메뉴 건너뛰기




Volumn 36, Issue 4, 2001, Pages 671-677

Linearization criteria for a system of second-order ordinary differential equations

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL COMPLEXITY; LINEARIZATION; MATHEMATICAL TRANSFORMATIONS; ORDINARY DIFFERENTIAL EQUATIONS; THEOREM PROVING;

EID: 0035372795     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7462(00)00032-9     Document Type: Article
Times cited : (65)

References (15)
  • 1
    • 85001635471 scopus 로고
    • Ph.D. Thesis, State University of New York, Stony Brook
    • T. Sen, Ph.D. Thesis, State University of New York, Stony Brook, 1987.
    • (1987)
    • Sen, T.1
  • 2
    • 0033479664 scopus 로고    scopus 로고
    • Symmetries of Hamiltonian systems with two degrees of freedom
    • Damianou P.A., Sophocleous C. Symmetries of Hamiltonian systems with two degrees of freedom. J. Math. Phys. 40(1):1999;210-235.
    • (1999) J. Math. Phys. , vol.40 , Issue.1 , pp. 210-235
    • Damianou, P.A.1    Sophocleous, C.2
  • 3
    • 0041961167 scopus 로고
    • Klassification und Integration von gewöhnlichen Differentialgleichungen Zwischen x, y, die eine Gruppe von Transformationen gestatten, III
    • Lie S. Klassification und Integration von gewöhnlichen Differentialgleichungen Zwischen. x, y, die eine Gruppe von Transformationen gestatten, III Arch. for Math. VIII(4):1883;358-371.
    • (1883) Arch. for Math. , vol.8 , Issue.4 , pp. 358-371
    • Lie, S.1
  • 4
    • 34250603285 scopus 로고
    • Sur les Invariants Différentiels des Groupes Continus de Transformations
    • Tresse A.R. Sur les Invariants Différentiels des Groupes Continus de Transformations. Acta Math. 18:1894;1-88.
    • (1894) Acta Math. , vol.18 , pp. 1-88
    • Tresse, A.R.1
  • 5
    • 0025494888 scopus 로고
    • Symmetry Lie algebras on n th order ordinary differential equations
    • Mahomed F.M., Leach P.G.L. Symmetry Lie algebras on. n th order ordinary differential equations J. Math. Anal. Appl. 151:1990;80-107.
    • (1990) J. Math. Anal. Appl. , vol.151 , pp. 80-107
    • Mahomed, F.M.1    Leach, P.G.L.2
  • 6
    • 0001149405 scopus 로고
    • Équations différentielles linéaires d'ordre n>2 ayant une Algèbre de Lie de Symmetrie de Dimension n+4
    • Krause J., Michel L. Équations différentielles linéaires d'ordre. n>2 ayant une Algèbre de Lie de Symmetrie de Dimension n+4 C. R. Acad. Sci. SérI. 307:1988;905-910.
    • (1988) C. R. Acad. Sci. SérI. , vol.307 , pp. 905-910
    • Krause, J.1    Michel, L.2
  • 8
    • 0039491011 scopus 로고
    • Lie point symmetries for systems of second order linear ordinary differential equations
    • Gorringe V.M., Leach P.G.L. Lie point symmetries for systems of second order linear ordinary differential equations. Quaestiones Math. 11:1988;95-117.
    • (1988) Quaestiones Math. , vol.11 , pp. 95-117
    • Gorringe, V.M.1    Leach, P.G.L.2
  • 9
    • 85001542025 scopus 로고    scopus 로고
    • Symmetry breaking for a system of two linear second-order ordinary differential equations
    • to appear
    • C. Wafo Soh, F.M. Mahomed, Symmetry breaking for a system of two linear second-order ordinary differential equations, Nonlinear Dynamics (1999), to appear.
    • (1999) Nonlinear Dynamics
    • Wafo Soh, C.1    Mahomed, F.M.2
  • 10
    • 0009864208 scopus 로고
    • Symmetries of the time-dependent N -dimensional oscillator
    • Prince G.E., Eliezer C.J. Symmetries of the time-dependent. N -dimensional oscillator J. Phys. A. 13:1980;815-823.
    • (1980) J. Phys. a , vol.13 , pp. 815-823
    • Prince, G.E.1    Eliezer, C.J.2
  • 15
    • 0040215985 scopus 로고
    • Direct methods for the search of the second invariant
    • Hietarinta J. Direct methods for the search of the second invariant. Phys. Rep. 147:1987;87.
    • (1987) Phys. Rep. , vol.147 , pp. 87
    • Hietarinta, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.