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Teoreticheskaya i Matematicheskaya Fizika, 1994, Volume 101, Number 1, Pages 85–93 (Mi tmf1671)  
This article is cited in 5 scientific papers (total in 5 papers)

The problem of metrizability of dynamical systems that admit normal shift

R. A. Sharipov

Bashkir State University
Full-text PDF (765 kB) Citations (5)
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Abstract: The problem of metrizability for the dynamical systems accepting the normal shift is formulated and solved. The explicit formula for the force-field of metrizable newtonian dynamical system ∂ttr=F(r,∂tr) is found.
Received: 28.06.1993
English version:
Theoretical and Mathematical Physics, 1994, Volume 101, Issue 1, Pages 1218–1223
DOI: https://doi.org/10.1007/BF01079259
Bibliographic databases:
Language: Russian
Citation: R. A. Sharipov, “The problem of metrizability of dynamical systems that admit normal shift”, TMF, 101:1 (1994), 85–93; Theoret. and Math. Phys., 101:1 (1994), 1218–1223
Citation in format AMSBIB
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\by R.~A.~Sharipov
\paper The problem of metrizability of dynamical systems that admit normal shift
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\yr 1994
\vol 101
\issue 1
\pages 85--93
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1348142}
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\transl
\jour Theoret. and Math. Phys.
\yr 1994
\vol 101
\issue 1
\pages 1218--1223
\crossref{https://doi.org/10.1007/BF01079259}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994QT57100008}
Linking options:
  • https://www.mathnet.ru/eng/tmf1671
  • https://www.mathnet.ru/eng/tmf/v101/i1/p85
    • This publication is cited in the following 5 articles:
    1. R. A. Sharipov, “Dynamic Systems Admitting the Normal Shift and Wave Equations”, Theoret. and Math. Phys., 131:2 (2002), 651–665  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    2. R. A. Sharipov, “Newtonian normal shift in multidimensional Riemannian geometry”, Sb. Math., 192:6 (2001), 895–932  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    3. A. Yu. Boldin, V. V. Dmitrieva, S. S. Safin, R. A. Sharipov, “Dynamical systems on a Riemannian manifold that admit normal shift”, Theoret. and Math. Phys., 103:2 (1995), 543–549  mathnet  crossref  mathscinet  zmath  isi
    4. A. Yu. Boldin, A. A. Bronnikov, V. V. Dmitrieva, R. A. Sharipov, “Complete normality conditions for the dynamical systems on Riemannian manifolds”, Theoret. and Math. Phys., 103:2 (1995), 550–555  mathnet  crossref  mathscinet  zmath  isi
    5. R. A. Sharipov, “Metrizability of dynamical systems by a conformally equivalent metric”, Theoret. and Math. Phys., 103:2 (1995), 556–560  mathnet  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :93
    References:39
    First page:1
     
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