The Department of Mathematics and Statistics proudly welcomes Fullbright Scholar, Dr. Amina Aicha Khennaoui and congratulates her on her outstanding academic achievements and international research leadership in applied mathematics, nonlinear dynamics, and fractional-order systems. Dr. Amina Aicha Khennaoui is an Assistant Professor at University of Constantine 2, Constantine, Algeria. She received her Ph.D. in applied mathematics from the University of Oum El-Bouaghi in 2021, in Algeria. She earned her master’s degree in partial differential equations in mathematics from the University of Frères Mentouri Constantine 1, in 2017. Her research interest includes the use of discrete fractional calculus on chaotic maps described by difference equations and their application. During her stay at Florida Atlantic University, Dr. Khennaoui will work on linear time-invariant dynamical systems, with a focus on the duality between indecomposable single-input systems and almost completely controllable systems, and on clarifying and making the theory more accessible. Her Fulbright appointment represents a major academic distinction and reflects the University of Constantine 2 and Florida Atlantic University’s growing global reputation for excellence in scientific research and innovation. As part of the Fullbright Scholarship application process, Dr. Amina Aicha Khennaoui chose Dr. Marcus Schmidmeier, professor of Mathematics at Florida Atlantic University, as her mentor. Dr. Schmidmeier will play a central and multifaceted role as her mentor, supporting both the academic mission and the cultural exchange goals of the Fullbright Scholarship program. Dr. Khennaoui is an internationally respected researcher whose work explores the mathematics of chaos, control, synchronization, and complexity in discrete-time systems with memory. Her research has important applications in engineering, cybersecurity, artificial intelligence, financial modeling, and intelligent systems.
A Researcher at the Forefront of Mathematical Innovation Dr. Khennaoui earned her doctorate with a dissertation entitled “Chaos, Control Synchronization of Discrete Fractional Systems,” a pioneering contribution to the field of fractional discrete-time dynamical systems. Her work investigates how memory effects — modeled through fractional calculus — fundamentally alter the behavior of nonlinear systems, leading to new forms of chaos, multi-stability, and synchronization. She was a core member of the national university research project PRFU (2018–2021) and completed an international research internship at the University of Nice–Sophia Antipolis in France.
International Research Excellence and Impact Dr. Khennaoui has authored and co-authored more than 45 peer-reviewed journal articles and over 20 international conference papers published in leading scientific journals, including:
Her research has introduced novel fractional maps, uncovered hidden chaotic attractors, and developed advanced control and synchronization methods. Several of her studies also explore chaos-based encryption, memristive systems, and fractional neural networks for secure communications and intelligent technologies. She currently serves as a reviewer for major international journals including Nonlinear Dynamics, Chaos, Mathematics and Computers in Simulation, and Integration, and regularly contributes to global scientific conferences.
Academic Leadership and International Engagement Dr. Khennaoui has played a leading role in organizing and chairing major international scientific events, including:
Through these initiatives, she has helped strengthen international academic partnerships and promote Algeria as a growing hub for applied mathematics research.
Excellence in Teaching and Student Mentorship In addition to her research career, Dr. Khennaoui is a dedicated educator with extensive teaching experience at the University of Constantine 1 and 2. She has taught courses in:
She has instructed hundreds of undergraduate students and is widely recognized for her ability to explain complex mathematical concepts in an accessible and engaging way. During the COVID-19 pandemic, she successfully transitioned her courses to online platforms, ensuring continuity of high-quality instruction.
A Global Academic Ambassador Fluent in Arabic, French, and English, Dr. Khennaoui collaborates actively with researchers across Europe, Asia, and the Middle East. Her Fulbright scholarship reflects her commitment to academic diplomacy, international cooperation, and global knowledge exchange. Her success highlights the University of Constantine 2 and Florida Atlantic University’s strong commitment to research excellence, innovation, and internationalization. The Department of Mathematics and Statistics congratulates Dr. Amina Aicha Khennaoui on this prestigious achievement and wishes her continued success as a Fulbright Scholar.
