메뉴 건너뛰기




Volumn 29, Issue 2, 2003, Pages 141-164

MATCONT: A MATLAB package for numerical bifurcation analysis of ODEs

Author keywords

Bifurcation; Dynamical system; Numerical continuation

Indexed keywords

DYNAMICAL SYSTEMS; HOPF POINTS; MATLAB SOFTWARE PACKAGE; NUMERICAL CONTINUATION;

EID: 8744230577     PISSN: 00983500     EISSN: None     Source Type: Journal    
DOI: 10.1145/779359.779362     Document Type: Article
Times cited : (1299)

References (27)
  • 1
    • 70350662980 scopus 로고    scopus 로고
    • Numerical path following
    • P. G. Ciarlet and J. L. Lions, Eds. North-Holland, Amsterdam, The Neatherlands
    • ALLGOWER, E. L. AND GEORG, K. 1996. Numerical path following. In Handbook of Numerical Analysis 5, P. G. Ciarlet and J. L. Lions, Eds. North-Holland, Amsterdam, The Neatherlands.
    • (1996) Handbook of Numerical Analysis , vol.5
    • Allgower, E.L.1    Georg, K.2
  • 3
    • 84968466504 scopus 로고
    • A collocation solver for mixed order systems of boundary value problems
    • ASCHER, U. M., CHRISTIANSEN, J., AND RUSSELL, R. D. 1979. A collocation solver for mixed order systems of boundary value problems. Math. Comp. 33, 146, 659-679.
    • (1979) Math. Comp. , vol.33 , Issue.146 , pp. 659-679
    • Ascher, U.M.1    Christiansen, J.2    Russell, R.D.3
  • 5
  • 7
    • 0000319158 scopus 로고
    • Collocation at Gaussian points
    • DE BOOR, C. AND SWARTZ, B. 1973. Collocation at Gaussian points. SIAM J. Numer. Anal. 10, 4, 582-606.
    • (1973) SIAM J. Numer. Anal. , vol.10 , Issue.4 , pp. 582-606
    • De Boor, C.1    Swartz, B.2
  • 11
    • 2342460324 scopus 로고    scopus 로고
    • Computation of periodic solution bifurcations in ODEs using bordered systems
    • To appear
    • DOEDEL, E., GOVAERTS, W., AND KUZNETSOV, YU. A. 2003. Computation of periodic solution bifurcations in ODEs using bordered systems. SIAM J. Numer. Anal. To appear.
    • (2003) SIAM J. Numer. Anal.
    • Doedel, E.1    Govaerts, W.2    Kuznetsov, Yu.A.3
  • 12
    • 0000378937 scopus 로고
    • Numerical analysis and control of bifurcation problems I : Bifurcation in finite dimensions
    • DOEDEL, E. J., KELLER, H. B., AND KERNÉVEZ, J. P. 1991. Numerical analysis and control of bifurcation problems I : Bifurcation in finite dimensions. Int. J. Bifurc. Chaos 1, 3, 493-520.
    • (1991) Int. J. Bifurc. Chaos , vol.1 , Issue.3 , pp. 493-520
    • Doedel, E.J.1    Keller, H.B.2    Kernévez, J.P.3
  • 13
    • 0039483059 scopus 로고    scopus 로고
    • Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL
    • ENGELBORGHS, K., LUZYANINA, T., AND ROOSE, D. 2002. Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL. ACM Trans. Math. Softw. 28, 1, 1-21.
    • (2002) ACM Trans. Math. Softw. , vol.28 , Issue.1 , pp. 1-21
    • Engelborghs, K.1    Luzyanina, T.2    Roose, D.3
  • 15
    • 0032255516 scopus 로고    scopus 로고
    • Implementation of Hopfand double Hopf continuation using bordering methods
    • GOVAERTS, W., KUZNETSOV, YU. A., AND SIJNAVE, B. 1998. Implementation of Hopfand double Hopf continuation using bordering methods. ACM Trans. Math. Softw. 24, 4, 418-436.
    • (1998) ACM Trans. Math. Softw. , vol.24 , Issue.4 , pp. 418-436
    • Govaerts, W.1    Kuznetsov, Yu.A.2    Sijnave, B.3
  • 18
    • 0036011529 scopus 로고    scopus 로고
    • Multiple parameter continuation: Computing implicitly defined k-manifolds
    • HENDERSON, M. 2002. Multiple parameter continuation: Computing implicitly defined k-manifolds. Int. J. Bifurcation Chaos 12, 3 451-476.
    • (2002) Int. J. Bifurcation Chaos , vol.12 , Issue.3 , pp. 451-476
    • Henderson, M.1
  • 19
    • 0000276399 scopus 로고
    • Numerical solution of bifurcation and nonlinear eigenvalue problems
    • Academic Press, New York, NY.
    • KELLER, H. B. 1977. Numerical solution of bifurcation and nonlinear eigenvalue problems. Applications of Bifurcation Theory. Academic Press, New York, NY., 359-384.
    • (1977) Applications of Bifurcation Theory , pp. 359-384
    • Keller, H.B.1
  • 20
    • 4544313738 scopus 로고
    • Continuation techniques and interactive software for bifurcation analysis of ODEs and iterated maps
    • KHEBNIK, A. I., KUZNETSOV, YU. A., LEVITEST, V. V., AND NIKOLAEV, E. V. 1993. Continuation techniques and interactive software for bifurcation analysis of ODEs and iterated maps. Physica D 62, 1-4, 360-371.
    • (1993) Physica D , vol.62 , Issue.1-4 , pp. 360-371
    • Khebnik, A.I.1    Kuznetsov, Yu.A.2    Levitest, V.V.3    Nikolaev, E.V.4
  • 21
    • 0003236870 scopus 로고
    • Elements of applied bifurcation theory
    • Springer-Verlag, New York, NY
    • KUZNETSOV, YU. A. 1995/1998. Elements of Applied Bifurcation Theory, Applied Mathematical Sciences 112. Springer-Verlag, New York, NY.
    • (1995) Applied Mathematical Sciences , vol.112
    • Kuznetsov, Yu.A.1
  • 23
    • 0038324776 scopus 로고    scopus 로고
    • Master's thesis. Mathematical Institute, Utrecht University, Utrecht, The Netherlands
    • MESTROM, W. 2002. Continuation of limit cycles in MATLAB. Master's thesis. Mathematical Institute, Utrecht University, Utrecht, The Netherlands.
    • (2002) Continuation of Limit Cycles in MATLAB
    • Mestrom, W.1
  • 25
    • 0038663419 scopus 로고    scopus 로고
    • Master's thesis. Mathematical Institute, Utrecht University, Utrecht, The Netherlands
    • RIET, A. 2000. A continuation toolbox in MATLAB. Master's thesis. Mathematical Institute, Utrecht University, Utrecht, The Netherlands.
    • (2000) A Continuation Toolbox in MATLAB
    • Riet, A.1
  • 26
    • 0002102436 scopus 로고
    • Adaptive mesh selection strategies for solving boundary value problems
    • RUSSELL, R. D. AND CHRISTIANSEN, J. 1978. Adaptive mesh selection strategies for solving boundary value problems. SIAM J. Numer. Anal. 15, 1, 59-80.
    • (1978) SIAM J. Numer. Anal. , vol.15 , Issue.1 , pp. 59-80
    • Russell, R.D.1    Christiansen, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.