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Qualitative Investigation of Discontinuous Dynamical Systems on a Plane by the Method of Pointwise Mappings

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Abstract

For two-dimensional discontinuous dynamical systems, we investigate properties of the Poincaré map by the method of pointwise mappings and establish a criterion for the stability of n-impulse cycles and an estimate for the number of sinks.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    V. I. Urmanchev

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  1. V. I. Urmanchev
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Urmanchev, V.I. Qualitative Investigation of Discontinuous Dynamical Systems on a Plane by the Method of Pointwise Mappings. Ukrainian Mathematical Journal 56, 135–147 (2004). https://doi.org/10.1023/B:UKMA.0000031708.54662.e6

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  • DOI: https://doi.org/10.1023/B:UKMA.0000031708.54662.e6

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