Ghent University Academic Bibliography

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Numerical bifurcation analysis of homoclinic orbits embedded in one-dimensional manifolds of maps

Niels Neirynck, Willy Govaerts (UGent) , Yuri A Kuznetsov and Hil GE Meijer

(2018) ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE. 44(3).
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- Journal Article
- A1
- open access
Initialization of homoclinic solutions near Bogdanov-Takens points : Lindstedt-Poincaré compared with regular perturbation method

Bashir Al-Hdaibat, Willy Govaerts (UGent) , Yuri A Kuznetsov and Hil GE Meijer

(2016) SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS. 15(2). p.952-980
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- Conference Paper
- P1
- open access
Using MatContM in the study of a nonlinear map in economics

Niels Neirynck, Bashir Al-Hdaibat (UGent) , Willy Govaerts (UGent) , Yuri A Kuznetsov and Hil GE Meijer

(2016) Journal of Physics Conference Series. 692.
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Accurate approximation of homoclinic solutions in Gray–Scott kinetic model

Yuri A Kuznetsov, Hil GE Meijer, Bashir Al-Hdaibat (UGent) and Willy Govaerts (UGent)

(2015) INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. 25(9).
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Analysis of bifurcations of limit cycles with Lyapunov exponents and numerical normal forms

Virginie De Witte, Willy Govaerts (UGent) , Yuri A Kuznetsov and Hil GE Meijer

(2014) PHYSICA D-NONLINEAR PHENOMENA. 269. p.126-141
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Numerical computation of bifurcations in large equilibrium systems in Matlab

D Bindel, M Friedman, Willy Govaerts (UGent) , J Hughes and Yuri A Kuznetsov

(2014) JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 261. p.232-248
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Numerical periodic normalization for codim 2 bifurcations of limit cycles : computational formulas, numerical implementation, and examples

Virginie De Witte, Fabio Della Rossa, Willy Govaerts (UGent) and Yuri A Kuznetsov

(2013) SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS. 12(2). p.722-788
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- Conference Paper
- C1
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A study of resonance tongues near a Chenciner bifurcation using MatContM

Willy Govaerts (UGent) , Yuri A Kuznetsov, Hil GE Meijer and Niels Neirynck

(2011) Proceedings of the 7th European Nonlinear Dynamics Conference (ENOC 2011).
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Numerical implementation of a homotopy method for computing homoclinic and heteroclinic orbits

Virginie De Witte, Willy Govaerts (UGent) and Yuri A Kuznetsov

(2010) Proceedings of USNCTAM2010. p.455-1-455-2

Academic Bibliography

Numerical bifurcation analysis of homoclinic orbits embedded in one-dimensional manifolds of maps

Initialization of homoclinic solutions near Bogdanov-Takens points : Lindstedt-Poincaré compared with regular perturbation method

Using MatContM in the study of a nonlinear map in economics

Accurate approximation of homoclinic solutions in Gray–Scott kinetic model

Analysis of bifurcations of limit cycles with Lyapunov exponents and numerical normal forms

Numerical computation of bifurcations in large equilibrium systems in Matlab

Numerical periodic normalization for codim 2 bifurcations of limit cycles : computational formulas, numerical implementation, and examples

A study of resonance tongues near a Chenciner bifurcation using MatContM

Numerical implementation of a homotopy method for computing homoclinic and heteroclinic orbits

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