Dr. Muhammad Marwan

Dr. Muhammad Marwan

Assistant Professor

Qualifications:

PhD in Applied Mathematics (Nonlinear Dynamics) from Institute of Space Technology, Pakistan. 

Postdoc in the group of Prof. Dr. Maoan Han from Zhejiang Normal University, Jinhua, Zhejiang, China.

Research Interests:

  1. Dynamical systems of ODEs and PDEs 
  2. Bifurcation theory
  3. Chaos
  4. Fractals
  5. Julia functions
  6. Fractional-order system of ODEs
  7. Control theory
  8. Synchronization
  9. Applications in mobile chaotic robots, and Secure Communication

 

Papers Published in 2026

  1. Abidin, M. Z., & Marwan, M. (2026). Energy-norm optimal convergence of a structure-preserving predictor–projection Fourier–Galerkin method for the Brinkman–Poisson–Nernst–Planck system. Mathematics and Computers in Simulation.

  2. Abidin, M. Z., & Marwan, M. (2026). Sensitivity analysis and polynomial chaos approximation for the incompressible Keller–Segel–Navier–Stokes system. Communications in Nonlinear Science and Numerical Simulation, 110945.

  3. Gao, B., Shukur, A., Marwan, M., & Wang, N. (2026). On the complex dynamics of simple integer to fractional-order sine chaotic oscillators. Fractals, 34(01), 2550115.

  4. Liu, H., Li, F., Ali, G., & Marwan, M. (2026). Zero-Hopf bifurcation analysis in integer- and fractional-order energy supply-demand chaotic system. Fractals, 34(05), 2650023.

  5. Khan, A., Khan, T. S., Marwan, M., & Wang, L. (2026). Generating inner and outer fractals in an energy supply–demand system at the Hopf bifurcation point. Fractals, 34(05), 2650025.

  6. Yang, Y., Yang, J., Marwan, M., Cui, M., Wang, N., Bao, H., & Xu, Q. (2026). Algorithmic design of n-dimensional multifold system via cyclic fractal process. Mathematics and Computers in Simulation.

  7. Liu, H., Li, F., Marwan, M., & Li, H. (2026). The center problem for a class of quintic systems with Cassini ovals. Bulletin des Sciences Mathématiques, 103893.

  8. Zhang, X., Wang, J., Li, F., Li, H., & Marwan, M. (2026). Bogdanov-Takens bifurcation of a two species chemical reaction system and its stability using parameter identification. Networks and Heterogeneous Media, 21(2), 349–367.

  9. Yang, Y., Yang, J., Chen, C., & Marwan, M. (2026). Generating multistructure attractor via modified fractal with nonautonomous switching and chaotic path planning application. AEU-International Journal of Electronics and Communications, 156331.

  10. Khan, A., Khan, T. S., & Marwan, M. (2026). A dual-nested Julia technique for generating m×k² wings in chaotic systems and its implementation on robots navigating in complex environment. Fractals, 2650093.

  11. Wang, N., Li, M., Marwan, M., Gao, B., Bao, H., & Xu, Q. (2026). Coexistence of points, single-scroll, 1-D/2-D multi-scroll, and band-shaped hidden attractors. Nonlinear Dynamics, 114(14), 898.

  12. Khan, R., Lauer, M., & Marwan, M. (2026). District-level healthcare accessibility under flood-conditioned road network disruption in Pakistan. Spatial Information Research, 34(4), 34.

Papers Published in 2025

  1. Marwan, M., Li, F., Ahmad, S., & Wang, N. (2025). Mixed obstacle avoidance in mobile chaotic robots with directional keypads and its non-identical generalized synchronization. Nonlinear Dynamics, 113(3), 2377–2390.

  2. Marwan, M., Ali, G., Li, F., Abdallah, S. A. O., & Saidani, T. (2025). Semi-analytical analysis of a fractional-order pandemic dynamical model using non-local operator. Fractals, 33(05), 2550048.

  3. Marwan, M., Wang, N., Baig, D.-Z., & Li, F. (2025). Practical computation of higher codimension Bogdanov-Takens bifurcations in energy supply-demand system. Mathematics and Computers in Simulation.

  4. Li, F., Marwan, M., & Karawanich, K. (2025). On the bifurcations in a quadrotor unmanned aerial vehicle dynamical system using normal form theory. Nonlinear Dynamics, 113(7), 6405.

