Muhammad Marwan | Applied Mathematics | Best Researcher Award

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Assoc. Prof. Dr. Muhammad Marwan | Applied Mathematics | Best Researcher Award

Associate professor at Linyi university, China

Dr. Marwan Muhammad is a distinguished researcher in applied mathematics, specializing in bifurcation theory, chaos, fractals, mobile chaotic robots, control theory, synchronization, and secure communication. With an H-index of 11, he has published extensively in high-impact journals such as Fractals, Nonlinear Dynamics, and IEEE-IoT. Currently an Associate Professor at Linyi University, China, he has over a decade of teaching and research experience, including a postdoctoral fellowship at Zhejiang Normal University (ZJNU). His work integrates mathematical theory with practical applications in cryptography, robotics, and UAV dynamics. Dr. Muhammad has successfully supervised multiple Master’s students and collaborated on funded research projects. His global academic exposure, particularly in China and Pakistan, enhances his research perspective. While his contributions are significant, further international collaborations, industry engagement, and competitive research grants would solidify his standing as a leading expert in computational and applied mathematics.

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Education

Dr. Marwan Muhammad holds a Ph.D. in Applied Mathematics from the Institute of Space Technology, Pakistan, where he specialized in nonlinear dynamics and stability analysis. His doctoral research focused on applying nonlinear tools to chaotic systems. He earned an M.S. in Mathematics from COMSATS Institute of Information Technology, Pakistan, with a thesis on Fejér-Hadamard inequalities for convex functions. His academic journey began with a B.S. in Mathematics from Islamia College University, Peshawar, where he was awarded a Gold Medal for his outstanding performance. His early education includes an HSSC and SSC from the Peshawar Board, securing top grades. Throughout his academic career, Dr. Muhammad demonstrated a strong foundation in theoretical and applied mathematics, equipping him with the expertise needed to excel in research and teaching. His education has played a pivotal role in shaping his research trajectory, particularly in bifurcation theory, chaos, fractals, and control systems.

Professional Experience

Dr. Marwan Muhammad has over a decade of experience in academia and research. He is currently an Associate Professor at Linyi University, China, where he teaches and supervises research in applied mathematics. Previously, he completed a postdoctoral fellowship at Zhejiang Normal University (ZJNU), China, focusing on advanced topics in nonlinear dynamics. His professional journey includes serving as a Lecturer at Islamabad Model Postgraduate College, Riphah International University, and the Higher Education Department of Peshawar. His teaching portfolio covers a broad range of mathematical disciplines, including computational mathematics, dynamical systems, and mathematical modeling. Additionally, he has worked on a research project funded by the Higher Education Commission (HEC) of Pakistan, leading to several high-impact publications. His international exposure, particularly in China and Pakistan, has enriched his academic perspective, allowing him to integrate diverse mathematical techniques into his research and contribute significantly to the global scientific community.

Research Interest

Dr. Marwan Muhammad’s research focuses on nonlinear dynamics, bifurcation theory, chaos, fractals, control theory, synchronization, and secure communication. His work in mobile chaotic robots and multi-scroll attractors has applications in cryptography, robotics, and artificial intelligence. He is particularly interested in the mathematical modeling of complex systems, including UAV dynamics, plasma systems, and satellite chaotic systems. His contributions extend to fractional calculus, where he has analyzed tumor-immune interactions and porous medium equations. His research also explores numerical methods for solving chaotic systems, emphasizing computational efficiency and accuracy. Dr. Muhammad’s interdisciplinary approach integrates mathematics, physics, and engineering, leading to innovative solutions for real-world problems. His recent publications in journals like Fractals and Nonlinear Dynamics demonstrate his ability to bridge theoretical insights with practical applications, positioning him as a key contributor to the fields of computational and applied mathematics.

