31 citations · 80 across the 11 of their papers we have counts for
13 papers
Limit Cycles Appearing from a Generalized Heteroclinic Loop with an Elementary Saddle and a Nilpotent Saddle by Perturbing Piecewise Hamiltonian Systems
Zhou Jin, Zhouchao Wei, Sishu Shankar Muni
In this paper, we study limit cycle bifurcations for a class of general near-Hamiltonian systems near a heteroclinic loop with an elementary saddle and a nilpotent saddle. Firstly,…
Route to chaos and chimera states in a network of memristive Hindmarsh-Rose neuron model with external excitation
Sishu Shankar Muni, Zeric Tabekoueng Njitacke, Cyrille Feudjio +2
In this paper, we have introduced and investigated the collective behavior of a network of memristive Hindmarsh-Rose (HR) neurons. The proposed model was built considering the memr…
Dynamical Model of Mild Atherosclerosis: Applied Mathematical Aspects
Debasmita Mukherjee, Sishu Shankar Muni, Hammed Olawale Fatoyinbo
Atherosclerosis is a chronic inflammatory disease occurs due to plaque accumulation in the inner artery wall. In atherosclerotic plaque formation monocytes and macrophages play a s…
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…
Unfolding globally resonant homoclinic tangencies
Sishu Shankar Muni, Robert I. McLachlan, David J. W. Simpson
Global resonance is a mechanism by which a homoclinic tangency of a smooth map can have infinitely many asymptotically stable, single-round periodic solutions. To understand the bi…
Discrete hybrid Izhikevich neuron model: nodal and network behaviours considering electromagnetic flux coupling
Sishu Shankar Muni, Karthikeyan Rajagopal, Anitha Karthikeyan +1
We analyse the dynamics of the improved discretised version of the well known Izhikevich neuronmodel under the action of external electromagnetic field. It is found that the three-…