Clinical Associate Professor of Physics
MS, Rostov State University,
PhD, Odessa University,
Dr. Mark Edelman is an Clinical Associate Professor at Stern College for Women. A former research scientist at the Courant Institute of Mathematical Sciences at NYU, and senior research scientist at the Rostov Pedagogical Institute, he received his PhD in astrophysics from Odessa University and MS in physics and computer science at Rostov State University.
He teaches General Properties of the Fractional Dynamical Systems, Mathematical Physics, Physical Universe, Thermodynamics and Statistical Physics, Quantum Mechanics, Physics I, and Physics II.
He has received the American Astronomical Society Grant awarded for the investigation of the stability of oblique MHD shock waves. He is a member of the American Physical Society, a member of the editorial boards of "Fractional Calculus and Applied Analysis" and" Journal of Applied Nonlinear Dynamics", and a referee for the Physical Review and many other journals.
His latest publications include “On Fractional Eulerian Numbers and Equivalence of Maps with Long-Range Power-Law Memory (Integral Volterra Equations of the Second Kind) to Grünvald-Letnikov Fractional Difference (Differential) Equations”, Chaos, 25, 073103 (2015); “Fractional Maps as Maps with Power-Law Memory” in: “Nonlinear Dynamics and Complexity”, Nonlinear Systems and Complexity, 8, V. Afraimovich et al. (Eds.), pp. 79-120 (Springer, New York, 2014); “Universality in fractional dynamics”, International Conference on Fractional Differentiation and Its Applications (ICFDA), 2014 DOI: 10.1109/ICFDA.2014.6967376, (2014), Page(s): 1 - 6; “Caputo standard α-family of maps: Fractional difference vs. fractional”, Chaos, 24, 023137 (2014); “Universal Fractional Maps and Cascade of Bifurcations Type Attractors”, Chaos 23, 033127 (2013); “Fractional Maps and Fractional Attractors. Part I: α-Families of Maps”, Discontinuity, Nonlinearity, and Complexity 1, 305-324, (2013); "New Types of Solutions of Non-Linear Fractional Differential Equations" in "Advances in Harmonic Analysis and Operator Theory" Birkhäuser OT series (2013); "Fractional Maps and Fractional Attractors. Part 1: \alppha-Families of Maps", Dec. 2013. Previous coauthored publications include "Fractional Standard Map: Riemann-Liouville vs. Caputo", "Fractional Dissipative Standard Map," "Fractional Standard Map," "Resonance and Chaotic Trajectories in Magnetic Field Reversed Configuration," “Topological Instability Along Invariant Surfaces and Pseudochaotic Transport,” “Chaos-induced Intensification of Wave Scattering,” “Polynomial Dispersion of Trajectories in Sticky Dynamics," “Fractional Kinetics of Pseudochaotic Dynamics,” and "Chaotic and Pseudochaotic Attractors of Perturbed Fractional Oscillator."
Beren campus - Stanton Hall (245 Lexington)