Dr. Florentin Paladi, Moldova State University, Department of Theoretical Physics, Chisinau, Moldova. Florentin Paladi is D.Sc., professor and former dean of the Faculty of Physics and Engineering and vice-rector for research at the Moldova State University (2012-2021). He earned a BSc diploma with distinction in Physics from Moldova State University in 1993, Ph.D. in Theoretical and Mathematical Physics in 1996, Doctor of Philosophy diploma in 1997, and D.Sc. in Physics and Mathematics in 2010. Laureate of the State Prize for outstanding young scientists in 1998. During the period of 1998-2002 he held a postdoctoral research position at the Tokyo Institute of Technology in Japan. In 2020 he founded the research laboratory Environmental Physics and Modeling Complex Systems. A Fulbright research scholar at the Centre for the Study of Complex Systems of the University of Michigan in Ann Arbor and research projects at the Brunel University in London and the University of Missouri in Columbia. He is Laureate of the Academy of Sciences of Moldova Award for the valuable scientific achievements of scientists in the natural and exact sciences for the development of analytical and numerical methods in complex systems research. Dr. Alexandr A. Barsuk, Moldova State University, Institute of Applied Physics, Chisinau, Moldova. Alexandr A. Barsuk is D.Sc., professor and principal scientific researcher in the research laboratory Environmental Physics and Modeling Complex Systems of the Institute of Applied Physics at the Moldova State University. Former head of the Computing Centre of the Moldova State University. D.Sc. in Physics and Mathematics from Tula State University in 1998. Research projects on analytical methods in structural mechanics and theoretical physics, variational and numerical analysis of stability of deformable bodies, and asymptotic analysis of complex systems. He is co-author of Stability of Axially Moving Materials (2020), part of the Springer Nature book series in Solid Mechanics and Its Applications. Prof. A.A. Barsuk is Laureate of the Ministry of Education and Research Award for his prodigious activity in the field of research and innovation. Dr. Orhan Özgür Aybar, Piri Reis University, Institute of Graduate Education - Computational Science and Engineering, Istanbul, Türkiye. Orhan Özgür Aybar is Ph.D., associate professor in the Department of Mathematics and Management Information Systems at Piri Reis University, where he has served since 2014 and was promoted to associate professor position in February 2024. He earned his Ph.D. in Mathematics from Gebze Institute of Technology in March 2014, following degrees in Physics with Computational Physics specialization from Bogazici University in Istanbul. Dr. Aybar’s research focuses on nonlinear dynamical systems, bifurcation theory, and stability analysis of differential equations and polynomial systems. His computational science contributions include developing algorithms for computer algebra systems to analyse biochemical reaction networks, implementing genetic algorithm approaches for chaotic system analysis, and creating symbolic computation methods for bifurcation detection in complex dynamical systems. Dr. Orhan Özgür Aybar serves as director of the Institute of Graduate Education and leads the Department of Computational Science and Engineering. Dr. Ilknur Kusbeyzi Aybar, Yeditepe University, Department of Mathematics, Istanbul, Türkiye. Ilknur Kusbeyzi Aybar is Ph.D., associate professor in the Department of Mathematics at Yeditepe University. She has been a faculty member at Yeditepe University since 2005, serving in various academic and administrative roles, and was promoted to associate professor position in February 2022. She earned her Ph.D. in Mathematics from Gebze Technical University in 2010, following undergraduate and master’s studies at Yıldız Technical University. Dr. Ilknur Kusbeyzi Aybar’s research focuses on the mathematical modeling and qualitative analysis of nonlinear dynamical systems, with particular emphasis on bifurcation and chaos theory, stability analysis, and symbolic computation in differential equations and polynomial systems. Her interdisciplinary interests extend to mathematical biology, neuronal dynamics, and chemical reaction modeling. Dr. Ilknur Kusbeyzi Aybar serves as head of the Department of Mathematics at Yeditepe University.

• 1. Introduction and Conceptual Foundations2. Bifurcation and Stability Analysis of Equilibrium States in Complex Thermodynamic Systems Near Equilibrium Parameter Values3. Sensitivity Analysis of Equilibrium States in Multi-Dimensional Dynamical Systems Near Ordinary and Bifurcation Parameter Values4. General Solution for Phase Transitions Involving an Intermediate Metastable State5. Unified Probabilistic Framework for Modeling Complex Adaptive Populations6. Neuronal Dynamics and Information Processing. From Single Neurons to Network Behavior7. Biochemical Reaction Networks. Mathematical Modeling of Cellular Processes8. Economic Motion in Mathematical Time. From Cycles to Chaos9. From Theory to Data. Empirical Methods for Economic Dynamical Systems10. Summary and Future Directions