Robust Heteroclinic Cycles
A robust heteroclinic cycle is one which persists under small changes in the underlying dynamical system. Robust cycles often arise in the presence of symmetry or other constraints which force the existence of invariant hyperplanes. A prototypical example of a robust heteroclinic cycle is the Guckenheimer–Holmes cycle.
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Famous quotes containing the words robust and/or cycles:
“These great and beautiful ships, imperceptibly rocking like waddling ducks on tranquil waters, these robust ships, with their idle and nostalgic air, aren’t they telling us in a silent tongue: When are we leaving for happiness?”
—Charles Baudelaire (1821–1867)
“The stars which shone over Babylon and the stable in Bethlehem still shine as brightly over the Empire State Building and your front yard today. They perform their cycles with the same mathematical precision, and they will continue to affect each thing on earth, including man, as long as the earth exists.”
—Linda Goodman (b. 1929)