4 papers · 1 filter
Collective Phase Reorganization and Cluster Synchronization in Networks of Coupled Gumowski--Mira Maps
Hammed Olawale Fatoyinbo, Indranil Ghosh
We investigate the collective dynamics of networks composed of diffusively coupled Gumowski-Mira maps and analyze how modifications in the intrinsic dynamics of the local oscillato…
Resonant grazing bifurcations revisited
David J. W. Simpson, Indranil Ghosh
In vibro-impact mechanics, the division between an impact and a near miss is a zero-velocity grazing event. Grazing bifurcations of stable periodic motions often produce complicate…
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 gra…
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…