메뉴 건너뛰기




Volumn 56, Issue 5, 1996, Pages 1363-1378

The moving singularities of the perturbation expansion of the classical Kepler problem

Author keywords

Kepler problem; Movable singularity; Perturbation methods; Singular complex periodic solution

Indexed keywords

ASTRONOMY; CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS; MATHEMATICAL TRANSFORMATIONS; PROBLEM SOLVING; TIME SERIES ANALYSIS;

EID: 0030269145     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/s0036139994267845     Document Type: Article
Times cited : (2)

References (11)
  • 2
    • 0021502380 scopus 로고
    • Perturbation analysis of the limit cycle of the free van der Pol equation
    • M. B. DADFAR, J. F. GEER, AND C. M. ANDERSEN, Perturbation analysis of the limit cycle of the free van der Pol equation, SIAM J. Appl. Math., 44 (1984), pp. 881-895.
    • (1984) SIAM J. Appl. Math. , vol.44 , pp. 881-895
    • Dadfar, M.B.1    Geer, J.F.2    Andersen, C.M.3
  • 3
    • 0025535518 scopus 로고
    • Singular complex periodic solutions of van der Pol's equation
    • C. HUNTER AND M. TAJDARI, Singular complex periodic solutions of van der Pol's equation, SIAM J. Appl. Math., 50 (1990), pp. 1764-1779.
    • (1990) SIAM J. Appl. Math. , vol.50 , pp. 1764-1779
    • Hunter, C.1    Tajdari, M.2
  • 4
    • 0000021416 scopus 로고
    • Power series expansions for the frequency and period of the limit cycle of the van der Pol equation
    • C. M. ANDERSEN AND J. F. GEER, Power series expansions for the frequency and period of the limit cycle of the van der Pol equation, SIAM J. Appl. Math., 42 (1982), pp. 678-693.
    • (1982) SIAM J. Appl. Math. , vol.42 , pp. 678-693
    • Andersen, C.M.1    Geer, J.F.2
  • 5
    • 0041590561 scopus 로고
    • On the construction of Poincaré-Lindstedt solutions: The nonlinear oscillator equation
    • P. J. MELVIN, On the construction of Poincaré-Lindstedt solutions: The nonlinear oscillator equation, SIAM J. Appl. Math., 33 (1977), pp. 161-194.
    • (1977) SIAM J. Appl. Math. , vol.33 , pp. 161-194
    • Melvin, P.J.1
  • 6
    • 4243089688 scopus 로고
    • On a nonlinear perturbation theory without secular terms
    • R. H. G. HELLEMAN AND E. W. MONTROLL, On a nonlinear perturbation theory without secular terms, Physica, 74 (1974), pp. 22-74.
    • (1974) Physica , vol.74 , pp. 22-74
    • Helleman, R.H.G.1    Montroll, E.W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.