60 citations · 300 across the 30 of their papers we have counts for
30 papers
Bifurcations of Neural Fields on the Sphere
Len Spek, Stephan A. van Gils, Yuri A. Kuznetsov +1
A common model to study pattern formation in large groups of neurons is the neural field. We investigate a neural field with excitatory and inhibitory neurons, like Wilson and Cowa…
Interplay between normal forms and center manifold reduction for homoclinic predictors near Bogdanov-Takens bifurcation
Maikel M. Bosschaert, Yuri A. Kuznetsov
This paper provides for the first time correct third-order homoclinic predictors in -dimensional ODEs near a generic Bogdanov-Takens bifurcation point. To achieve this, higher-o…
Bifurcations of heteroclinic contours in two-parameter planar systems: Overview and explicit examples
Yuri A. Kuznetsov, Joost Hooyman
Smooth planar vector fields containing two hyperbolic saddles may possess contours formed by heteroclinic connections between these saddles. We present an overview of the bifurcati…
Precise tomography of optical polarization qubits under conditions of chromatic aberration of quantum transformations
B. I. Bantysh, Yu. I. Bogdanov, N. A. Bogdanova +1
In this work we present an algorithm of building an adequate model of polarizing quantum state measurement. This model takes into account chromatic aberration of the basis change t…
Neural Field Models with Transmission Delays and Diffusion
Len Spek, Yuri A. Kuznetsov, Stephan A. van Gils
A neural field models the large scale behaviour of large groups of neurons. We extend results of van Gils et al. [2013] and Dijkstra et al. [2015] by including a diffusion term int…
Switching to nonhyperbolic cycles from codimension two bifurcations of equilibria of delay differential equations
Maikel M. Bosschaert, Sebastiaan G. Janssens, Yuri A. Kuznetsov
In this paper we perform the parameter-dependent center manifold reduction near the generalized Hopf (Bautin), fold-Hopf, Hopf-Hopf and transcritical-Hopf bifurcations in delay dif…