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Volumn 11, Issue 3, 2010, Pages 2100-2105

Integrability conditions for Lotka-Volterra planar complex quintic systems

Author keywords

Integrability; Polynomial differential system; Polynomial vector field

Indexed keywords

DIFFERENTIAL SYSTEMS; FIRST INTEGRAL; HOMOGENEOUS POLYNOMIALS; INTEGRABILITY; INTEGRATING FACTOR; LOTKA-VOLTERRA; PLANAR COMPLEXES; POLYNOMIAL VECTOR FIELD; QUINTIC;

EID: 77950918449     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2009.06.002     Document Type: Article
Times cited : (45)

References (20)
  • 3
    • 0010208567 scopus 로고    scopus 로고
    • The problem of center for resonant singular points of polynomial vector fields
    • Żoła̧dek H. The problem of center for resonant singular points of polynomial vector fields. J. Differential Equations 137 1 (1997) 94-118
    • (1997) J. Differential Equations , vol.137 , Issue.1 , pp. 94-118
    • Zoła̧dek, H.1
  • 4
    • 0000173117 scopus 로고
    • Détermination et intégration d'une certaine classe d'équations différentielles ayant pour point singulier un centre
    • Dulac H. Détermination et intégration d'une certaine classe d'équations différentielles ayant pour point singulier un centre. Bull. Sci. Math. (2) 32 (1908) 230-252
    • (1908) Bull. Sci. Math. (2) , vol.32 , pp. 230-252
    • Dulac, H.1
  • 5
    • 85025504292 scopus 로고
    • Gröbner bases and primary decomposition of polynomials
    • Gianni P., Trager B., and Zacharias G. Gröbner bases and primary decomposition of polynomials. J. Symbolic Comput. 6 (1988) 146-167
    • (1988) J. Symbolic Comput. , vol.6 , pp. 146-167
    • Gianni, P.1    Trager, B.2    Zacharias, G.3
  • 6
    • 0030096538 scopus 로고    scopus 로고
    • Localization and primary decomposition of polynomial ideals
    • Shimoyama T., and Yokoyama K. Localization and primary decomposition of polynomial ideals. J. Symbolic Comput. 22 (1996) 247-277
    • (1996) J. Symbolic Comput. , vol.22 , pp. 247-277
    • Shimoyama, T.1    Yokoyama, K.2
  • 8
    • 37849042821 scopus 로고    scopus 로고
    • Singular 3.0 A computer algebra system for polynomial computations
    • University of Kaiserslautern
    • G.M. Greuel, G. Pfister, H. Schönemann, Singular 3.0 A computer algebra system for polynomial computations, Centre for Computer Algebra, University of Kaiserslautern, 2005. http://www.singular.uni-kl.de
    • (2005) Centre for Computer Algebra
    • Greuel, G.M.1    Pfister, G.2    Schönemann, H.3
  • 9
    • 77950917545 scopus 로고    scopus 로고
    • G. Pfister, W. Decker, H. Schönemann, S. Laplagne, primdec.lib, A Singular 3.0 library for computing primary decomposition and radical of ideals, 2005
    • G. Pfister, W. Decker, H. Schönemann, S. Laplagne, primdec.lib, A Singular 3.0 library for computing primary decomposition and radical of ideals, 2005
  • 10
    • 0038743174 scopus 로고    scopus 로고
    • The Sibirsky component of the center variety of polynomial differential systems
    • Jarrah A.S., Laubenbacher R., and Romanovski V. The Sibirsky component of the center variety of polynomial differential systems. J. Symbolic Comput. 35 (2003) 577-589
    • (2003) J. Symbolic Comput. , vol.35 , pp. 577-589
    • Jarrah, A.S.1    Laubenbacher, R.2    Romanovski, V.3
  • 11
    • 0345411935 scopus 로고    scopus 로고
    • The linearizable centers of time-reversible polynomial systems
    • Romanovski V.G. The linearizable centers of time-reversible polynomial systems. Progr. Theoret. Phys. Suppl. 150 (2003) 243-254
    • (2003) Progr. Theoret. Phys. Suppl. , Issue.150 , pp. 243-254
    • Romanovski, V.G.1
  • 12
    • 0001302034 scopus 로고    scopus 로고
    • Integrability of a linear center perturbed by a fifth degree homogeneous polynomial
    • Chavarriga J., and Giné J. Integrability of a linear center perturbed by a fifth degree homogeneous polynomial. Publ. Mat. 41 2 (1997) 335-356
    • (1997) Publ. Mat. , vol.41 , Issue.2 , pp. 335-356
    • Chavarriga, J.1    Giné, J.2
  • 14
    • 4544359686 scopus 로고    scopus 로고
    • Cubic systems of nonlinear oscillations with seven limit cycles
    • English translation: Differential Equations 39 (4) (2003) 505-516
    • Sadovskii A.P. Cubic systems of nonlinear oscillations with seven limit cycles. Differ. Uravn. 39 4 (2003) 472-481 English translation: Differential Equations 39 (4) (2003) 505-516
    • (2003) Differ. Uravn. , vol.39 , Issue.4 , pp. 472-481
    • Sadovskii, A.P.1
  • 16
    • 0032350636 scopus 로고    scopus 로고
    • The solution of the 1 : - 2 resonant center problem in the quadratic case
    • Fronville A., Sadovski A.P., and Żoła̧dek H. The solution of the 1 : - 2 resonant center problem in the quadratic case. Fund. Math. 157 (1998) 191-207
    • (1998) Fund. Math. , vol.157 , pp. 191-207
    • Fronville, A.1    Sadovski, A.P.2    Zoła̧dek, H.3
  • 18
    • 0002965602 scopus 로고
    • P-adic reconstruction of rational numbers
    • Wang P.S., Guy M.J.T., and Davenport J.H. P-adic reconstruction of rational numbers. SIGSAM Bull. 16 2 (1982) 2-3
    • (1982) SIGSAM Bull. , vol.16 , Issue.2 , pp. 2-3
    • Wang, P.S.1    Guy, M.J.T.2    Davenport, J.H.3
  • 19
    • 34249330965 scopus 로고    scopus 로고
    • Linearizability of linear systems perturbed by fifth degree homogeneous polynomials
    • Romanovski V.G., Chen X., and Hu Z. Linearizability of linear systems perturbed by fifth degree homogeneous polynomials. J. Phys. A 40 (2007) 5905-5919
    • (2007) J. Phys. A , vol.40 , pp. 5905-5919
    • Romanovski, V.G.1    Chen, X.2    Hu, Z.3
  • 20
    • 0038743196 scopus 로고    scopus 로고
    • Modular algorithms for computing Gröbner bases
    • Arnold E.A. Modular algorithms for computing Gröbner bases. J. Symbolic Comput. 35 4 (2003) 403-419
    • (2003) J. Symbolic Comput. , vol.35 , Issue.4 , pp. 403-419
    • Arnold, E.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.