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Viewing Publication 1 - 33 from 33

2018

Numerical Bifurcation Analysis of Homoclinic Orbits Embedded in One-Dimensional Manifolds of MapsNiels Neirynck, Willy Govaerts, Yuri A. Kuznetsov, Hil G. E. Meijer. TOMS, 44(3), 2018. [doi]

2016

Initialization of Homoclinic Solutions near Bogdanov-Takens Points: Lindstedt-Poincaré Compared with Regular Perturbation MethodB. Al Hdaibat, Willy Govaerts, Yuri A. Kuznetsov, Hil G. E. Meijer. siamads, 15(2):952-980, 2016. [doi]

2015

Accurate Approximation of Homoclinic Solutions in Gray-Scott Kinetic ModelYuri A. Kuznetsov, Hil G. E. Meijer, B. Al Hdaibat, Willy Govaerts. IJBC, 25(9), 2015. [doi]

2014

2013

Numerical Periodic Normalization for Codim 2 Bifurcations of Limit Cycles: Computational Formulas, Numerical Implementation, and ExamplesVirginie De Witte, Fabio Della Rossa, Willy Govaerts, Yuri A. Kuznetsov. siamads, 12(2):722-788, 2013. [doi]

2012

Interactive Initialization and Continuation of Homoclinic and Heteroclinic Orbits in MATLABVirginie De Witte, Willy Govaerts, Yuri A. Kuznetsov, Mark J. Friedman. TOMS, 38(3):18, 2012. [doi]

2010

Computation of normal form coefficients of cycle bifurcations of maps by algorithmic differentiationJ. D. Pryce, R. Khoshsiar Ghaziani, V. De Witte, Willy Govaerts. mcs, 81(1):109-119, 2010. [doi]

2007

Numerical Methods for Two-Parameter Local Bifurcation Analysis of MapsWilly Govaerts, R. Khoshsiar Ghaziani, Yuri A. Kuznetsov, H. G. E. Meijer. siamsc, 29(6):2644-2667, 2007. [doi]

2006

Phase Response Curves, Delays and Synchronization in MatlabWilly Govaerts, Bart Sautois. iccS 2006: 391-398 [doi]

Computation of the Phase Response Curve: A Direct Numerical ApproachWilly Govaerts, Bart Sautois. neco, 18(4):817-847, 2006. [doi]

MATCONTWilly Govaerts, Yuri A. Kuznetsov, Bart Sautois. scholarpedia, 1(9):1375, 2006. [doi]

2005

Bifurcation Analysis of Large Equilibrium Systems in MatlabDavid Bindel, James Demmel, Mark J. Friedman, Willy Govaerts, Yuri A. Kuznetsov. iccS 2005: 50-57 [doi]

Numerical Continuation of Branch Points of Equilibria and Periodic orbitsEusebius J. Doedel, Willy Govaerts, Yuri A. Kuznetsov, Annick Dhooge. IJBC, 15(3):841-860, 2005. [doi]

Continuation of Homoclinic Orbits in MatlabMark J. Friedman, Willy Govaerts, Yuri A. Kuznetsov, Bart Sautois. iccS 2005: 263-270 [doi]

Bifurcation software in Matlab with applications in neuronal modelingWilly Govaerts, Bart Sautois. cmpb, 77(2):141-153, 2005. [doi]

The Onset and Extinction of Neural Spiking: A Numerical Bifurcation ApproachWilly Govaerts, Bart Sautois. jcns, 18(3):265-274, 2005. [doi]

Numerical Continuation of Bifurcations of Limit Cycles in MATLABWilly Govaerts, Yuri A. Kuznetsov, Annick Dhooge. siamsc, 27(1):231-252, 2005. [doi]

Numerical Periodic Normalization for Codim 1 Bifurcations of Limit CyclesYuri A. Kuznetsov, Willy Govaerts, Eusebius J. Doedel, Annick Dhooge. siamnum, 43(4):1407-1435, 2005. [doi]

2004

MATCONT: a Matlab package for numerical bifurcation analysis of ODEsAnnick Dhooge, Willy Govaerts, Yuri A. Kuznetsov. cca, 38(1):21-22, 2004. [doi]

Numerical Continuation of Branch Points of Limit Cycles in MATCONTAnnick Dhooge, Willy Govaerts, Yuri A. Kuznetsov. iccS 2004: 42-49 [doi]

2003

2002

Bifurcation, bursting and Spike Generation in a Neural ModelWilly Govaerts, Annick Dhooge. IJBC, 12(8):1731-1741, 2002. [doi]

2000

Numerical methods for bifurcations of dynamical equilibriaWilly Govaerts. SIAM, 2000.

Numerical Methods for the Generalized Hopf BifurcationWilly Govaerts, Yuri A. Kuznetsov, B. Sijnave. siamnum, 38(1):329-346, 2000. [doi]

1999

Numerical detection of symmetry breaking bifurcation points with nonlinear degeneraciesKlaus Böhmer, Willy Govaerts, Vladimír Janovský. moc, 68(227):1097-1108, 1999.

Bifurcations of Maps in the Software Package CONTENTWilly Govaerts, Yuri A. Kuznetsov, B. Sijnave. casc 1999: 191-206 [doi]

1998

Implementation of Hopf and Double-Hopf Continuation Using Bordering MethodsWilly Govaerts, Yuri A. Kuznetsov, B. Sijnave. TOMS, 24(4):418-436, 1998. [doi]

1997

Rank-deficient matrices as a computational toolWilly Govaerts, B. Sijnave. nla, 4(6):443-458, 1997. [doi]

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