31 citations · 219 across the 36 of their papers we have counts for
10 papers · 1 filter
Numerical Transitivity and Numerical Leo Properties for Lorenz Maps with Applications to Courbage-Nekorkin-Vdovin Neuron Model
Rudrakshala Kavya Sri, Piotr Bartłomiejczyk, Sishu Shankar Muni
This research investigates the dynamic behavior of one dimensional discrete systems using two computational algorithms, the numerical transitivity and the numerical locally eventua…
Bifurcations of mode-locked periodic orbits in three-dimensional maps
Sishu Shankar Muni, Soumitro Banerjee
In this paper, we report the bifurcations of mode-locked periodic orbits occurring in maps of three or higher dimensions. The `torus' is represented by a closed loop in discrete ti…
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,…
Globally Resonant Homoclinic Tangencies
Sishu Shankar Muni
The attractors of a dynamical system govern its typical long-term behaviour. The presence of many attractors is significant as it means the behaviour is heavily dependent on the in…
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…
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…
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…
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…
Homoclinic tangencies with infinitely many asymptotically stable single-round periodic solutions
S. S. Muni, R. I. McLachlan, D. J. W. Simpson
We consider a homoclinic orbit to a saddle fixed point of an arbitrary map on and study the phenomenon that has an infinite family of asymptotical…