Awards and Honors

Dr. Marwan Muhammad has been recognized for his academic excellence and research contributions. He was awarded a Gold Medal for securing the highest distinction in his undergraduate studies at Islamia College University, Peshawar. His research has been published in prestigious journals, highlighting his impact in the field of applied mathematics. His contributions to nonlinear dynamics and chaotic systems have earned him invitations to collaborate on international research projects. Additionally, his supervision of Master’s students and successful research collaborations reflect his commitment to academic mentorship. His work has received recognition from funding agencies such as the Higher Education Commission (HEC) of Pakistan, under which he successfully led research projects. While his accolades are notable, continued participation in international awards, securing competitive research grants, and expanding collaborations with leading global institutions would further elevate his reputation as a distinguished researcher in computational and applied mathematics.

Conclusion

Dr. Marwan Muhammad is an accomplished mathematician whose research in nonlinear dynamics, chaos, and fractals has significantly contributed to applied mathematics. With a strong educational foundation, international research experience, and extensive teaching background, he has established himself as a key figure in computational mathematics. His work has practical applications in cryptography, robotics, and control systems, making it relevant to both academia and industry. While his publications and collaborations are impressive, expanding his research network, securing additional funding, and engaging in interdisciplinary projects could further enhance his impact. His dedication to mentoring students and advancing mathematical knowledge underscores his potential for continued success. With sustained efforts, Dr. Muhammad is poised to become a leading authority in his field, driving innovation and discovery in mathematical sciences.

Publications Top Noted

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

  • Retardational effect and Hopf bifurcations in a new attitude system of quad-rotor unmanned aerial vehicle
    Authors: M. Fiaz, M. Aqeel, M. Marwan, M. Sabir
    Year: 2021
    Citations: 11
    Source: International Journal of Bifurcation and Chaos, 31(09), 2150127

  • Control and numerical analysis for cancer chaotic system
    Authors: J. Iqbal, S. Ahmad, M. Marwan, M. Shaukat
    Year: 2020
    Citations: 11
    Source: Archive of Applied Mechanics, 90, 2597-2608

  • Image cryptography communication using FPAA-based multi-scroll chaotic system
    Authors: K. Karawanich, J. Chimnoy, F. Khateb, M. Marwan, P. Prommee
    Year: 2024
    Citations: 8
    Source: Nonlinear Dynamics, 112(6), 4951-4976

  • Hopf bifurcation analysis for liquid-filled gyrostat chaotic system and design of a novel technique to control slosh in spacecrafts
    Authors: M. Sabir, S. Ahmad, M. Marwan
    Year: 2021
    Citations: 8
    Source: Open Physics, 19(1), 539-550

  • Investigation of fractional-ordered tumor-immune interaction model via fractional-order derivative
    Authors: G. Ali, M. Marwan, U.U. Rahman, M. Hleili
    Year: 2024
    Citations: 7
    Source: Fractals, 32(06), 1-10

  • Generalized Full Order Observer Subject to Incremental Quadratic Constraint (IQC) for a Class of Fractional Order Chaotic Systems
    Authors: M. Marwan, M.Z. Abidin, H. Kalsoom, M. Han
    Year: 2022
    Citations: 7
    Source: Fractal and Fractional, 6(4), 189

  • Generation of multi-scrolls in coronavirus disease 2019 (COVID-19) chaotic system and its impact on the zero-COVID policy
    Authors: M. Marwan, M. Han, R. Khan
    Year: 2023
    Citations: 6
    Source: Scientific Reports, 13, 13954

  • Novel approaches for solving fuzzy fractional partial differential equations
    Authors: M. Osman, Y. Xia, M. Marwan, O.A. Omer
    Year: 2022
    Citations: 6
    Source: Fractal and Fractional, 6(11), 656

  • Montgomery identity and Ostrowski-type inequalities for generalized quantum calculus through convexity and their applications
    Authors: H. Kalsoom, M. Vivas-Cortez, M.Z. Abidin, M. Marwan, Z.A. Khan
    Year: 2022
    Citations: 6
    Source: Symmetry, 14(7), 1449

