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The VIVID function for numerically continuing periodic orbits arising from grazing bifurcations of hybrid dynamical systems
Indranil Ghosh, David J. W. Simpson
Periodic orbits of systems of ordinary differential equations can be found and continued numerically by following fixed points of Poincaré maps. However, this often fails near graz…
math.DS2025
Fractional order induced bifurcations in Caputo-type denatured Morris-Lecar neurons
Indranil Ghosh, Hammed Olawale Fatoyinbo
We set up a system of Caputo-type fractional differential equations for a reduced-order model known as the {\em denatured} Morris-Lecar (dML) neurons. This neuron model has a struc…