Domain of attraction of asymptotically stable periodic solutions obtained via averaging principle
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TL;DRAbstract
In this paper we propose an approach to evaluate the domain of attraction of asymptotically stable periodic solutions obtained via averaging principle (second Bogolubov's theorem or Mel'nikov's method). We discuss also how this result is extended in the case when the right hand part is nonsmooth.
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In this paper we propose an approach to evaluate the domain of attraction of asymptotically stable periodic solutions obtained via averaging principle (second Bogolubov's theorem or Mel'nikov's method). We discuss also how this result is extended in the case when the right hand part is nonsmooth.
Keywords
AttractionDomain (mathematical analysis)MathematicsStability theoryApplied mathematicsMathematical analysisStability (learning theory)Computer science
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