About Me
Yuri Kouznetsov holds the part-time chair Numerical Bifurcation Methods (NBM) in the Faculty EEMCS of the University of Twente.
Expertise
Engineering & Materials Science
# Bifurcation (Mathematics)
# Orbits
Mathematics
# Ambiguous
# Bifurcation
# Bistability
# Homoclinic
# Human Perception
# Visual Perception
Organisations
Publications
Recent
Spek, L. (2023).
Analysis of Dynamics of Neural Fields and Neural Networks. [PhD Thesis - Research UT, graduation UT, University of Twente]. University of Twente.
https://doi.org/10.3990/1.9789036554824
Lentjes, B.
, Spek, L., Bosschaert, M. M.
, & Kuznetsov, Y. A. (2022).
Periodic Center Manifolds and Normal Forms for DDEs in the Light of Suns and Stars. (pp. 1-59).
Govaerts, W.
, Kuznetsov, Y. A.
, Meijer, H. G. E., Neirynck, N.
, & van Wezel, R. J. A. (2021).
Bistability and Stabilization of Human Visual Perception under Ambiguous Stimulation.
Nonlinear Dynamics, Psychology, and Life Sciences,
25(3), 297-307.
Bosschaert, M. M.
, Janssens, S. G.
, & Kuznetsov, Y. A. (2020).
Switching to nonhyperbolic cycles from codimension two bifurcations of equilibria of delay differential equations.
SIAM journal on applied dynamical systems,
19(1), 252-303.
https://doi.org/10.1137/19M1243993
Spek, L.
, Kuznetsov, Y. A.
, & van Gils, S. A. (2020).
Neural field models with transmission delays and diffusion.
Journal of mathematical neuroscience,
10, [21].
https://doi.org/10.1186/s13408-020-00098-5
Kalia, M.
, Kouznetsov, I. A.
, & Meijer, H. G. E. (2019).
Homoclinic saddle to saddle-focus transitions in 4D systems.
Nonlinearity,
32(6), 2024-2054.
https://doi.org/10.1088/1361-6544/ab0041
Kouznetsov, I. A.
, & Meijer, H. G. E. (2019).
Numerical Bifurcation Analysis of Maps: From Theory to Software. (Cambridge Monographs on Applied and Computational Mathematics; Vol. 34). Cambridge University Press.
Al-Hdaibat, B., Govaerts, W., van Kekem, D. L.
, & Kuznetsov, Y. A. (2018).
Remarks on homoclinic structure in Bogdanov-Takens map.
Journal of difference equations and applications,
24(4), 575-587.
https://doi.org/10.1080/10236198.2017.1329894
Neirynck, N., Govaerts, W.
, Kouznetsov, I. A.
, & Meijer, H. G. E. (2018).
Numerical Bifurcation Analysis of Homoclinic Orbits Embedded in One-Dimensional Manifolds of Maps.
ACM transactions on mathematical software,
44(3), [25].
https://doi.org/10.1145/3134443
UT Research Information System
Courses Academic Year 2022/2023
Courses in the current academic year are added at the moment they are finalised in the Osiris system. Therefore it is possible that the list is not yet complete for the whole academic year.
Courses Academic Year 2021/2022
Contact Details
Visiting Address
University of Twente
Faculty of Electrical Engineering, Mathematics and Computer Science
Zilverling
(building no. 11), room 3058
Hallenweg 19
7522NH Enschede
The Netherlands
Mailing Address
University of Twente
Faculty of Electrical Engineering, Mathematics and Computer Science
Zilverling
3058
P.O. Box 217
7500 AE Enschede
The Netherlands