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, chaos and/or theory:
“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] (17721801)
“Before abstraction everything is one, but one like chaos; after abstraction everything is united again, but this union is a free binding of autonomous, self-determined beings. Out of a mob a society has developed, chaos has been transformed into a manifold world.”
—Novalis [Friedrich Von Hardenberg] (17721801)
“The weakness of the man who, when his theory works out into a flagrant contradiction of the facts, concludes So much the worse for the facts: let them be altered, instead of So much the worse for my theory.”
—George Bernard Shaw (18561950)