  5. Xing, G., Yinlai, J., Muhammad, M., Feng, L., & Yunlan, W. (2025). Impact of Hopf and Bautin bifurcations on an autocatalytic chemical reaction system. MATCH Communications in Mathematical and in Computer Chemistry, 94(3), 863–889.

  6. Wang, N., Cui, M., Marwan, M., Yang, Y., Bao, H., Iu, H. H.-C., & Xu, Q. (2025). Automatic design of multi-fold hyperchaotic system using parallel fractal algorithm. IEEE Transactions on Circuits and Systems II: Express Briefs.

Papers Published in 2024

  1. Marwan, M., Xiong, A., Han, M., & Khan, R. (2024). Chaotic behavior of Lorenz-based chemical system under the influence of fractals. MATCH Communications in Mathematical and in Computer Chemistry, 91(2), 307–336.

  2. Marwan, M., & Abidin, M. Z. (2024). On the analytical approach of codimension-three degenerate Bogdanov-Takens (BT) bifurcation in satellite dynamical system. Journal of Nonlinear Modeling and Analysis, 5(4), 667–681.

  3. Marwan, M., Han, M., Dai, Y., & Cai, M. (2024). The impact of global dynamics on the fractals of a quadrotor unmanned aerial vehicle (QUAV) chaotic system. Fractals, 32(02), 2450043.

  4. Karawanich, K., Chimnoy, J., Khateb, F., Marwan, M., & Prommee, P. (2024). Image cryptography communication using FPAA-based multi-scroll chaotic system. Nonlinear Dynamics, 112(6), 4951–4976.

  5. Ali, G., Marwan, M., Rahman, U. U., & Hleili, M. (2024). Investigation of fractional-ordered tumor-immune interaction model via fractional-order derivative. Fractals, 32(06), 2450119.

  6. Wang, N., Marwan, M., Yang, Y., Chen, X., Iu, H. H.-C., & Xu, Q. (2024). Designing nest-fold system via dual-route fractal process and application in chaotic mobile robot. IEEE Internet of Things Journal, 12(7), 9206–9217.

Papers Published in 2023

  1. Marwan, M., Han, M., & Khan, R. (2023). Generation of multi-scrolls in corona virus disease 2019 (COVID-19) chaotic system and its impact on the zero-covid policy. Scientific Reports, 13, 13954.

  2. Marwan, M., Han, M., & Khan, R. (2023). Generalized external synchronization of networks based on clustered pandemic systems—The approach of Covid-19 towards influenza. PLoS One, 18(10), e0288796.

  3. Marwan, M., Han, M., & Osman, M. (2023). Hidden covers (wings) in the fractals of chaotic systems using advanced Julia function. Fractals, 31(09), 2350125.

  4. Khan, R., Akbar, S., Khan, A., Marwan, M., Qaisar, Z. H., Mehmood, A., Shahid, F., Munir, K., & Zheng, Z. (2023). Dental image enhancement network for early diagnosis of oral dental disease. Scientific Reports, 13(1), 5312.

  5. Abidin, M. Z., & Marwan, M. (2023). On the global existence and analyticity of the mild solution for the fractional Porous medium equation. Boundary Value Problems, 2023(1), 107.

  6. Osman, M., Marwan, M., Shah, S. O., Loudahi, L., Samar, M., Bittaye, E., & Mohammed Mustafa, A. (2023). Local fuzzy fractional partial differential equations in the realm of fractal calculus with local fractional derivatives. Fractal and Fractional, 7(12), 851.

  7. Abidin, M. Z., Marwan, M., Ullah, N., & Mohamed Zidan, A. (2023). Well-posedness in variable-exponent function spaces for the three-dimensional micropolar fluid equations. Journal of Mathematics, 2023(1), 4083997.

Papers Published in 2022

  1. Marwan, M., Abidin, M. Z., Kalsoom, H., & Han, M. (2022). Generalized full order observer subject to incremental quadratic constraint (IQC) for a class of fractional order chaotic systems. Fractal and Fractional, 6(4), 189.

  2. Marwan, M., Dos Santos, V., Abidin, M. Z., & Xiong, A. (2022). Coexisting attractor in a gyrostat chaotic system via basin of attraction and synchronization of two nonidentical mechanical systems. Mathematics, 10(11), 1914.

