Crisis in Chaos Theory
When the control parameter of a chaotic system is modified, the chaotic attractor touches an unstable periodic orbit inside the basin of attraction inducing a sudden expansion in the attractor. This phenomenon is termed as interior crisis in a chaotic system.
Read more about this topic: Crisis? What Crisis?/Comments
Famous quotes containing the words crisis in, crisis, chaos and/or theory:
“The age of puberty is a crisis in the age of man worth studying. It is the passage from the unconscious to the conscious; from the sleep of passions to their rage.”
—Ralph Waldo Emerson (1803–1882)
“Most observers of the French Revolution, especially the clever and noble ones, have explained it as a life-threatening and contagious illness. They have remained standing with the symptoms and have interpreted these in manifold and contrary ways. Some have regarded it as a merely local ill. The most ingenious opponents have pressed for castration. They well noticed that this alleged illness is nothing other than the crisis of beginning puberty.”
—Novalis [Friedrich Von Hardenberg] (1772–1801)
“I have great belief in the fact that whenever there is chaos, it creates wonderful thinking. I consider chaos a gift.”
—Septima Clark (1898–1987)
“We commonly say that the rich man can speak the truth, can afford honesty, can afford independence of opinion and action;—and that is the theory of nobility. But it is the rich man in a true sense, that is to say, not the man of large income and large expenditure, but solely the man whose outlay is less than his income and is steadily kept so.”
—Ralph Waldo Emerson (1803–1882)