
About
Adrian Murza is an Assistant Professor of Instruction in the Department of Mathematical Sciences at the University of Texas at Dallas (UTD), within the School of Natural Sciences and Mathematics. He holds a PhD in Mathematics from UTD (2022) and a PhD in Applied Mathematics from Universidade do Porto (2014). His research focuses on ordinary differential equations with algebraic structures, emphasizing symmetry analysis, integrability conditions, and nonlinear dynamics. His work explores topics such as heteroclinic cycles, periodic solutions in symmetric systems, and applications to models in fluid dynamics and mathematical biology.
His research interests include differential equations with algebraic structures, symmetry-driven dynamical systems, and bifurcation theory. Notable contributions involve analyzing systems with Z3, quaternionic, and other discrete symmetries, as well as studying Liénard systems and Lotka-Volterra models. His articles often bridge theoretical frameworks with applications in nonlinear oscillators, liquid crystal dynamics, and ecological systems.
Murza’s publications span over two decades, with recent works addressing Darboux integrability on manifolds, periodic solutions in delayed differential equations, and shear flow dynamics in nematic liquid crystals. His earlier research includes studies on coupled oscillators, van der Pol systems, and symmetry-induced bifurcations in high-dimensional spaces.
No scientific awards or grants are explicitly mentioned in the provided text. He currently teaches at UTD and has no listed advisees or doctoral students.
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