  • Adaptive observer design for systems with incremental quadratic constraints and nonlinear outputs—application to chaos synchronization
    Authors: L. Moysis, M. Tripathi, M.K. Gupta, M. Marwan, C. Volos
    Year: 2022
    Citations: 6
    Source: Archives of Control Sciences, 32

  • Mixed obstacle avoidance in mobile chaotic robots with directional keypads and its non-identical generalized synchronization
    Authors: M. Marwan, F. Li, S. Ahmad, N. Wang
    Year: 2025
    Citations: 5
    Source: Nonlinear Dynamics, 113(3), 2377-2390

  • Chaotic behavior of Lorenz-based chemical system under the influence of fractals
    Authors: M. Marwan, A. Xiong, M. Han, R. Khan
    Year: 2024
    Citations: 4
    Source: Match Communications in Mathematical and Computer Chemistry, 91(2), 307-336

  • Control analysis of virotherapy chaotic system
    Authors: J. Iqbal, S. Ahmad, M. Marwan, A. Rafiq
    Year: 2022
    Citations: 4
    Source: Journal of Biological Dynamics, 16(1), 585-595

  • Hidden covers (wings) in the fractals of chaotic systems using advanced Julia function
    Authors: M. Marwan, M. Han, M. Osman
    Year: 2023
    Citations: 3
    Source: Fractals, 31(09), 2350125

  • Generalized external synchronization of networks based on clustered pandemic systems—The approach of COVID-19 towards influenza
    Authors: M. Marwan, M. Han, R. Khan
    Year: 2023
    Citations: 3
    Source: PLOS ONE, 18(10), e0288796

  • Existence of Solution and Self‐Exciting Attractor in the Fractional‐Order Gyrostat Dynamical System
    Authors: M. Marwan, G. Ali, R. Khan
    Year: 2022
    Citations: 3
    Source: Complexity, 2022(1), 3505634

  • On the analytical approach of codimension-three degenerate Bogdanov-Takens (BT) bifurcation in satellite dynamical system
    Authors: M. Marwan, M.Z. Abidin
    Year: 2023
    Citations: 2
    Source: Journal of Nonlinear Modeling and Analysis

  • On the global well-posedness of rotating magnetohydrodynamics equations with fractional dissipation
    Authors: M.Z. Abidin, M. Marwan, H. Kalsoom, O.A. Omer
    Year: 2022
    Citations: 2
    Source: Fractal and Fractional, 6(6), 340

  • Semi-analytical analysis of a fractional-order pandemic dynamical model using non-local operator
    Authors: M. Marwan, G. Ali, F. Li, S.A.O. Abdallah, T. Saidani
    Year: 2025
    Source: Fractals

 

Franz Winkler | Computational Mathematics | Best Researcher Award

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Prof. Franz Winkler | Computational Mathematics | Best Researcher Award

Prof.emer. at RISC, Johannes Kepler University, Linz, Austria.

Franz Winkler is a distinguished mathematician and professor emeritus at the Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz. With a career spanning over four decades, he has made pioneering contributions to symbolic and algebraic computation, polynomial ideal theory, and theorem proving. He has held leadership roles, including Chairman of RISC and Dean of the School of Science and Technology. Recognized globally, he has been a visiting professor at esteemed institutions such as NYU, UC Berkeley, and the University of Sydney. His accolades include the prestigious Fulbright Scholarship and Promotio sub auspiciis praesidentis rei publicae, Austria’s highest academic honor. With extensive research collaborations across Europe, Asia, and the U.S., his work has significantly influenced computational mathematics. As an accomplished researcher, educator, and innovator, Winkler continues to shape the future of mathematical sciences through his profound contributions to algorithmic methods and computational algebra.

