17 citations · 31 across the 4 of their papers we have counts for
6 papers
A geometric analysis of the SIRS model with secondary infections
Panagiotis Kaklamanos, Andrea Pugliese, Mattia Sensi +1
We propose a compartmental model for a disease with temporary immunity and secondary infections. From our assumptions on the parameters involved in the model, the system naturally…
Entry-exit functions in fast-slow systems with intersecting eigenvalues
Panagiotis Kaklamanos, Christian Kuehn, Nikola Popović +1
We study delayed loss of stability in a class of fast-slow systems with two fast variables and one slow one, where the linearisation of the fast vector field along a one-dimensiona…
Complex oscillatory dynamics in a three-timescale El Niño Southern Oscillation model
Panagiotis Kaklamanos, Nikola Popović
We study the three-timescale dynamics of a model that describes the El Niño Southern Oscillation (ENSO) phenomenon, which was proposed in [A. Roberts, J. Guckenheimer, E. Widiasih,…
Geometric singular perturbation analysis of the multiple-timescale Hodgkin-Huxley equations
Panagiotis Kaklamanos, Nikola Popović, Kristian Uldall Kristiansen
We present a novel and global three-dimensional reduction of a non-dimensionalised version of the four-dimensional Hodgkin-Huxley equations [J. Rubin and M. Wechselberger, Giant sq…
Bifurcations of mixed-mode oscillations in three-timescale systems: an extended prototypical example
Panagiotis Kaklamanos, Nikola Popović, Kristian Uldall Kristiansen
We study a class of multi-parameter three-dimensional systems of ordinary differential equations that exhibit dynamics on three distinct timescales. We apply geometric singular per…
Regularization and geometry of piecewise smooth systems with intersecting discontinuity sets
P. Kaklamanos, K. Uldall Kristiansen
In this work, we study the dynamics of piecewise smooth systems on a codimension-2 transverse intersection of two codimension-1 discontinuity sets. The Filippov convention can be e…