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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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7 papers · 1 filter

nlin.AO2020★ 1 cited

Dynamics of a 2D lattice of van der Pol oscillators with nonlinear repulsive coupling

I. A. Shepelev, S. S. Muni, T. E. Vadivasova

We describe spatiotemporal patterns in a network of identical van der Pol oscillators coupled in a two-dimensional geometry. In this study, we show that the system under study demo…

nlin.AO2020★ 8 cited

Influence of Sodium Inward Current on Dynamical Behaviour of Modified Morris-Lecar Model

Hammed Olawale Fatoyinbo, Sishu Shankar Muni, Afeez Abidemi

This paper presents a modified Morris-Lecar model by incorporating the sodium inward current. The dynamical behaviour of the model in response to key parameters is investigated. Th…

nlin.AO2020★ 1 cited

Chimera states in ring-star network of Chua circuits

S. S. Muni, A. Provata

We investigate the emergence of amplitude and frequency chimera states in ring-star networks consisting of identical Chua circuits connected via nonlocal diffusive, bidirectional c…

nlin.AO2020★ 15 cited

Quantifying the transition from spiral waves to spiral wave chimeras in a lattice of self-sustained oscillators

I. A. Shepelev, A. V. Bukh, S. S. Muni +1

The present work is devoted to the detailed quantification of the transition from spiral waves to spiral wave chimeras in a network of self-sustained oscillators with two-dimension…

nlin.AO2020★ 31 cited

Role of solitary states in forming spatiotemporal patterns in a 2D lattice of van der Pol oscillators

I. A. Shepelev, A. V. Bukh, S. S. Muni +1

The behavior of the ensemble of coupled van der Pol oscillators is abundant when coupling parameters are changed. Incoherent and chimera-like regimes are observed at small values o…

nlin.CD2020★ 4 cited

A Study on the Synchronization Aspect of Star Connected Identical Chua Circuits

S. S. Muni, S. Padhee, K. C. Pati

This paper provides a study on the synchronization aspect of star connected identical chua's circuits. Different coupling such as conjugate coupling, diffusive coupling and mea…

math.DS2020

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…