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Methods for the investigation of dynamical systems with impulse action and “mortal” dynamical systems

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Abstract

The notions of dynamical systems with impulse action and “mortal” dynamical systems are introduced. Their connection with the idealizations of ordinary dynamical systems is considered. General methods for the investigation of these systems are worked out.

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References

  1. V. V. Nemytskii, “General dynamical systems,” Dokl. Akad. Nauk SSSR,53, No. 6, 495–498 (1946).

    Google Scholar 

  2. E. A. Barbashin, “On homeomorphisms of dynamical systems,” Ibid,61, No. 3, 429–432 (1948).

    Google Scholar 

  3. W. H. Gottschalk and G. A. Hedlund, Topological Dynamics, Colloquium Publications, Vol. 36, Amer. Math. Soc., Providence (1955).

    Google Scholar 

  4. E. A. Barbashin, “On the behavior of points under homeomorphic transformations of a space,” Dokl. Akad. Nauk SSSR,5, No. 1, 3–5 (1946).

    Google Scholar 

  5. A. M. Stakhi, “Topological properties of partially ordered dynamical systems,” Ibid.,172, No. 5, 1032–1035 (1967).

    Google Scholar 

  6. V. I. Urmanchev, Dynamical Systems with Impulse Action on the Sphere [in Russian], Preprint No. 90.15, Inst. Matem., Akad. Nauk Ukr. SSR, Kiev (1990).

    Google Scholar 

  7. A. M. Samoilenko and N. A. Perestyuk, Differential Equations with Impulse Action [in Russian], Vishcha Shkola, Kiev (1987).

    Google Scholar 

  8. A. A. Andronov, A. A. Vitt, and S. é. Khaikin, Theory of Oscillations [in Russian], Nauka, Moscow (1981).

    Google Scholar 

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Authors and Affiliations

  1. Kiev University, USSR

    V. I. Urmanchev

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  1. V. I. Urmanchev
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 44, No. 11, pp. 1605–1613, November, 1991.

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Urmanchev, V.I. Methods for the investigation of dynamical systems with impulse action and “mortal” dynamical systems. Ukr Math J 44, 1479–1486 (1992). https://doi.org/10.1007/BF01071524

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  • DOI: https://doi.org/10.1007/BF01071524

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