25 citations · 44 across the 15 of their papers we have counts for
15 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 graz…
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…
Robust chaos in
Indranil Ghosh, David J. W. Simpson
We treat -dimensional piecewise-linear continuous maps with two pieces, each of which has exactly one unstable direction, and identify an explicit set of sufficient conditions f…
Dynamical properties of a small heterogeneous chain network of neurons in discrete time
Indranil Ghosh, Anjana S. Nair, Hammed Olawale Fatoyinbo +1
We propose a novel nonlinear bidirectionally coupled heterogeneous chain network whose dynamics evolve in discrete time. The backbone of the model is a pair of popular map-based ne…
On the higher-order smallest ring star network of Chialvo neurons under diffusive couplings
Anjana S. Nair, Indranil Ghosh, Hammed O. Fatoyinbo +1
We put forward the dynamical study of a novel higher-order small network of Chialvo neurons arranged in a ring-star topology, with the neurons interacting via linear diffusive coup…
The bifurcation structure within robust chaos for two-dimensional piecewise-linear maps
Indranil Ghosh, Robert I. McLachlan, David J. W. Simpson
We study two-dimensional, two-piece, piecewise-linear maps having two saddle fixed points. Such maps reduce to a four-parameter family and are well known to have a chaotic attracto…
Robust chaos in orientation-reversing and non-invertible two-dimensional piecewise-linear maps
Indranil Ghosh, Robert I. McLachlan, David J. W. Simpson
This paper concerns the two-dimensional border-collision normal form -- a four-parameter family of piecewise-linear maps generalising the Lozi family and relevant to diverse applic…
On the analysis of a time varying noise-modulated heterogeneous coupled network of Chialvo neurons under the influence of electromagnetic flux
Indranil Ghosh, Sishu Shankar Muni, Hammed Olawale Fatoyinbo
We perform a numerical study on the application of electromagnetic flux on a heterogeneous network of Chialvo neurons represented by a ring-star topology. Heterogeneities are reali…
Numerical bifurcation analysis of improved denatured Morris-Lecar neuron model
Hammed Olawale Fatoyinbo, Sishu Shankar Muni, Indranil Ghosh +2
It is well-known that the electrical activities of neurons are induced by a wide variety of external factors. This work considers the effect of electromagnetic induction on improve…
Dynamical effects of electromagnetic flux on Chialvo neuron map: nodal and network behaviors
Sishu Shankar Muni, Hammed Olawale Fatoyinbo, Indranil Ghosh
We consider the dynamical effects of electromagnetic flux on the discrete Chialvo neuron. It is shown that the model can exhibit rich dynamical behaviors such as multistability, fi…
Robust Devaney chaos in the two-dimensional border-collision normal form
Indranil Ghosh, David J. W. Simpson
The collection of all non-degenerate, continuous, two-piece, piecewise-linear maps on can be reduced to a four-parameter family known as the two-dimensional border-c…