6 papers
Stochastic Spatial Metapopulation Modelling of HPAI Control and Poultry Restocking on Jolly Island
Hammed O. Fatoyinbo, Indranil Ghosh, Parul Tiwari +3
Highly pathogenic avian influenza (HPAI) outbreaks require rapid control during active transmission and evidence-based decisions on the safe restocking of depopulated farms. We dev…
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…
Time series analysis of coupled slow-fast neuron models: From Hurst exponent to Granger causality
Indranil Ghosh, Hammed O. Fatoyinbo, Sishu S. Muni
We perform time series analysis of small networks where every node is the slow-fast version of the denatured Morris--Lecar neuron proposed by Schaeffer and Cain. We choose popular…
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…