Sanjay Kumar is an Assistant Professor at Amity University Patna (Bihar, India), with significant expertise in the domain of Applied Mathematics. He possesses a robust academic background in Mathematics, holding a PhD from Jamia Millia Islamia in 2017, an MPhil from University of Delhi in 2011, an MSc from Science College, Patna University in 2007 and BSc (Maths Hons) from TPS College Patna (Magadh University) in 2004. He has also qualified for the UGC-CSIR NET (National Eligibility Test for Assistant Professorship). With over 14 years of experience, he has engaged in a variety of tasks, including teaching, research and administrative responsibilities in academic settings throughout his career. He is passionate about staying up to date with the latest technologies. His scientific research activities includes Soft computing, Quantum computing, Chaos control and synchronization, Dynamical systems, Fractal dynamics, Mathematical modeling and Fuzzy modeling etc. He has delivered many Invit
EDUCATION
MSc, MPhil, PhD
RESEARCH, TEACHING, or OTHER INTERESTS
Multidisciplinary, Applied Mathematics, Control and Optimization, Modeling and Simulation
Quadratic Programming Problems and Its Solution Techniques With Neural Network Modeling Mintu Kumar Sah, Neha Varma, Sanjay Kumar Optimal Control Applications and Methods, 2025 This paper presents a study on quadratic programming problems (QPP) and introduces a new neural network model with feasibility analysis. The stability analysis of QPP using neural network modeling is also discussed. The proposed neural network model has a simple form, and its optimal feasibility for both primal and dual QP problems is established. The model demonstrates a good convergence rate with a minimal number of iterations, achieving a very fast convergence to the exact solutions of both the primal and dual QP problems. The optimal solutions for the original QP problem and its dual QPP are obtained. Finally, two simple numerical examples are simulated to illustrate the findings.
Hidden Attractors, Chaos Control and Synchronization in Two Fractional Systems Governed by Caputo–Fabrizio Derivatives A. E. Matouk, Monica Botros, Sanjay Kumar, A. B. Albidah Discrete Dynamics in Nature and Society, 2025 Two 3D systems that involve Caputo–Fabrizio fractional derivatives are discussed. A necessary and sufficient condition for achieving the local stability of an equilibrium state of a general 3D system is introduced. All the equilibria are used to stabilize the systems’ chaotic states using suitable linear feedback control gains. Chaos synchronization is obtained in the two 3D systems using suitable linear control functions. An adequate numerical scheme is used to discretize and simulate the two chaotic systems governed by Caputo–Fabrizio operators. Hence, varieties of complex dynamics are illustrated such as one‐scroll attractors, hidden periodic attractors, self‐excited and hidden chaotic attractors. Moreover, the bifurcation diagrams and attraction basins are carried out to simulate and illustrate the varieties of such chaotic dynamics, and hidden quasi‐periodic and chaotic attractors.
Synchronization of Chaotic Satellite Systems with Fractional Derivatives Analysis Using Feedback Active Control Techniques Sanjay Kumar, Amit Kumar, Pooja Gupta, Ram Pravesh Prasad, Praveen Kumar Symmetry, 2024 This research article introduces a novel chaotic satellite system based on fractional derivatives. The study explores the characteristics of various fractional derivative satellite systems through detailed phase portrait analysis and computational simulations, employing fractional calculus. We provide illustrations and tabulate the phase portraits of these satellite systems, highlighting the influence of different fractional derivative orders and parameter values. Notably, our findings reveal that chaos can occur even in systems with fewer than three dimensions. To validate our results, we utilize a range of analytical tools, including equilibrium point analysis, dissipative measures, Lyapunov exponents, and bifurcation diagrams. These methods confirm the presence of chaos and offer insights into the system’s dynamic behavior. Additionally, we demonstrate effective control of chaotic dynamics using feedback active control techniques, providing practical solutions for managing chaos in satellite systems.
