Localization of invariant compact sets of nonautonomous systems |
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Authors: | A N Kanatnikov A P Krishchenko |
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Institution: | (1) Moscow State Technical University, Moscow, Russia |
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Abstract: | We generalize the localization method for invariant compact sets of an autonomous dynamical system to the case of a nonautonomous system of differential equations. By using this method, we solve the localization problem for the Vallis third-order dynamical system governing some processes in atmosphere dynamics over the Pacific Ocean. For this system, we construct a one-parameter family of localizing sets bounded by second-order surfaces and find the intersection of all sets of the family. |
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