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Education

Franz Winkler pursued his higher education at Johannes Kepler University Linz, earning a Diplomingenieur (equivalent to an M.S.) in Mathematics in 1979 with a thesis on Gröbner bases. He further enriched his academic experience with graduate studies at Rensselaer Polytechnic Institute, New York, before obtaining his Ph.D. in Mathematics (Dr. techn.) from Johannes Kepler University in 1984. His doctoral research focused on the Church-Rosser property in computer algebra and theorem proving, laying the foundation for his future work in symbolic computation. In 1990, he achieved habilitation in Mathematics, an esteemed qualification in European academia, with a thesis on algorithmic methods in polynomial ideal theory and first-order terms. This strong mathematical and computational foundation enabled him to pioneer research in algebraic computation, making significant contributions to theoretical and applied mathematics, shaping the field of computer algebra, and influencing generations of researchers in symbolic computation.

Professional Experience

Franz Winkler has had an extensive and impactful career, beginning as a teaching and research assistant at Johannes Kepler University Linz and later at Rensselaer Polytechnic Institute. He held academic positions at prestigious institutions, including the University of Delaware, where he served as a Visiting Assistant Professor. Returning to Austria, he became an Assistant Professor at RISC, a leading center for symbolic computation, before rising to Associate Professor and Full Professor at the same institution. He served as Chairman of RISC (1999–2009) and later as Dean of the School of Science and Technology (2013–2015) at Johannes Kepler University. His leadership extended to departmental roles, including Speaker of the Department of Mathematics (2016–2019). Even after becoming Professor Emeritus in 2021, he remains active in research and international collaborations, fostering advancements in computer algebra, theorem proving, and computational mathematics.

Research Interests

Franz Winkler’s research primarily focuses on symbolic and algebraic computation, polynomial ideal theory, differential elimination, term rewriting systems, and theorem proving. His contributions to computer algebra have led to significant developments in Gröbner bases, differential algebra, and algorithmic methods in commutative algebra and algebraic geometry. His work extends into computational aspects of algebraic geometry, providing essential algorithms for solving systems of algebraic and differential equations. A strong advocate of automated reasoning, he has advanced term rewriting and equational theorem proving. His research has influenced numerous mathematical software systems and has applications in engineering, cryptography, and theoretical physics. With numerous international collaborations and visiting professorships, he continues to expand the frontiers of computational mathematics, ensuring its relevance in modern problem-solving. His interdisciplinary approach has cemented his reputation as a global leader in symbolic computation and its applications.

Awards and Honors

Franz Winkler has received numerous accolades for his outstanding contributions to mathematics and computer algebra. He was awarded the Fulbright Scholarship to pursue studies at Rensselaer Polytechnic Institute, an early recognition of his academic excellence. His Ph.D. was honored with the Promotio sub auspiciis praesidentis rei publicae, one of Austria’s highest academic distinctions, granted to students with exceptional academic performance throughout their studies. He was also named a Featured Reviewer in Computing Reviews (2006), further acknowledging his expertise and impact on the mathematical community. His global recognition is reflected in his extensive research collaborations with institutions across Europe, Asia, and the U.S.. Through these honors, he has established himself as a leading authority in symbolic computation, influencing mathematical research and its real-world applications.

Conclusion

Franz Winkler is an eminent mathematician, researcher, and academic leader whose contributions have shaped the field of symbolic computation and computer algebra. His work on Gröbner bases, differential elimination, and theorem proving has had far-reaching implications in both pure and applied mathematics. With a distinguished academic career spanning over four decades, he has mentored numerous researchers, led pioneering initiatives at RISC, and built international research networks. His prestigious awards and visiting professorships underscore his global influence. Even in his emeritus status, he remains a driving force in computational mathematics, continually advancing the field with innovative research. His legacy is one of intellectual leadership, groundbreaking research, and a lasting impact on the mathematical sciences.

