Journal of AI, Data Science and Cyber Systems

Anton Iliev is a Bulgarian mathematician and computer scientist born on 3 December 1973 in Plovdiv, Bulgaria, currently serving as Professor and Chair of the Computer Technology Department at the University of Plovdiv, Faculty of Mathematics and Informatics. He graduated in 1996 with a degree in Mathematics (specialization in Informatics) from the same university and obtained his PhD there in 2001. Over his academic career, he has combined research, teaching, and leadership, including serving as Vice-Rector of the University of Plovdiv from 2019 to 2023. His scientific interests encompass informatics, mathematics, modelling, and numerical methods, with significant contributions to the development and refinement of computational and number-theoretic algorithms, extended Euclidean-type methods, hybrid algorithms, growth models, differential equations, oscillator systems, and applications of orthogonal polynomials in dynamical systems. He is a member of the Union of Bulgarian Mathematicians and the Association for Development of the Information Society and received a Diploma of Excellence for Young Scientists in Natural Sciences and Mathematics in 2006 from the University of Plovdiv’s Scientific Research Fund. Professor Iliev has authored and co-authored numerous publications in international peer-reviewed journals and conference proceedings, including Scopus- and Web of Science-indexed journals, as well as several academic books and monographs, contributing significantly to mathematical informatics and computational modelling in Bulgaria and beyond.

• AI
• Algorithms
• Information Systems
• Numerical Mathematics, chaos

1. Anton Iliev conducts research in informatics, mathematics, mathematical modelling, and numerical methods.
2. Develops and refines number-theoretic and computational algorithms, including extended Euclidean-type algorithms, modular multiplicative inverse methods, GCD algorithms, and generalized Harris and Daykin–Harris algorithms.
3. Works on hybrid and enhanced algorithmic models using SGN functions and least absolute remainder techniques.
4. Contributes to growth modelling theory, including Gompertz, logistic, SIR/SEIR/SIRD epidemiological models, and modified growth functions with polynomial intervention factors.
5. Investigates differential equations, Lienard systems, Rayleigh systems, Duffing and Mathieu oscillators, and piecewise smooth dynamical systems.
6. Studies orthogonal polynomials (Chebyshev, Gegenbauer, Hermite, Dickson, Lommel, and associated polynomials) and their applications in dynamical systems and simulations.
7. Publishes extensively in international peer-reviewed journals indexed in Scopus and Web of Science, including Q2 and Q3 ranked journals.
8. Co-authors academic monographs and research books published by Plovdiv University Press on growth modelling, oscillator dynamics, and applied differential systems.
9. Participates regularly in international scientific conferences, particularly IMEA conferences held in Pamporovo, Bulgaria.
10. Engages in applied computational research, including cloud-based distributed software environments and web-based simulation platforms.
11. Supervises research activities and contributes to the academic development of the Faculty of Mathematics and Informatics at the University of Plovdiv.

