activity
20202025
most citedRole of solitary states in forming spatiotemporal patterns in a 2D lattice of van der Pol oscillators

31 citations · 219 across the 36 of their papers we have counts for

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Showing 2022Show all

10 papers · 1 filter

nlin.AO2022★ 12 cited

Identification of single- and double-well coherence-incoherence patterns by the binary distance matrix

Vagner dos Santos, Matheus Rolim Sales, Sishu Shankar Muni +4

The study of chimera states or, more generally, coherence-incoherence patterns has led to the development of several tools for their identification and characterization. In this wo…

math.DS2022

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,…

nlin.AO2022★ 16 cited

Transition from chimera/solitary states to traveling waves

Elena Rybalova, Sishu Muni, Galina Strelkova

We study numerically the spatiotemporal dynamics in a ring network of nonlocally coupled nonlinear oscillators, each represented by a two-dimensional discrete-time model of the cla…

nlin.AO2022★ 27 cited

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…

math.DS2022★ 4 cited

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…

math.DS2022★ 25 cited

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…

math.DS2022

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…

q-bio.NC2022★ 29 cited

Complex dynamics of a heterogeneous network of Hindmarsh-Rose neurons

Zeric Tabekoueng Njitacke, Sishu Shankar Muni, Soumyajit Seth +2

In this contribution, we have considered the collective behavior of the two as well as the network of heterogeneous coupled Hindmarsh Rose (HR) neurons. The heterogeneous models we…

math.DS2022★ 1 cited

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…

math.DS2022★ 4 cited

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…