31 citations · 219 across the 36 of their papers we have counts for
36 papers
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…
Energy-dynamics interplay in temporal networks triggers explosive synchronization
Romuald Mbonwouo, Steve J. Kongni, Sishu Shankar Muni +4
Synchronization in networks of coupled oscillators is a fundamental problem in the study of collective behavior. In this paper, we investigate the synchronization transition in net…
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…
Discrete Lorenz Attractors in 3D Sinusoidal Maps
Sishu Shankar Muni
Discrete Lorenz attractors can be found in three-dimensional discrete maps. Discrete Lorenz attractors have similar topology to that of the continuous Lorenz attractor exhibited by…
Effect of Levy noise on the network of coupled Chialvo neurons: Impact of topology
Swetha P, J. S Ram, D. S. Varghese +9
This research investigates the complex spatiotemporal behaviors of Chialvo neuron maps under the influence of Levy noise on three different network topologies that is a ring networ…
DICOM Compatible, 3D Multimodality Image Encryption using Hyperchaotic Signal
Anandik N Anand, Sishu Shankar Muni, Abhishek Kaushik
Medical image encryption plays an important role in protecting sensitive health information from cyberattacks and unauthorized access. In this paper, we introduce a secure and robu…
Path planning for multi-quadrotor 3D boundary surveillance using non-autonomous discrete memristor hyperchaotic system
Harisankar R, Abhishek Kaushik, Sishu Shankar Muni
Recent studies have shown that chaotic maps are well-suited for applications requiring unpredictable behaviour, making them a valuable tool for enhancing unpredictability and compl…
Torus and hyperchaos in 3D Lotka-Volterra map
Sishu Shankar Muni
In this study, we investigate the occurrence of a three-frequency quasiperiodic torus in a three-dimensional Lotka-Volterra map. Our analysis extends to the observation of a doubli…
Deep Learning for Prediction and Classifying the Dynamical behaviour of Piecewise Smooth Maps
Vismaya V S, Bharath V Nair, Sishu Shankar Muni
This paper explores the prediction of the dynamics of piecewise smooth maps using various deep learning models. We have shown various novel ways of predicting the dynamics of piece…
Deep Learning and Chaos: A combined Approach To Image Encryption and Decryption
Bharath V Nair, Vismaya V S, Sishu Shankar Muni +1
In this paper, we introduce a novel image encryption and decryption algorithm using hyperchaotic signals from the novel 3D hyperchaotic map, 2D memristor map, Convolutional Neural…
Pathways to hyperchaos in a three-dimensional quadratic map
Sishu Shankar Muni
This paper deals with various routes to hyperchaos with all three positive Lyapunov exponents in a three-dimensional quadratic map. The map under consideration displays strong hype…
Comparative Analysis of Predicting Subsequent Steps in Hénon Map
Vismaya V S, Alok Hareendran, Bharath V Nair +2
This paper explores the prediction of subsequent steps in Hénon Map using various machine learning techniques. The Hénon map, well known for its chaotic behaviour, finds applicatio…
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…
Role of coupling delay in oscillatory activity in autonomous networks of excitable neurons with dissipation
A. V. Bukh, I. A. Shepelev, E. M. Elizarov +3
We study numerically the effects of time delay in networks of delay-coupled excitable FitzHugh Nagumo systems with dissipation. The generation of periodic self-sustained oscillatio…
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…
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…
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,…
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…
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…
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…
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…