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Conjugacy of Discrete Semidynamical Systems in the Neighbourhood of Invariant Manifold

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Differential and Difference Equations with Applications

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 47))

Abstract

The conjugacy of discrete semidynamical system and its partially decoupled discrete semidynamical system in Banach space is proved in the neighbourhood of the trivial invariant manifold.

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References

  1. Aulbach, B., Garay, B.M.: Linearization and decoupling of dynamical and semidynamical systems. In: Bainov, D., Covachov, V. (eds.) The Second Colloquium on Differential Equations, pp. 15–27. World Scientific, Singapore (1992)

    Google Scholar 

  2. Aulbach, B., Garay B.M.: Linearizing the expanded part of noninvertible mappings. Z. Angew. Math. Phys. 44(3), 469–494 (1993)

    Article  MathSciNet  MATH  Google Scholar 

  3. Aulbach, B., Garay B.M.: Partial decoupling for noninvertible mappings. Z. Angew. Math. Phys. 45(4), 505–542 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  4. Reinfelds, A.: Partial decoupling of noninvertible mappings. Differ. Equ. Dyn. Syst. 2(3), 205–215 (1994)

    MathSciNet  MATH  Google Scholar 

  5. Reinfelds, A.: The reduction principle for discrete dynamical and semidynamical systems in metric spaces. Z. Angew. Math. Phys. 45(6), 933–955 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  6. Reinfelds, A.: Partial decoupling of semidynamical systems. Latv. Univ. Zināt. Raksti 593, 54–61 (1994)

    MathSciNet  Google Scholar 

  7. Reinfelds, A.: The reduction of discrete dynamical and semidynamical systems in metric spaces. In: Aulbach, B., Colonius F. (eds.) Six Lectures on Dynamical Systems, pp. 267–312. World Scientific, Singapore (1996)

    Chapter  Google Scholar 

  8. Reinfelds, A.: Partial decoupling of semidynamical system in metric space. J. Tech. Univ. Plovdiv, Fundam. Sci. Appl., Ser. A, Pure Appl. Math. 5, 33–40 (1997)

    MathSciNet  MATH  Google Scholar 

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Acknowledgements

This work has been supported by the grant 09.1220 of the Latvian Council of Science and by the ESF Project 2009/0223/1DP/1.1.1.2.0/09/APIA/VIAA/008.

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Authors and Affiliations

  1. Institute of Mathematics and Computer Science, Raiņa bulvāris 29, Rīga, Latvia

    Andrejs Reinfelds

  2. University of Latvia, Faculty of Physics and Mathematics, Zeļļu iela 8, Rīga, Latvia

    Andrejs Reinfelds

Authors
  1. Andrejs Reinfelds
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Correspondence to Andrejs Reinfelds .

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Editors and Affiliations

  1. Departamento de Ciências Exactas e Naturais, Academia Militar, Amadora, Portugal

    Sandra Pinelas

  2. University of Zürich Institute of Mathematics, Zürich, Switzerland

    Michel Chipot

  3. Masaryk University Dept. Mathematics, Brno, Czech Republic

    Zuzana Dosla

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Reinfelds, A. (2013). Conjugacy of Discrete Semidynamical Systems in the Neighbourhood of Invariant Manifold. In: Pinelas, S., Chipot, M., Dosla, Z. (eds) Differential and Difference Equations with Applications. Springer Proceedings in Mathematics & Statistics, vol 47. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-7333-6_52

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