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 in, crisis, chaos and/or theory:
“It is necessary to turn political crisis into armed crisis by performing violent actions that will force those in power to transform the military situation into a political situation. That will alienate the masses, who, from then on, will revolt against the army and the police and blame them for this state of things.”
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“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.”
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“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.”
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