Publications Top Noted

 

Ran Zhang | Applied Mathematics | Best Researcher Award

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Dr. Ran Zhang | Applied Mathematics | Best Researcher Award

Researcher at Nanjing University of Posts and Telecommunications, China

Ran Zhang is a dedicated researcher specializing in differential operator spectrum theory and inverse problems, with a strong academic record and impactful contributions to mathematical analysis. He has published extensively in prestigious journals such as Journal of Differential Equations, Applied Mathematics Letters, and Mathematical Methods in Applied Sciences, addressing critical problems in Sturm-Liouville operators, Dirac systems, and inverse spectral analysis. As the host of national research projects, including those funded by the National Natural Science Foundation of China and Jiangsu Provincial Natural Science Foundation of China, he has demonstrated leadership in advancing theoretical mathematics. His work has significant implications for mathematical physics and engineering applications. While already an accomplished researcher, expanding into applied interdisciplinary domains and increasing global collaborations could further enhance his influence. With a strong foundation in theoretical and computational approaches, Ran Zhang continues to push the boundaries of mathematical research, making him a valuable contributor to the field.

Professional Profile

Scopus Profile
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Education

Ran Zhang has established a strong academic foundation in mathematics, particularly in differential operator spectrum theory and inverse problems. His educational journey has been marked by rigorous training in advanced mathematical techniques, equipping him with the analytical and computational skills necessary for solving complex problems in spectral analysis. Throughout his academic career, he has specialized in inverse problems, Sturm-Liouville operators, and Dirac systems, which are fundamental to mathematical physics and engineering applications. His deep understanding of functional analysis and operator theory has enabled him to contribute innovative solutions to long-standing mathematical challenges. His education has been further enriched through collaborations with esteemed mathematicians and participation in high-level mathematical research projects. This solid academic background has laid the groundwork for his contributions to the field, positioning him as a leading researcher in spectral theory and inverse problems.

Professional Experience

Ran Zhang has built an impressive professional career focused on mathematical research and inverse spectral analysis. As a host of research projects funded by the National Natural Science Foundation of China and the Jiangsu Provincial Natural Science Foundation of China, he has played a pivotal role in advancing theoretical mathematics. His work has been recognized in esteemed mathematical journals, reflecting the high impact of his research in spectral theory, Sturm-Liouville operators, and discontinuous differential equations. He has actively contributed to solving complex mathematical challenges and has worked closely with research teams, collaborating with renowned mathematicians across institutions. His experience extends beyond academia, as his research has potential applications in engineering, quantum mechanics, and applied physics. His ability to bridge theoretical mathematics with practical applications makes him a distinguished figure in the field. As he progresses in his career, expanding into interdisciplinary research and mentoring young mathematicians could further solidify his professional legacy.

Research Interest

Ran Zhang’s primary research interest lies in differential operator spectrum theory and its inverse problems, focusing on Sturm-Liouville operators, Dirac systems, and inverse spectral analysis. His work explores the uniqueness, reconstruction, and solvability of inverse problems, often dealing with differential operators that exhibit discontinuities. He is particularly interested in solving inverse nodal and resonance problems, which have profound implications in mathematical physics, quantum mechanics, and engineering applications. His research also extends to periodic and impulsive differential equations, addressing their spectral properties and reconstruction techniques. By developing new mathematical models and analytical methods, he aims to enhance the theoretical understanding of inverse problems while providing practical solutions for computational mathematics. His contributions to spectral theory play a vital role in advancing numerical methods and mathematical modeling, further strengthening the connection between pure and applied mathematics. His future research aims to expand into multidisciplinary applications, fostering collaborations across physics, engineering, and computational sciences.

Awards and Honors

Ran Zhang’s research excellence has been recognized through several prestigious honors and awards. As the recipient of funding from the National Natural Science Foundation of China and the Jiangsu Provincial Natural Science Foundation of China, he has demonstrated his ability to lead impactful research projects. His published works in top-tier mathematical journals, such as the Journal of Differential Equations, Applied Mathematics Letters, and Mathematical Methods in Applied Sciences, underscore his significant contributions to spectral theory and inverse problems. His research achievements have also been acknowledged through collaborations with internationally renowned mathematicians, highlighting his growing influence in the mathematical community. His ability to solve complex problems in spectral analysis has positioned him as a leading researcher in the field. With an increasing number of citations and recognition from the global mathematics community, Ran Zhang continues to make substantial contributions that are shaping modern mathematical research.

