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.
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Famous quotes containing the words crisis, chaos and/or theory:
“I know my fate. One day my name will be tied to the memory of something monstrous—a crisis without equal on earth, the most profound collision of conscience, a decision invoked against everything that had previously been believed, demanded, sanctified. I am no man, I am dynamite!”
—Friedrich Nietzsche (1844–1900)
“Before the land rose out of the ocean, and became dry land, chaos reigned; and between high and low water mark, where she is partially disrobed and rising, a sort of chaos reigns still, which only anomalous creatures can inhabit.”
—Henry David Thoreau (1817–1862)
“Won’t this whole instinct matter bear revision?
Won’t almost any theory bear revision?
To err is human, not to, animal.”
—Robert Frost (1874–1963)