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
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)
“The change from storm and winter to serene and mild weather, from dark and sluggish hours to bright and elastic ones, is a memorable crisis which all things proclaim. It is seemingly instantaneous at last.”
—Henry David Thoreau (1817–1862)
“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)
“It makes no sense to say what the objects of a theory are,
beyond saying how to interpret or reinterpret that theory in another.”
—Willard Van Orman Quine (b. 1908)