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Abstract <p> For a dynamical system described by a multidimensional system of ordinary differentialequations with a two-position relay hysteresis, we obtain conditions on the mapping generated bythis system under which there exist singular and fixed points. We establish that, foran even-dimensional space, the mapping may have fixed points in the set of singular points.</p>

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Singular and Fixed Points of a Mapping Generated by a Multidimensional System of Ordinary Differential Equations with Relay Hysteresis

  • 期刊论文

  • 发表日期：

    2025年8月1日

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  • A. M. Kamachkin,
  • V. V. Yevstafyeva,
  • D. K. Potapov

摘要

Abstract

For a dynamical system described by a multidimensional system of ordinary differentialequations with a two-position relay hysteresis, we obtain conditions on the mapping generated bythis system under which there exist singular and fixed points. We establish that, foran even-dimensional space, the mapping may have fixed points in the set of singular points.