Anti-synchronization Between Different Nonlinear Chaotic Systems Via Active Nonlinear Control Method Sanjay Kumar, Ram Pravesh Prasad Computational Intelligence for Data Analysis Volume 3 Optimization Techniques for Decision Making and Information Security, 2024 This research article establishes anti-synchronization between the three-dimensional non-identical nonlinear Chen-Lee, Lorenz-Stenflo and Liu-Chen chaotic systems via active nonlinear control techniques. Phase portraits of master and slave systems in the form of antisynchronization are investigated. The stability results are discussed by the stability theory of Lyapunov function. Anti-synchronization of chaotic Chen-Lee system and chaotic Lorenzstenflo systems as well as anti-synchronization of chaotic Chen-Lee and Liu-Chen systems have been established using active control methodologies. The active control method is more efficient to obtain the anti-synchronization between different chaotic systems. Numerical results are also discussed by the proposed method.
Analysis and Chaos Control and Synchronization of the Nonlinear Newton–Leipnik System Via Feedback Adaptive Control Techniques Sanjay Kumar, Ahmed E. Matouk, Praveen Kumar, Dharmendra Kumar Yadav, Ram Pravesh Prasad Journal of Uncertain Systems, 2023 This paper presents the system analysis and chaos control synchronization of the Newton–Leipnik system. Uniqueness and existence solutions (equilibrium points or fixed points) of Newton–Leipnik system have been discussed and local analysis of the system at each equilibrium points is studied. Lyapunov exponents and Kaplan–Yorke dimensions, bifurcation diagrams and poincare sections are analyzed and plotted to establish the presence of chaos in the system. Control feedback techniques are simulated in the nonlinear Newton–Leipnik system. Controlling chaos of systems to find the desired result are established. Synchronization methodologies of two identical integer-order Newton–Leipnik systems are yielded applying adaptive control technologies which have been verified through plotting the graphs of tracking the trajectories of master to slave systems, parameter identification results and synchronization of error dynamics diagrams of Newton–Leipnik systems. These findings offer valuable insights and tools applicable to various scientific and technological domains. These results highlight the originality of our study and deepen our understanding of chaos in Newton–Leipnik systems, offering practical applications and enhanced insights for researchers and scientists in chaos analysis.
T-S fuzzy modeling and synchronization of chaotic systems Journal of Uncertain Systems, 2016
RECENT SCHOLAR PUBLICATIONS
Chaotic dynamics and stability of quantum wave–particle entities in double-well potentials S Kumar, AK Tiwary, RP Prasad, C Nishad, AE Matouk, K Pal Indian Journal of Physics, 1-9 , 2026 2026
Hidden Attractors, Chaos Control and Synchronization in Two Fractional Systems Governed by Caputo–Fabrizio Derivatives ABA A. E. Matouk, Monica Botros, Sanjay Kumar Discrete Dynamics in Nature and Society 25, https://doi.org/10.1155/ddns/7471599 , 2025 2025
Chaos Analysis in Lowest Dimensional Fractional Order Satellite Systems and Its Control Techniques SK al. Empowering Solutions for Sustainable Future in Science and Technology 8, 63-71 , 2025 2025
Quadratic Programming Problems and Its Solution Techniques With Neural Network Modeling MK Sah, N Varma, S Kumar Optimal Control Applications and Methods 46 (2), 766-774 , 2025 2025 Citations: 1
Study of chaos and synchronization under the effect of Stokes drag in the circular restricted three-body problem SK Krishan Pal, Deepak Kumar Meena, Ajeet Singh , Awadhesh Kumar Poddar Goya Journal 18 , 2025 2025
