces mankind.

Change requires one to start now here or nowhere. Both places require one to pass through the same starting point – today, right now” from Cinderella In Focus

He leaned on the bar. "I'm Tony. And you owe me." Okay, here we go, Liza thought, and leaned on the bar, too, mirroring him. "I owe you?" "Yes." He grinned at her. "Because of chaos theory." Liza shook her head. "Chaos theory." He moved closer to her. "Chaos theory says that complex dynamical systems become unstable because of disturbances in their environments after which a strange attractor draws the trajectory of the stress." Liza looked at him, incredulous. "This is your line?" "I am a complex dynamical system," Tony said. "Not that complex," Liza said. "And I was stable until you caused a disturbance in my environment." "Not that stable," Liza said. Tony grinned. "And since you're the strangest attractor in the room, I followed the trajectory of my stress right to you." "That's not what you followed to me." Liza turned so that her back was against the bar, her shoulder blocking him. "Give me something better than that, or I'll find somebody else to amuse myself with." From the corner of her eye, she saw the other guy, the vacant-looking blond, lean down to Bonnie. "Is she always like this?" he said to Bonnie, and Liza turned to size him up. Big. Husky. Boring. "Well, your friend isn't exactly Prince Charming," Bonnie said, giving him her best fluttery smile. He beamed back down at her. "Neither am I. Is that okay?" Oh, come on, Liza thought, and caught Tony-the-bullethead's eye. "He means it," Tony said. "Roger has no line." "After the chaos theory debacle, that's a plus," Liza said. "Poor baby," Bonnie was saying as she put her hand on Roger's sleeve. "Of course, that's okay. I'm Bonnie." Roger looked down at her with naked adoration. "I'm Roger, and you are the most beautiful woman I've ever seen in my life." Bonnie's smile widened, and she moved closer to him. "Which doesn't mean he's bad with women," Tony said, sounding bemused.

Government succeeds by failing.

Government in and of itself is the foremost agent for destroying order and imposing chaos." "To accept the legitimacy of the state is to embrace the necessity for war." "Political theory would be fine in a perfect world, but in an uncertain one, it is a dangerous gamble.

If God were mortal and had but one life to give, he would have been more careful about how he created the world.

Ideology follows the money." "Governments don't protect people, people protect governments." "To accept the legitimacy of the state is to embrace the necessity for war.