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Basis of absolute invariants of completely solvable linear and linear-fractional discrete dynamical systems

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Abstract

We construct a basis of nondegenerate absolute invariants of completely solvable linear and linear-fractional discrete dynamical systems.

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References

  1. Sahadevan, R., On Invariants for Difference Equations of Rational Form, J. Math. Anal. Appl., 1999, vol. 233, pp. 498–507.

    Article  MathSciNet  MATH  Google Scholar 

  2. Gasull, A. and Manosa, V., A Darboux-Type Theory of Integrability for Discrete Dynamical Systems, J. Difference Equ. Appl., 2002, vol. 8, no. 12, pp. 1171–1191.

    Article  MathSciNet  MATH  Google Scholar 

  3. Tyshchenko, V.Yu., Invariants of Discrete Dynamical Systems, Differ. Uravn., 2010, vol. 46, no. 5, pp. 752–755.

    MathSciNet  Google Scholar 

  4. Gaishun, I.V., Vpolne razreshimye mnogomernye differentsial’nye uravneniya (Completely Integrable Multidimensional Differential Equations), Minsk: Navuka i Tekhnika, 1983.

    Google Scholar 

  5. Gantmakher, F.R., Teoriya matrits (Theory of Matrices), Moscow: Nauka, 1988.

    MATH  Google Scholar 

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Original Russian Text © V.Yu. Tyshchenko, 2012, published in Differentsial’nye Uravneniya, 2012, Vol. 48, No. 5, pp. 758–760.

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Tyshchenko, V.Y. Basis of absolute invariants of completely solvable linear and linear-fractional discrete dynamical systems. Diff Equat 48, 765–767 (2012). https://doi.org/10.1134/S0012266112050163

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  • DOI: https://doi.org/10.1134/S0012266112050163

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