1. Modified Three-parameter Kies Cumulative Distribution Function. International Journal of Differential Equations and Applications, 2022.
2. Hypothetical Piecewise Smooth Generalized Sigmoidal Growth Function. International Journal of Differential Equations and Applications, 2022.
3. Extended Lienard System with Dickson Polynomials. International Journal of Differential Equations and Applications, 2022.
4. Technique for Simulating Extended Relaxation Oscillator Models. Communications in Applied Analysis, 2022.
5. Growth Model by Baranyi and Roberts: Applications. AIP Conference Proceedings, 2022.
6. Extended Polynomial Lienard Systems: Simulations and Applications. International Electronic Journal of Pure and Applied Mathematics, 2022.
7. Chebyshev Polynomials of the Fifth Kind and Applications to Lienard-type Equations. Communications in Applied Analysis, 2022.
8. Dynamics of the Lienard Polynomial System Using Dickson Polynomials. International Journal of Differential Equations and Applications, 2022.
9. Gegenbauer Polynomials as Correction in the Lienard Planar System. International Journal of Differential Equations and Applications, 2022.
10. Hypothetical Piecewise Smooth Log-logistic Growth Function. International Electronic Journal of Pure and Applied Mathematics, 2022.
11. Polynomial Lienard-Type Systems: Limit Cycles and Simulations. International Journal of Differential Equations and Applications, 2022.
12. Lienard System with Chebyshev Polynomial Correction. IMEA Conference Proceedings, 2022.
13. Selected Chapters from Growth Modeling: Theory and Applications. Plovdiv University Press, 2022.
14. Simulations on Lienard Polynomial System with Dickson-type Corrections. International Journal of Differential Equations and Applications, 2022.
15. Overview of Sophisticated Growth Functions: Applications. Communications in Applied Analysis, 2022.
16. Understudied Models with Applications in Debugging Theory. Communications in Applied Analysis, 2022.
17. Extended Oscillator Models: Simulating and Studying Their Dynamics. Plovdiv University Press, 2022.
18. Lienard System with Polynomial-type Corrections, Part II. Plovdiv University Press, 2022.
19. Extended Gompertz Growth Models. International Journal of Differential Equations and Applications, 2022.
20. Modified OW-TL-G Logarithmic CDF. International Electronic Journal of Pure and Applied Mathematics, 2022.
21. Extended Based on Generalization of Harris Algorithm. International Electronic Journal of Pure and Applied Mathematics, 2023.
22. Generalized Harris Algorithm Using SGN Function. IMEA Conference Proceedings, 2023.
23. Extended Based on Generalized Harris Algorithm Using SGN Function. Communications in Applied Analysis, 2023.
24. Generalized Tembhurne-Sathe Algorithm Using SGN Function. International Journal of Differential Equations and Applications, 2023.
25. Hybrid Extended Algorithm Using SGN Function. International Electronic Journal of Pure and Applied Mathematics, 2023.
26. New Hybrid Extended Algorithm. Communications in Applied Analysis, 2023.
27. Refined Enhanced Hybrid Extended Algorithm Using SGN Function. International Electronic Journal of Pure and Applied Mathematics, 2023.
28. Quasi-Periodic Oscillations in a Self-Excited Mathieu Oscillator. Communications in Applied Analysis, 2023.
29. Dynamics and Simulations of Generalized Rayleigh Systems. International Journal of Differential Equations and Applications, 2023.
30. Duffing-like Oscillators with Transfer Excitation Function. Communications in Applied Analysis, 2023.
31. Mathieu-like Oscillator with Transfer Excitation Function. Communications in Applied Analysis, 2023.
32. Planar Rayleigh-Lienard Differential System: Simulations. International Journal of Differential Equations and Applications, 2023.
33. Orthogonal Polynomials as Corrections in Lienard Differential System. Algorithms, 2023.
34. Piecewise Smooth Gompertz Growth Function. Springer Proceedings in Mathematics & Statistics, 2023.
35. Duffing System with Periodic Parametric Excitation. International Journal of Differential Equations and Applications, 2023.
36. Gegenbauer-like and Jacobi-like Polynomials: Applications. International Electronic Journal of Pure and Applied Mathematics, 2023.
37. Applications of Associated Orthogonal Polynomials. Communications in Applied Analysis, 2023.
38. Associated Lommel Polynomials: Applications. Communications in Applied Analysis, 2023.
39. Applications of Orthogonal Polynomials and Associated Polynomials of Higher Kind. Plovdiv University Press, 2023.
40. Associated Hermite Polynomials: Applications. International Journal of Differential Equations and Applications, 2023.
41. Lienard System Using Continuous and Bivariate q–Hermite Polynomials. International Journal of Differential Equations and Applications, 2023.
42. Dickson Polynomials of Higher Kind for Modeling Radiation Diagrams, 2023 (Deposited Manuscript).
43. Associated Polynomials and Their q–Analogues: Applications. International Electronic Journal of Pure and Applied Mathematics, 2023.
44. Adaptive Hopf Oscillators: Overview. IMEA Conference Proceedings, 2023.
45. Cloud-Based Distributed Software Environment for Scientific Computations. International Journal of Innovative Science, Engineering & Technology, 2023.
46. Effective Realization of Daykin-Harris Algorithm. International Journal of Differential Equations and Applications, 2024.
47. Generalized Daykin-Harris Algorithm. International Journal of Differential Equations and Applications, 2024.
48. Generalized Daykin-Harris Algorithm Using SGN Function. International Electronic Journal of Pure and Applied Mathematics, 2024.
49. Simulation on a Generalized Oscillator Model: Web-Based Application. C. R. Acad. Bulg. Sci., 2024.
50. Dynamics of an Extended Anharmonic Oscillator. International Journal of Differential Equations and Applications, 2024.
51. Generative Visualization – Professional Student Training. IMEA Conference Proceedings, 2024.