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Dynamic chaos in relay systems with hysteresis

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Abstract

The method of point mappings is applied to analyze stochastic oscillation modes in a relay system with hysteresis and an oscillationally unstable linear part. The stochasticity domains are identified in the parameter space of the relay system. Statistical methods are applied to find the mean time between relay switchings.

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Authors
  1. N. S. Postnikov
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Additional information

The study has been supported by a grant of the Ministry of Science, Higher Education, and Technical Policy of the Russian Federation as part of the programRussian Universities: “Nonlinear Dynamic Systems: Qualitative Analysis and Control.”

Translated from Nelineinye Dinamicheskie Sistemy: Kachestvennyi Analiz i Upravlenie — Sbornik Trudov, No. 2, pp. 91–104, 1994.

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Postnikov, N.S. Dynamic chaos in relay systems with hysteresis. Comput Math Model 8, 62–72 (1997). https://doi.org/10.1007/BF02404066

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  • DOI: https://doi.org/10.1007/BF02404066

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