Synchronization of chaotic satellite systems with fractional derivatives analysis using feedback active control techniques S Kumar, A Kumar, P Gupta, RP Prasad, P Kumar Symmetry 16 (10), 1319 , 2024 2024 Citations: 4
Large Language Models (LLM) for Disease Prediction, Diagnosis, and Healthcare Transformation L Kumari, S Kumar, RK Yadav, G Srivastava The International Conference on Recent Innovations in Computing, 43-50 , 2024 2024 Citations: 1
Anti-synchronization Between Different Nonlinear Chaotic Systems Via Active Nonlinear Control Method SKRP Prasad Optimization Techniques for Decision-making and Information Security … , 2024 2024
Analysis and chaos control and synchronization of the nonlinear Newton-Leipnik System via Feedback Adaptive Control Techniques S Kumar, AE Matouk, P Kumar, RPP Yadav, Dharmendra Kumar Journal of Uncertain Systems , 2023 2023 Citations: 7
Role of multiplicity in examination oriented teaching destroying mathematics quality education ABY Dharmendra Kumar Yadav, Sanjay Kumar, Laklalech Nadia Journal of Mathematics and Science Teacher 4 (2024 4(1)), 1-7 , 2023 2023
Analysis and chaos synchronization of Genesio–Tesi system applying sliding mode control techniques: S. Kumar et al. S Kumar, RP Prasad, C Nishad, AK Tiwary, F Khan International Journal of Dynamics and Control 11 (2), 656-665 , 2023 2023 Citations: 10
Controlling and synchronization of chaotic systems via Takagi–Sugeno fuzzy adaptive feedback control techniques S Kumar, A Khan Journal of Control, Automation and Electrical Systems 32 (4), 842-852 , 2021 2021 Citations: 9
Chaotic Dynamics and Chaos Control in a Fractional‐Order Satellite Model and Its Time‐Delay Counterpart AM Sayed, AE Matouk, S Kumar, V Ali, L Bachioua Discrete Dynamics in Nature and Society 2021 (1), 5542908 , 2021 2021 Citations: 14
Control and synchronization of fractional‐order chaotic satellite systems using feedback and adaptive control techniques S Kumar, AE Matouk, H Chaudhary, S Kant International journal of adaptive control and signal processing , 2020 2020 Citations: 91
Synchronization of fractional-order hyperchaotic finance systems using sliding mode control techniques S Kumar, RP Prasad, K Pal, MP Pal, A Singh Advanced Applications of Fractional Differential Operators to Science and … , 2020 2020 Citations: 2
Synchronization of fractional order Rabinovich-Fabrikant systems using sliding mode control techniques SK al. Archives of control sciences 29 (2) , 2019 2019 Citations: 10
T-S fuzzy modeling and predictive control and synchronization of chaotic satellite systems AKS Kumar International Journal of Modelling and Simulation 11 (11), 11 , 2019 2019 Citations: 56
Analysis and time-delay synchronisation of chaotic satellite systems A Khan, S Kumar Pramana 91 (4), 49 , 2018 2018 Citations: 15
Measure of chaos and adaptive synchronization of chaotic satellite systems AKS Kumar International Journal of Dynamics and Control , 2018 2018 Citations: 28
Measuring chaos and synchronization of chaotic satellitesystems using sliding mode control AKS Kumar Optim Control Appl Meth. 2018;1–13., https://doi.org/10.1002/oca.2428 , 2018 2018 Citations: 43
MOST CITED SCHOLAR PUBLICATIONS
Control and synchronization of fractional‐order chaotic satellite systems using feedback and adaptive control techniques S Kumar, AE Matouk, H Chaudhary, S Kant International journal of adaptive control and signal processing , 2020 2020 Citations: 91
T-S fuzzy modeling and predictive control and synchronization of chaotic satellite systems AKS Kumar International Journal of Modelling and Simulation 11 (11), 11 , 2019 2019 Citations: 56
