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Volumn 120, Issue 2, 1998, Pages 299-304

Using chaos to obtain global solutions in computational kinematics

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; COMPUTATIONAL METHODS; NONLINEAR EQUATIONS; PROBLEM SOLVING; SENSITIVITY ANALYSIS;

EID: 0032096910     PISSN: 10500472     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2826972     Document Type: Article
Times cited : (19)

References (22)
  • 1
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    • Allgower, E. L., and Georg, K., 1980 “Simplicial and Continuation Methods for Approximating Fixed Points and Solutions to Systems of Equations,” SIAM Rev. Vol. 22, pp. 28-85.
    • (1980) SIAM Rev , vol.22 , pp. 28-85
    • Allgower, E.L.1    Georg, K.2
  • 5
    • 0003649545 scopus 로고
    • John Wiley & Sons, Chichester, England
    • Falconer, K., 1990 Fractal Geometry, John Wiley & Sons, Chichester, England.
    • (1990) Fractal Geometry
    • Falconer, K.1
  • 6
    • 0000888015 scopus 로고
    • Sur les equations fonctionelles
    • Fatou, M. P., 1919, “Sur les equations fonctionelles,” Dull. Soc. Math. France, 47, pp. 161-271.
    • (1919) Dull. Soc. Math. France , vol.47 , pp. 161-271
    • Fatou, M.P.1
  • 11
    • 0002413379 scopus 로고
    • Memoire sur Fiierafion des fonctions rationelles
    • Julia, G., 1918, “Memoire sur Fiierafion des fonctions rationelles,” J. Math. Pures Appl, Vol. 8, pp. 47-245.
    • (1918) J. Math. Pures Appl , vol.8 , pp. 47-245
    • Julia, G.1
  • 14
    • 0001733264 scopus 로고
    • A Homotopy for Solving General Polynomial Systems that Respects M-homogeneous Structures
    • Morgan, A. P., and Sommese, A. J., 1987a, “A Homotopy for Solving General Polynomial Systems that Respects M-homogeneous Structures,” Appl. Math. Comput., Vol. 24, pp. 101-103.
    • (1987) Appl. Math. Comput. , vol.24 , pp. 101-103
    • Morgan, A.P.1    Sommese, A.J.2
  • 15
    • 45949116959 scopus 로고
    • Computing All Solutions to Polynomial Systems Using Homotopy Continuation
    • Morgan, A. P., and Sommese, A. J., 1987b, “Computing All Solutions to Polynomial Systems Using Homotopy Continuation,” Appl. Math. Comput., Vol. 24, pp. 115-138.
    • (1987) Appl. Math. Comput. , vol.24 , pp. 115-138
    • Morgan, A.P.1    Sommese, A.J.2
  • 16
    • 0000241853 scopus 로고
    • Deterministic Non-periodic Flow
    • Lorenz, E. N., 1963, “Deterministic Non-periodic Flow,” J. Atmos. Sci. Vol. 20, pp. 130-141.
    • (1963) J. Atmos. Sci , vol.20 , pp. 130-141
    • Lorenz, E.N.1
  • 18
    • 0029321694 scopus 로고
    • Solving Polynomial Systems for the Kinematic Analysis and Synthesis of Mechanisms and Robot Manipulators
    • 50th Anniversary Design Issue
    • Raghavan, M., and Roth, B., 1995, “Solving Polynomial Systems for the Kinematic Analysis and Synthesis of Mechanisms and Robot Manipulators,” 50th Anniversary Design Issue, ASME JOURNAL OF MECHANICAL DESIGN, Vol. 117, pp. 71-79.
    • (1995) ASME JOURNAL OF MECHANICAL DESIGN , vol.117 , pp. 71-79
    • Raghavan, M.1    Roth, B.2
  • 19
    • 85025197290 scopus 로고
    • Synthesis of Path-Generating Mecha-nisms by Numerical Methods
    • Vol. 85B-3
    • Roth, B., and Freudenstein, F., 1963a, “Synthesis of Path-Generating Mecha-nisms by Numerical Methods,” ASME Journal of Engineering for Industry, Vol. 85B-3. pp. 289-306.
    • (1963) ASME Journal of Engineering for Industry , pp. 289-306
    • Roth, B.1    Freudenstein, F.2
  • 20
    • 84932572426 scopus 로고
    • Numerical Solution of Systems of Nonlinear Equations
    • Roth, B.t and Freudenstein, F., 1963b, “Numerical Solution of Systems of Nonlinear Equations,” J. Assoc. Computing Machinery, Vol. 10, pp. 550-556.
    • (1963) J. Assoc. Computing Machinery , vol.10 , pp. 550-556
    • Roth, B.T.1    Freudenstein, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.