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Journal of Physics A: Mathematical and General
Volumn 34, Issue 11, 2001, Pages 2185-2193
On the existence of polynomial first integrals of quadratic homogeneous systems of ordinary differential equations

(1)  Tsygvintsev, Alexei a  

a NONE
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EID: 0035937680     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/34/11/311     Document Type: Article
Times cited : (23)
References (11)
  • 1
    • 0003136372 scopus 로고
    • Mémoire sur les équations différentielles algébrique du premier ordre et du premier degré
    • Darboux G 1878 Mémoire sur les équations différentielles algébrique du premier ordre et du premier degré Bull. Sci. Math. Ser 2 2 60-96, 123-144, 151-200
    • (1878) Bull. Sci. Math. Ser 2 , vol.2 , pp. 60-96
    • Darboux, G.1
  • 2
    • 0013249979 scopus 로고
    • On algebraic non-integrability of the Halphen system
    • Maciejewski A J and Strelcyn J-M 1995 On algebraic non-integrability of the Halphen system Phys. Lett. A 201 161-6
    • (1995) Phys. Lett. A , vol.201 , pp. 161-166
    • Maciejewski, A.J.1    Strelcyn, J.-M.2
  • 3
    • 34250146236 scopus 로고
    • Necessary condition for existence of algebraic first integrals
    • Yoshida H 1983 Necessary condition for existence of algebraic first integrals Celestial Mech. 31 363-99
    • (1983) Celestial Mech. , vol.31 , pp. 363-399
    • Yoshida, H.1
  • 4
    • 0002828697 scopus 로고
    • Tensor invariants of quasihomogeneous systems of differential equations and the asymptotic method of Kovallevskaya-Lyapunov
    • Kozlov V V 1992 Tensor invariants of quasihomogeneous systems of differential equations and the asymptotic method of Kovallevskaya-Lyapunov Mat. Zametki 51 46-52 (Engl. Transl. 1992 Math. Notes 51)
    • (1992) Mat. Zametki , vol.51 , pp. 46-52
    • Kozlov, V.V.1
  • 5
    • 0039984255 scopus 로고
    • Engl. Transl.
    • Kozlov V V 1992 Tensor invariants of quasihomogeneous systems of differential equations and the asymptotic method of Kovallevskaya-Lyapunov Mat. Zametki 51 46-52 (Engl. Transl. 1992 Math. Notes 51)
    • (1992) Math. Notes , vol.51
  • 7
    • 0003269768 scopus 로고
    • Equations de Pfaff algébriques
    • Berlin: Springer
    • Jouanolou J-P 1979 Equations de Pfaff algébriques Lecture Notes in Mathematics vol 708 (Berlin: Springer)
    • (1979) Lecture Notes in Mathematics , vol.708
    • Jouanolou, J.-P.1
  • 8
    • 0003081787 scopus 로고
    • On the non-existence of constants of derivations: The proof of theorem of Jouanolou and its development
    • Ollagnier J, Nowicki A and Strelcyn J-M 1995 On the non-existence of constants of derivations: the proof of theorem of Jouanolou and its development Bull. Sci. Math. 119 195-233
    • (1995) Bull. Sci. Math. , vol.119 , pp. 195-233
    • Ollagnier, J.1    Nowicki, A.2    Strelcyn, J.-M.3
  • 9
    • 0030558948 scopus 로고    scopus 로고
    • Integrability, partial integrability and nonintegrability for systems of ordinary differential equations
    • Goriely A 1996 Integrability, partial integrability and nonintegrability for systems of ordinary differential equations J. Math. Phys. 37 1871-93
    • (1996) J. Math. Phys. , vol.37 , pp. 1871-1893
    • Goriely, A.1
  • 10
    • 0039209252 scopus 로고    scopus 로고
    • A brief history of Kovalevskaya exponents and modern developments
    • Goriely A 2000 A brief history of Kovalevskaya exponents and modern developments Regular and Chaotic Dynamics 5 3-15
    • (2000) Regular and Chaotic Dynamics , vol.5 , pp. 3-15
    • Goriely, A.1
  • 11
    • 0030535391 scopus 로고    scopus 로고
    • On non-integrability of general systems of differential equations
    • Furta S D 1996 On non-integrability of general systems of differential equations Z. Angew. (Math.) Phys. 47 112-31
    • (1996) Z. Angew. (Math.) Phys. , vol.47 , pp. 112-131
    • Furta, S.D.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.