Advanced Studies in Nonlinear Dynamical Systems

This book is a compilation of select chapter from the 2023 International Conference on Nonlinear Science and Complexity. It presents recent advancements, discoveries, and ongoing research in various facets of nonlinear science and complexity. The book covers a broad scope of topics, including nonlinear dynamical systems, complex systems, quantum sensing, and mathematical approaches in biological and economic models. Key subspecialties addressed include nonlinear differential equations, modeling of nonlinear processes in diverse fields such as biology and economics, and innovative computational techniques. Each chapter contributes unique insights into its respective field, providing theoretical analyses, practical applications, and numerical simulations to advance the understanding of complex nonlinear phenomena.

Dumitru Baleanu is a Professor at the Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon. Dumitru Baleanu got his PhD from the Institute of Atomic Physics in 1996. His fields of interest include the fractional dynamics and its applications, fractional differential equations and their applications, discrete mathematics, image processing, bio-informatics, mathematical biology, mathematical physics, soliton theory, Lie symmetry, dynamic systems on time scales, computational complexity, the wavelet method and its applications, quantization of systems with constraints, the Hamilton-Jacobi formalism, geometries admitting generic and non-generic symmetries. Dumitru Baleanu is co-author of more than 25 books published by Springer, Elsevier and World Scientific. Dumitru Baleanu is member of several editorial boards of journals inxed in SCI.

Mustafa BAYRAM received his PhD in Applied Mathematics and Computer Science from the University of Bath, UK. He became an associate professor in applied mathematics in 2000 and a full professor in the same field in 2005. Throughout his career, he has worked at various universities and is currently serving as a professor in the Department of Computer Engineering at Biruni University. His research interests include computer algebra, the application of computer algebra techniques to various fields, applied mathematics, solutions of differential equations, enzyme kinetics, and mathematical biology. He has supervised many master's and doctoral students and has published numerous articles and books related to his research areas. Additionally, he serves as editor-in-chief or editor for many scientific journals.

Aydın Seçer is a Professor in the Department of Mathematical Engineering at Yildiz Technical University, Istanbul, Turkey. He holds a Ph.D. in Computer Science with a strong foundation in applied mathematics. His research interests span differential equations, optical solitons, computational mathematics, and artificial intelligence. Dr. Seçer’s academic contributions include the development of advanced numerical methods and algorithms for solving nonlinear models, particularly in the context of Schrödinger equations and soliton behaviors.

In addition to his research, he has extensive experience in teaching, mentoring graduate students, and leading interdisciplinary projects. He has also developed several software solutions in areas such as database systems, web-based applications, and scientific programming. Dr. Seçer is actively involved in international collaborations and regularly contributes to the advancement of mathematics and computer science through publications and conferences.