Dynamical Systems 5 - Bifurcation Theory and Catastrophe Theory, Vol. 5 - Vladimir I. Arnol'd, Arnol'd, V. I (1994) |
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Both bifurcation theory and catastrophe theory are studies of smooth systems, focusing on properties that seem manifestly non-smooth. Bifurcations are sudden changes that occur in a system as on or more parameters are varied. Catastrophe theory is accurately as singularity theory and its applications. |
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Translated from the Russian. |