Cl_matcont: A continuation toolbox in Matlab

Proceedings of the ACM Symposium on Applied Computing

Volumn , Issue , 2003, Pages 161-166

  Dhooge, A ^a   Govaerts, W ^a   Kuznetsov, Yu A ^b   Mestrom, W ^b   Riet, A M ^b  

^a GHENT UNIVERSITY   (Belgium)

^b UTRECHT UNIVERSITY   (Netherlands)

Author keywords

Bifurcation; Continuation; Matlab

Indexed keywords

ALGORITHMS; BIFURCATION (MATHEMATICS); BOUNDARY VALUE PROBLEMS; MATRIX ALGEBRA; NONLINEAR EQUATIONS; VECTORS;

LIMIT CYCLES;

COMPUTER PROGRAM LISTINGS;

EID: 0038337011     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (9)

1. E.L. Allgower and K. Georg, Numerical Continuation Methods: An introduction, Springer-Verlag, 1990
2. W.J. Beyn, A. Champneys, E. Doedel, W. Govaerts, Yu.A. Kuznetsov, and B. Sandstede, Numerical continuation and computation of normal forms. In: B. Fiedler, G. Iooss, and N. Kopell (eds.) "Handbook of Dynamical Systems: Vol 2", Elsevier 2002, pp 149-219.
3. E. J. Doedel, A. R. Champneys, T. F. Fairgrieve, Yu. A. Kuznetsov, B. Sandstede and X. J. Wang, AUTO97: Continuation and Bifurcation Software for Ordinary Differential Equations (with HomCont), User's Guide, Concordia University, Montreal, Canada 1997. (http://indy.cs.concordia.ca).
4. W.J.F. Govaerts, Numerical Methods for Bifurcations of Dynamical Equilibria, SIAM, 2000
5. Yu.A. Kuznetsov, Elements of Applied Bifurcation Theory, Springer-Verlag, 1998
6. Yu.A. Kuznetsov and V.V. Levitin, CONTENT: Integrated Evironment for analysis of dynamical systems. CWI, Amsterdam 1997: ftp://ftp.cwi.nl/pub/CONTENT
7. W. Mestrom, Continuation of limit cycles in MATLAB, Master Thesis, Mathematical Institute, Utrecht University, The Netherlands, 2002.
8. A. Riet, A Continuation Toolbox in MATLAB, Master Thesis, Mathematical Institute, Utrecht University, The Netherlands, 2000.
9. D. Roose et al., Aspects of continuation software, in: Continuation and Bifurcations: Numerical Techniques and Applications, (eds. D. Roose, B. De Dier and A. Spence), NATO ASI series, Series C, Vol. 313, Kluwer 1990, pp. 261-268