Measuring chaos and synchronization of chaotic satellitesystems using sliding mode control AKS Kumar Optim Control Appl Meth. 2018;1–13., https://doi.org/10.1002/oca.2428 , 2018 2018 Citations: 43
Measure of chaos and adaptive synchronization of chaotic satellite systems AKS Kumar International Journal of Dynamics and Control , 2018 2018 Citations: 28
Study of chaos in chaotic satellite systems A Khan, S Kumar Pramana 90 (1), 13 , 2018 2018 Citations: 23
Analysis and time-delay synchronisation of chaotic satellite systems A Khan, S Kumar Pramana 91 (4), 49 , 2018 2018 Citations: 15
Chaotic Dynamics and Chaos Control in a Fractional‐Order Satellite Model and Its Time‐Delay Counterpart AM Sayed, AE Matouk, S Kumar, V Ali, L Bachioua Discrete Dynamics in Nature and Society 2021 (1), 5542908 , 2021 2021 Citations: 14
Analysis and chaos synchronization of Genesio–Tesi system applying sliding mode control techniques: S. Kumar et al. S Kumar, RP Prasad, C Nishad, AK Tiwary, F Khan International Journal of Dynamics and Control 11 (2), 656-665 , 2023 2023 Citations: 10
Synchronization of fractional order Rabinovich-Fabrikant systems using sliding mode control techniques SK al. Archives of control sciences 29 (2) , 2019 2019 Citations: 10
T–S fuzzy observed based design and synchronization of chaotic and hyper-chaotic dynamical systems A Khan, S Kumar International Journal of Dynamics and Control 6 (3), 1409-1419 , 2018 2018 Citations: 10
Controlling and synchronization of chaotic systems via Takagi–Sugeno fuzzy adaptive feedback control techniques S Kumar, A Khan Journal of Control, Automation and Electrical Systems 32 (4), 842-852 , 2021 2021 Citations: 9
Anti-synchronization of chaotic financial systems by using fuzzy logic constant controller A Khan, S Kumar Indian Journal of Industrial and Applied Mathematics 7 (2), 136-147 , 2016 2016 Citations: 8
Analysis and chaos control and synchronization of the nonlinear Newton-Leipnik System via Feedback Adaptive Control Techniques S Kumar, AE Matouk, P Kumar, RPP Yadav, Dharmendra Kumar Journal of Uncertain Systems , 2023 2023 Citations: 7
TS fuzzy modeling and synchronization of chaotic systems A Khan, S Kumar Journal of Uncertain Systems 10 (4), 251-259 , 2016 2016 Citations: 7
Synchronization of chaotic satellite systems with fractional derivatives analysis using feedback active control techniques S Kumar, A Kumar, P Gupta, RP Prasad, P Kumar Symmetry 16 (10), 1319 , 2024 2024 Citations: 4
Synchronization of fractional-order hyperchaotic finance systems using sliding mode control techniques S Kumar, RP Prasad, K Pal, MP Pal, A Singh Advanced Applications of Fractional Differential Operators to Science and … , 2020 2020 Citations: 2
Quadratic Programming Problems and Its Solution Techniques With Neural Network Modeling MK Sah, N Varma, S Kumar Optimal Control Applications and Methods 46 (2), 766-774 , 2025 2025 Citations: 1
Large Language Models (LLM) for Disease Prediction, Diagnosis, and Healthcare Transformation L Kumari, S Kumar, RK Yadav, G Srivastava The International Conference on Recent Innovations in Computing, 43-50 , 2024 2024 Citations: 1
Chaotic dynamics and stability of quantum wave–particle entities in double-well potentials S Kumar, AK Tiwary, RP Prasad, C Nishad, AE Matouk, K Pal Indian Journal of Physics, 1-9 , 2026 2026
Hidden Attractors, Chaos Control and Synchronization in Two Fractional Systems Governed by Caputo–Fabrizio Derivatives ABA A. E. Matouk, Monica Botros, Sanjay Kumar Discrete Dynamics in Nature and Society 25, https://doi.org/10.1155/ddns/7471599 , 2025 2025
