메뉴 건너뛰기




Volumn 10, Issue 2, 1996, Pages 165-174

On the global convergence characteristics of numerically evaluated jacobian matrices: Technical note

Author keywords

Differential equations; Fixed points; Newton raphson

Indexed keywords

BIFURCATION (MATHEMATICS); CONVERGENCE OF NUMERICAL METHODS; DYNAMICS; MATHEMATICAL TECHNIQUES; NUMERICAL METHODS; OSCILLATORS (ELECTRONIC);

EID: 0030165803     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00045455     Document Type: Article
Times cited : (4)

References (11)
  • 1
    • 0024767447 scopus 로고
    • Production of computational portraits of bounded invariant manifolds
    • Alexander, N. A., 'Production of computational portraits of bounded invariant manifolds', Journal of Sound and Vibration 135, 1989, 63-77.
    • (1989) Journal of Sound and Vibration , vol.135 , pp. 63-77
    • Alexander, N.A.1
  • 2
    • 0015373005 scopus 로고
    • A computer algorithm to determine the steady-state response of nonlinear oscillators
    • Aprille T. J. and Trick, T. N., 'A computer algorithm to determine the steady-state response of nonlinear oscillators', IEEE Transactions Circuit Theory 19, 1972, 354-360.
    • (1972) IEEE Transactions Circuit Theory , vol.19 , pp. 354-360
    • Aprille, T.J.1    Trick, T.N.2
  • 3
    • 0024091796 scopus 로고
    • On the computation of domains of attraction during the dynamic modelling of oscillating systems
    • Bishop, S. R., Virgin, L. N., and Leung, D. L. M., 'On the computation of domains of attraction during the dynamic modelling of oscillating systems', Applied Mathematical Modelling 12, 1988, 503-516.
    • (1988) Applied Mathematical Modelling , vol.12 , pp. 503-516
    • Bishop, S.R.1    Virgin, L.N.2    Leung, D.L.M.3
  • 5
    • 0001755071 scopus 로고
    • AUTO: A program for automatic bifurcation analysis of autonomous system
    • Doedel E., 'AUTO: A program for automatic bifurcation analysis of autonomous system', Congressive Numeration 30, 1981, 265-284.
    • (1981) Congressive Numeration , vol.30 , pp. 265-284
    • Doedel, E.1
  • 6
    • 45949119761 scopus 로고
    • Computation, continuation, and bifurcation of torus solutions for dissipative maps and ordinary differential equations
    • Kaas-Petersen, C., 'Computation, continuation, and bifurcation of torus solutions for dissipative maps and ordinary differential equations', Physica 25D, 1987, 288-306.
    • (1987) Physica , vol.25 D , pp. 288-306
    • Kaas-Petersen, C.1
  • 7
    • 0025430480 scopus 로고
    • Simple process equations, fixed point methods, and chaos
    • Lucia, A., Guo, X., Richey, P. J., and Derebail, R., 'Simple process equations, fixed point methods, and chaos', AIChE Journal 36, 1990, 641-654.
    • (1990) AIChE Journal , vol.36 , pp. 641-654
    • Lucia, A.1    Guo, X.2    Richey, P.J.3    Derebail, R.4
  • 8
    • 0027675644 scopus 로고
    • Convergence of a relaxed Newton's method for cubic equations
    • McLaughlin, J. B., 'Convergence of a relaxed Newton's method for cubic equations', Computers in Chemical Engineering 17, 1993, 971-983.
    • (1993) Computers in Chemical Engineering , vol.17 , pp. 971-983
    • McLaughlin, J.B.1
  • 9
    • 84939735258 scopus 로고
    • Chaos: A tutorial for engineers
    • Parker, T. S. and Chua, L. O., 'Chaos: A tutorial for engineers', Proceedings of the IEEE 75(8), 1987, 982-1008.
    • (1987) Proceedings of the IEEE , vol.75 , Issue.8 , pp. 982-1008
    • Parker, T.S.1    Chua, L.O.2
  • 11
    • 0001255682 scopus 로고
    • Superstructure in the bifurcation set of the Duffing equation
    • Parlitz, U. and Lauterborn, W., 'Superstructure in the bifurcation set of the Duffing equation', Physics Letters 107A(8), 1985, 351-355.
    • (1985) Physics Letters , vol.107 A , Issue.8 , pp. 351-355
    • Parlitz, U.1    Lauterborn, W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.