SCI-SSCI, SCI Expanded ve AHCI Kapsamındaki Yayınları

• T. Bayrakdar, A. Turhan, Equivalence problem for first-order and second-order ODEs with a quadratic restriction, 10.1142/S0219887824502876, INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, vol. 21, no. 14, pp. 17, 2024

• T. Bayrakdar, Bi-Hamiltonian structure of a unit geodesic vector field on a 3D space of constant negative curvature, Journal of Geometry and Physics, Volume 198, 2024, 105115, ISSN 0393-0440, https://doi.org/10.1016/j.geomphys.2024.105115.

• BAYRAKDAR TUNA, Geometry of a surface in Riemannian 3-manifold corresponding to a smooth autonomous dynamical system, International Journal of Geometric Methods in Modern Physics, vol. 19, no. 12, 2022

• T. Bayrakdar, Sasakian Structure Associated with a Second-Order ODE and Hamiltonian Dynamical Systems, 10.1007/s41980-021-00613-8, BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 48, no. 4, pp. 1845-1858, 2022

• Z. B. OK, T. BAYRAKDAR, A geometric description for simple and damped harmonic oscillators, TURKISH JOURNAL OF MATHEMATICS, vol. 43, no. 5, pp. 2540-2548, 9, 2019

• T. BAYRAKDAR, A. A. ERGIN, Equivalence problem for compatible bi-Hamiltonian structures on three-dimensional orientable manifolds, TURKISH JOURNAL OF MATHEMATICS, vol. 42, no. 5, pp. 2452-2465, 2018

• Z. B. OK, T. BAYRAKDAR, Burgers’ Equations in the Riemannian Geometry Associated with First-Order Differential Equations, ADVANCES IN MATHEMATICAL PHYSICS, no. null, 2018

• T. BAYRAKDAR, A. A. ERGIN, Minimal Surfaces in Three-Dimensional Riemannian Manifold Associated with a Second-Order ODE, MEDITERRANEAN JOURNAL OF MATHEMATICS, vol. 15, no. 4, 2018

• T. BAYRAKDAR, A. A. ERGIN, Motion of an integral curve of a Hamiltonian dynamical system and the evolution equations in 3D, INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, vol. 14, no. 12, 2017

Uluslararası Hakemli Dergilerde Yayınlanan Makaleler

• BAYRAKDAR TUNA, OK BAYRAKDAR ZAHIDE, The Curvature Property of a Linear Dynamical System, European Journal of Science and Technology, no. 28, pp. 1288-1290, 2021

• BAYRAKDAR TUNA,ERGIN ABDULLAH AZIZ, TIME-LIKE HAMILTONIAN DYNAMICAL SYSTEMS IN MINKOWSKI SPACE R-1(3) AND THE NONLINEAR EVOLUTION EQUATIONS, MATEMATICKI VESNIK, vol. 70, no. 1, pp. 12-25, 2018

• BAYRAKDAR TUNA,ERGIN ABDULLAH AZIZ, HAMILTONIAN DYNAMICAL SYSTEMS AND GEOMETRY OF SURFACES IN 3-D, JOURNAL OF DYNAMICAL SYSTEMS AND GEOMETRIC THEORIES, vol. 15, no. 2, pp. 163-176, 2017

Uluslararası Bilimsel Toplantılarda Sunulan ve Bildiri Kitabında Basılan Bildiriler (Proceedings)

• BAYRAKDAR TUNA, Intrinsic Geometry of a Linear First-Order ODE, 19th International Geometry Symposium 27 - 30 June 2022, Trakya University, Edirne-TURKEY, Edirne-TÜRKIYE

• Turhan Ayse, Özcan Fatma, TEKIN PELIN, BAYRAKDAR TUNA, A Second Order Linear ODE as a Space of Constant Curvature, 19th International Geometry Symposium 27 - 30 June 2022, Trakya University, Edirne-TURKEY, Edirne-TÜRKIYE

• OK BAYRAKDAR ZAHIDE, BAYRAKDAR TUNA, A Simple Geometric Approach to the Second-Order Homogeneous Linear Differential Equations, 4TH INTERNATIONAL CONFERENCE ON LIFE AND ENGINEERING SCIENCES, ISTANBUL, TURKEY ICOLES 2021, Istanbul-TÜRKIYE

• BAYRAKDAR TUNA, OK BAYRAKDAR ZAHIDE, Lie’s linearized symmetry condition and the curvature, 4TH INTERNATIONAL CONFERENCE ON LIFE AND ENGINEERING SCIENCES, ISTANBUL, TURKEY, ICOLES2021, Istanbul-TÜRKIYE

• BAYRAKDAR TUNA, OK BAYRAKDAR ZAHIDE, The Curvature Property of a Linear Dynamical System, 1st International Conference on Applied Engineering and Natural Sciences ICAENS 2021, November 1-3, 2021, Konya-TÜRKIYE

Ulusal Bilimsel Toplantılarda Sunulan ve Bildiri Kitabında Basılan Bildiriler

• BAYRAKDAR TUNA, ERGIN ABDULLAH AZIZ, Üç Boyutlu Uzayda Uyumlu Poisson Yapılarının Eşdeğerliği, 13. Geometri Sempozyumu Istanbul, 27-30 Temmuz 2015, Istanbul-TÜRKIYE

Projeler

• Sabit Egrilikli Riemann Manifoldlari Üzerinde Egri ve Yüzeylerin Kuaterniyonlar Yardimiyla Incelenmesi, 0, 2012-2012

MAT303 - Diferansiyel Geometri I

MAT328 - Diferansiyel Geometri II

MEC217 - Linear Algebra

MTH101 - Calculus I