Skip to main content
SpringerLink
Log in

Divergence of a real normalizing transformation

  • Published:
Mathematical notes of the Academy of Sciences of the USSR Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Literature cited

  1. A. D. Bryuno, “The normal form of real differential equations,” Mat. Zametki,18, No. 2, 227–241 (1975).

    Google Scholar 

  2. A. D. Bryuno, “The analytic form of differential equations,” Tr. Mosk. Mat. O-va.,25, 119–262 (1971);26, 199–239 (1972).

    Google Scholar 

  3. L. M. Markhashov, The Analytic Equivalence and Stability of Systems of Second Order under the Resonance 1∶1 [in Russian], Preprint No. 14, Institut Problem Mekhaniki, Moscow (1972).

    Google Scholar 

  4. L. M. Markhashov, “On the analytic equivalence of systems of ordinary differential equations under resonances,” in: Problems of Analytical Mechanics, Theory of Stability, and Control [in Russian], Nauka, Moscow (1975), pp. 189–195.

    Google Scholar 

  5. A. D. Bryuno, “On local invariants of differential equations, Mat. Zametki,14, No. 4, 499–507 (1973).

    Google Scholar 

  6. V. V. Basov, Divergence of Transformations of Real Systems to the Normal Form in the Case of Nonrough Focus [in Russian], Deposited in the All-Union Institute of Scientific and Technical Information at No. 1206-78.

  7. L. M. Markhashov, “The method of invariants in problems about equivalence of ordinary equations,” in: Cybernetics and Computational Techniques [in Russian], No. 39, Naukova Dumka, Kiev (1978), pp. 45–53.

    Google Scholar 

  8. A. D. Bryuno, On the Divergence of a Real Normalizing Transformation [in Russian], Preprint No. 112, Inst. Prikladnoi Matem. Akad. Nauk SSSR, Moscow (1978).

    Google Scholar 

  9. A. D. Bryuno, On the Noncanonical Invariants of Hamiltonian Systems [in Russian], Preprint No. 4, Institut Prikladnoi Matem. Akad. Nauk SSSR, Moscow (1979).

    Google Scholar 

  10. A. D. Bryuno, The Divergence of the Real Normalizing Transformation [in Russian], Preprint No. 62, Inst. Prikladnoi Matem. Akad. Nauk SSSR, Moscow (1979).

    Google Scholar 

  11. A. D. Bryuno, On the Local Equivalence of Ordinary Differential Equations [in Russian], Preprint No. 15, Inst. Prikladnoi Matem. Akad. Nauk SSSR, Moscow (1980).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute for Applied Mathematics, Academy of Sciences of the USSR, USSR

    A. D. Bryuno

Authors
  1. A. D. Bryuno
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Matematicheskie Zametki, Vol. 31, No. 3, pp. 403–410, March, 1982.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bryuno, A.D. Divergence of a real normalizing transformation. Mathematical Notes of the Academy of Sciences of the USSR 31, 207–211 (1982). https://doi.org/10.1007/BF01145469

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01145469

Search

Navigation