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Forced Oscillations in Systems with Argmin Type Operators

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Abstract

The properties of the Argmin operator and periodic oscillations in nonlinear systems described by ordinary differential equations and equations with a delayed argument whose right sides are Argmin operators are investigated.

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REFERENCES

  1. Popkov, Y.S., Shvetsov, V.I., and Weidlich, W., Settlement Formation Models with Entropy Operator, Ann.Regional Sci., 1998, vol. 32, no. 2, pp. 267-294.

    Google Scholar 

  2. Popkov, Yu.S., Mathematical Models of Nonequilibrium States of Macrosystems with Self-Reproduction and Local Thermodynamic Distribution, Avtom.Telemekh., 1989, no. 9, pp. 135-146.

  3. Popkov, Yu.S. and Shvetsov, V.I., Local Equilibrium Principles in Regional Dynamics Models, Mat.Modelirovanie, 1990, vol. 2, no. 5, pp. 40-59.

    Google Scholar 

  4. Wilson, A.G., A Statistical Theory of Spatial Distribution Models, Transp.Res., 1967, vol. 1, pp. 253-269.

    Google Scholar 

  5. Eigen, M., Selforganization of Matter and Evolution of Biological Macromolecules, Naturwissenschaften, 1971, no. 58, pp. 465-523. Translated under the title Samoorganizatsiya materii i evolyutsiya biologicheskikh makromolekul, Moscow: Mir, 1973.

  6. Eigen, M. and Schuster, P., The Hypercycles: A Principle of Natural Selforganization, Berlin: Springer-Verlag, 1979. Translated under the title Gipertsikl: printsipy samoorganizatsii makromolekul, Moscow: Mir, 1982.

    Google Scholar 

  7. Krasnosel'skii, M.A. and Zabreiko, P.P., Geometricheskie metody nelineinogo analiza, Moscow: Nauka, 1971. Translated under the title Geometrical Methods of Nonlinear Analysis, New York: Springer, 1984.

    Google Scholar 

  8. Krasnosel'skii, M.A., Operator sdviga po traektoriyam differentsial'nykh uravnenii, Moscow: Nauka, 1966. Translated under the title The Operator of Translation Along the Trajectories of Differential Equations, Providence: American Mathematical Society, 1968.

    Google Scholar 

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Bobylev, N.A., Popkov, A.Y. Forced Oscillations in Systems with Argmin Type Operators. Automation and Remote Control 63, 1707–1716 (2002). https://doi.org/10.1023/A:1020990912095

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  • DOI: https://doi.org/10.1023/A:1020990912095

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