Introduction to Numerical Bifurcation Analysiss of ODEs
Yu.A. Kuznetsov (Utrecht University)

LECTURE SLIDES:
Lecture 1 (background bifurcation theory - read if necessary)
Lecture 2 (26-07-2011)
Lecture 3 (27-07-2011)
Lecture 4 (28-07-2011)
Lecture 5 (29-07-2011)

COMPUTER SESSIONS:
Tutorial I (25-07-2011)
Tutorial II (26-07-2011)
Tutorial III (27-07-2011)
Tutorial IV (28-07-2011)
Tutorial V (29-07-2011)

TO INSTALL your personal copy of the MATLAB bifurcation toolbox MatCont:
    (a) put the file matcont3p4.zip to the Desktop.   
    (b) extract all files from  matcont3p4.zip into the directory matcont on the Desktop.

LITERATURE:

Beyn, W.-J., Champneys, A., Doedel, E., Govaerts, W., Kuznetsov, Yu.A., and Sandstede, B.
Numerical continuation, and computation of normal forms.
In: B. Fiedler (ed.) "Handbook of Dynamical Systems", v.2, Elsevier Science, North-Holland, 2002,  149-219

Doedel, E.J., Govaerts, W., and Kuznetsov, Yu.A.
Computation of periodic solution bifurcations in ODEs using bordered systems.
SIAM J. Numer. Anal. 41 (2003), 401-435

Dhooge, A., Govaerts,  W., and  Kuznetsov, Yu.A.
MATCONT: A MATLAB package for numerical bifurcation analysis of ODEs.
ACM Trans. Math. Software  29 (2003), 141 - 164

Govaerts, W., Kuznetsov, Yu.A., and Dhooge, A.
Numerical continuation of bifurcations of limit cycles in MATLAB.
SIAM J. Sci. Comp. 27 (2005), 231-252

Kuznetsov, Yu. A. , Govaerts, W. , Doedel, E. J., and Dhooge, A.
Numerical periodic normalization for codim 1 bifurcations of limit cycles.
SIAM J. Numer. Anal. 43 (2005), 1407-1435

Dhooge, A. , Govaerts, W.,  Kuznetsov, Yu.A.,  Meijer, H.G.E.,  and  Sautois, B.
New features of the software MatCont for bifurcation analysis of dynamical systems.
Mathematical and Computer Modelling of Dynamical Systems 14 (2008), 145-17

Doedel, E.J., Kooi, B.W., van Voorn, G.A.K. , and Kuznetsov, Yu.A.
Continuation of connecting orbits in 3D-ODEs: (I) Point-to-cycle connections.
Int. J. Bifurcation & Chaos 18 (2008), 1889-1903

Doedel, E.J., Kooi, B.W., van Voorn, G.A.K. , and Kuznetsov, Yu.A.
Continuation of connecting orbits in 3D-ODEs: (II) Cycle-to-cycle connections.
Int. J. Bifurcation & Chaos 19 (2009), 159-169