Conclusion

Ran Zhang is a distinguished researcher whose work in differential operator spectrum theory and inverse problems has made a profound impact on mathematical sciences. His strong academic background, extensive research experience, and leadership in national research projects position him as a key figure in mathematical analysis. His research has provided significant advancements in spectral theory, Sturm-Liouville operators, and inverse nodal problems, which are crucial for engineering, quantum mechanics, and mathematical physics. While he has already gained significant recognition, expanding his work into interdisciplinary applications and international collaborations could further elevate his influence. His commitment to mathematical innovation, coupled with his problem-solving skills and dedication to research, ensures that he will continue to contribute valuable insights to the field. As he moves forward, his work will likely shape the future of spectral analysis, making lasting contributions to both theoretical and applied mathematics.

Publications Top Noted

  • Title: Inverse spectral problems for the Dirac operator with complex-valued weight and discontinuity
    Authors: Ran Zhang, Chuan-Fu Yang, Natalia P. Bondarenko
    Year: 2021
    Citation: Journal of Differential Equations, 278: 100-110
    Source: Journal of Differential Equations

  • Title: Uniqueness and reconstruction of the periodic Strum-Liouville operator with a finite number of discontinuities
    Authors: Ran Zhang, Kai Wang, Chuan-Fu Yang
    Year: 2024
    Citation: Applied Mathematics Letters, 147: 108853
    Source: Applied Mathematics Letters

  • Title: Uniqueness theorems for the impulsive Dirac operator with discontinuity
    Authors: Ran Zhang, Chuan-Fu Yang
    Year: 2022
    Citation: Analysis and Mathematical Physics, 12(1): 1-16
    Source: Analysis and Mathematical Physics

  • Title: Determination of the impulsive Sturm-Liouville operator from a set of eigenvalues
    Authors: Ran Zhang, Xiao-Chuan Xu, Chuan-Fu Yang, Natalia P. Bondarenko
    Year: 2020
    Citation: Journal of Inverse and Ill-posed Problems, 28(3): 341-348
    Source: Journal of Inverse and Ill-posed Problems

  • Title: Solving the inverse problems for discontinuous periodic Strum-Liouville operator by the method of rotation
    Authors: Ran Zhang, Kai Wang, Chuan-Fu Yang
    Year: 2024
    Citation: Results in Mathematics, 79(1): 49
    Source: Results in Mathematics

  • Title: Ambarzumyan-type theorem for the impulsive Sturm-Liouville operator
    Authors: Ran Zhang, Chuan-Fu Yang
    Year: 2021
    Citation: Journal of Inverse and Ill-posed Problems, 29(1): 21-25
    Source: Journal of Inverse and Ill-posed Problems

  • Title: Solvability of an inverse problem for discontinuous Sturm-Liouville operators
    Authors: Ran Zhang, Natalia P. Bondarenko, Chuan-Fu Yang
    Year: 2021
    Citation: Mathematical Methods in Applied Sciences, 44(1): 124-139
    Source: Mathematical Methods in Applied Sciences

  • Title: Reconstruction of the Strum-Liouville operator with periodic boundary conditions and discontinuity
    Authors: Ran Zhang, Chuan-Fu Yang
    Year: 2022
    Citation: Mathematical Methods in Applied Sciences, 45(8): 4244-4251
    Source: Mathematical Methods in Applied Sciences

  • Title: Determination of the impulsive Dirac systems from a set of eigenvalues
    Authors: Ran Zhang, Chuan-Fu Yang, Kai Wang
    Year: 2023
    Citation: Mathematics, 11(19): 4086
    Source: Mathematics

  • Title: Inverse nodal problem for the Sturm-Liouville operator with a weight
    Authors: Ran Zhang, Murat Sat, Chuan-Fu Yang
    Year: 2020
    Citation: Applied Mathematics – A Journal of Chinese Universities Series B, 35(2): 193-202
    Source: Applied Mathematics – A Journal of Chinese Universities Series B