  3. Marwan, M., Ali, G., & Khan, R. (2022). Existence of solution and self-exciting attractor in the fractional-order Gyrostat dynamical system. Complexity, 2022(1), 3505634.

  4. Fiaz, M., Aqeel, M., Marwan, M., & Sabir, M. (2022). Integer and fractional order analysis of a 3D system and generalization of synchronization for a class of chaotic systems. Chaos, Solitons & Fractals, 155, 111743.

  5. Moysis, L., Tripathi, M., Gupta, M. K., Marwan, M., & Volos, C. (2022). Adaptive observer design for systems with incremental quadratic constraints and nonlinear outputs—Application to chaos synchronization. Archives of Control Sciences, 32.

  6. Abidin, M. Z., Marwan, M., Kalsoom, H., & Omer, O. A. (2022). On the global well-posedness of rotating magnetohydrodynamics equations with fractional dissipation. Fractal and Fractional, 6(6), 340.

  7. Kalsoom, H., Vivas-Cortez, M., Abidin, M. Z., Marwan, M., & Khan, Z. A. (2022). Montgomery identity and Ostrowski-type inequalities for generalized quantum calculus through convexity and their applications. Symmetry, 14(7), 1449.

  8. Iqbal, J., Ahmad, S., Marwan, M., & Rafiq, A. (2022). Control analysis of virotherapy chaotic system. Journal of Biological Dynamics, 16(1), 585–595.

  9. Osman, M., Xia, Y., Marwan, M., & Omer, O. A. (2022). Novel approaches for solving fuzzy fractional partial differential equations. Fractal and Fractional, 6(11), 656.

Papers Published in 2021

  1. Fiaz, M., Aqeel, M., Marwan, M., & Sabir, M. (2021). Retardational effect and Hopf bifurcations in a new attitude system of quad-rotor unmanned aerial vehicle. International Journal of Bifurcation and Chaos, 31(09), 2150127.

  2. Sabir, M., Ahmad, S., & Marwan, M. (2021). Hopf bifurcation analysis for liquid-filled gyrostat chaotic system and design of a novel technique to control slosh in spacecrafts. Open Physics, 19(1), 539–550.

Papers Published in 2020

  1. Marwan, M., Mehboob, M., Ahmad, S., & Aqeel, M. (2020). Hopf bifurcation of forced Chen system and its stability via adaptive control with arbitrary parameters. Soft Computing, 24(6), 4333–4341.

  2. Marwan, M., & Ahmad, S. (2020). Bifurcation analysis for energy transport system and its optimal control using parameter self-tuning law. Soft Computing, 1–11.

  3. Sabir, M., Marwan, M., Ahmad, S., Fiaz, M., & Khan, F. (2020). Observer and descriptor satisfying incremental quadratic constraint for class of chaotic systems and its applications in a quadrotor chaotic system. Chaos, Solitons & Fractals, 137, 109874.

  4. Moysis, L., Petavratzis, E., Marwan, M., Volos, C., Nistazakis, H., & Ahmad, S. (2020). Analysis, synchronization, and robotic application of a modified hyperjerk chaotic system. Complexity, 2020(1), 2826850.

  5. Iqbal, J., Ahmad, S., Marwan, M., & Shaukat, M. (2020). Control and numerical analysis for cancer chaotic system. Archive of Applied Mechanics, 90(12), 2597–2608.

  6. Moysis, L., Gupta, M. K., Mishra, V., Marwan, M., & Volos, C. (2020). Observer design for rectangular descriptor systems with incremental quadratic constraints and nonlinear outputs—Application to secure communications. International Journal of Robust and Nonlinear Control, 30(18), 8139–8158.

Papers Published in 2019

  1. Marwan, M., Ahmad, S., Aqeel, M., & Sabir, M. (2019). Control analysis of Rucklidge chaotic system. Journal of Dynamic Systems, Measurement, and Control, 141(4), 041010.

Papers Published in 2016

  1. Farid, G., Marwan, M., & Rehman, A. U. (2016). Fejer-Hadamard inequality for convex functions on the coordinates in a rectangle from the plane. International Journal of Analysis and Applications, 10(1), 40–47.

Papers Published in 2015

  1. Farid, G., Marwan, M., & Rehman, A. U. (2015). New mean value theorems and generalization of Hadamard inequality via coordinated m-convex functions. Journal of Inequalities and Applications, 2015(1), 283.