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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]. DOI: 10.1145/3134443
Dijkstra, K., Kouznetsov, Y. A., van Putten, M. J. A. M., & van Gils, S. A. (2017). A Rate-Reduced Neuron Model for Complex Spiking Behavior. Journal of mathematical neuroscience, 7, [13]. DOI: 10.1186/s13408-017-0055-3
Al Hdaibat, B., Govaerts, W., Kouznetsov, I. A., & Meijer, H. G. E. (2016). Initialization of Homoclinic Solutions near Bogdanov-Takens Points: Lindstedt-Poincaré Compared with Regular Perturbation Method. SIAM journal on applied dynamical systems, 15(2), 952-980. DOI: 10.1137/15M1017491
Neirynck, N., Al-Hdaibat, B., Govaerts, W., Kouznetsov, I. A., & Meijer, H. G. E. (2016). Using MatContM in the study of a nonlinear map in economics. In International Workshop on Nonlinear Maps and Applications, NOMA '15 (pp. 012013). (Journal of Physics: Conference Series; Vol. 692, No. conference 1). Bristol: IOP. DOI: 10.1088/1742-6596/692/1/012013
Kouznetsov, I. A., Meijer, H. G. E., Al Hdaibat, B., & Govaerts, W. (2015). Accurate Approximation of Homoclinic Solutions in Gray-Scott Kinetic Model. International journal of bifurcation and chaos in applied sciences and engineering, 25(9), 1550125. DOI: 10.1142/S0218127415501254
de Witte, V., Govaerts, W., Kouznetsov, I. A., & Meijer, H. G. E. (2014). Analysis of bifurcations of limit cycles with Lyapunov exponents and numerical normal forms. Physica D, 269, 126-141. DOI: 10.1016/j.physd.2013.12.002
Kouznetsov, I. A., Meijer, H. G. E., Al Hdaibat, B., & Govaerts, W. (2014). Improved homoclinic predictor for Bogdanov-Takens bifurcation. International journal of bifurcation and chaos in applied sciences and engineering, 24(4), 1450057. DOI: 10.1142/S0218127414500576
van Gils, S. A., Janssens, S. G., Kouznetsov, I. A., & Visser, S. (2013). On local bifurcations in neural field models with transmission delays. Journal of mathematical biology, 66(4-5), 837-887. DOI: 10.1007/s00285-012-0598-6
Kouznetsov, I. A., & Kuznetsov, Y. (2013). Exploring borders of chaos. Enschede: Universiteit Twente.
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Faculteit Elektrotechniek, Wiskunde en Informatica
Zilverling
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Universiteit Twente
Faculteit Elektrotechniek, Wiskunde en Informatica
Zilverling
3058
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7500 AE Enschede