Nazmi Burak Budanur

Nonlinear Dynamics and Turbulence Group

IST Austria

Am Campus 1

3400 Klosterneuburg, Austria



I use methods from the nonlinear dynamics in computational studies of emergent complex behavior in physical systems. My current focus is the theoretical aspects of the transition to turbulence in shear flows. The video below is a sample result from my ongoing research.

  • Transition to turbulence in pipe flow captured on the unstable manifold of a traveling wave solution.

  • Left: Motion on the unstable manifold. Right: Flow structures during the transition to turbulence. N. B. Budanur and B. Hof, Phys. Rev. Fluids, 3, 054401 (2018) . All rights reserved.
  • Teaching

    Nonlinear Dynamics and Chaos (IST Austria, Fall 2017)

  • Starts on: 10-Oct-2017
  • Ends on: 25-Jan-2017
  • Topics: Introduction to dynamical systems, Time-invariant sets and stability, Symmetries, Bifurcations, Transition to chaos, Qualitative dynamics, and selected topics
  • Course page
  • Publications


  • [9] N. B. Budanur and M. Fleury, State space geometry of the chaotic pilot-wave hydrodynamics, Chaos 29, 013122 (2019). arXiv:1812.09011
  • [8] N. B. Budanur and B. Hof, Complexity of the laminar-turbulent boundary in pipe flow, Phys. Rev. Fluids, 3, 054401 arXiv:1802.01918
  • [7] J. Kühnen, B. Song, D. Scarselli, N. B. Budanur, M. Riedl, A. Willis, M. Avila and B. Hof, Destabilizing turbulence in pipe flow , Nat. Phys. (2018), arXiv:1711.06543 .
  • [6] N. B. Budanur, K. Y. Short, M. Farazmand, A. P. Willis, and P. Cvitanović, Relative periodic orbits form the backbone of turbulent pipe flow, J. Fluid. Mech., 833, 274-301 (2017), arXiv:1705.03720 .
  • [5] N. B. Budanur, B. Hof, Heteroclinic path to spatially localized chaos in pipe flow, J. Fluid. Mech. 827 R1 (2017), arXiv:1703.10484 .
  • [4] B. Hof, N. B. Budanur, Searching for Order in Turbulent Flow , Physics 10, 25 (2017). (Viewpoint article on Suri et al. Phys. Rev. Lett. 118, 114501 (2017).)
  • [3] N. B. Budanur, P. Cvitanović, Unstable manifolds of relative periodic orbits in the symmetry-reduced state space of the Kuramoto-Sivashinsky system, J. Stat. Phys. 167, 636-655 (2017) arXiv:1509.08133 .
  • [2] N. B. Budanur, D. Borrero-Echeverry, P. Cvitanović, Periodic orbit analysis of a system with continuous symmetry-A tutorial, Chaos 25, 073112 (2015) arXiv:1411.3303 .
  • [1] N. B. Budanur, P. Cvitanović, R. L. Davidchack, E. Siminos, Reduction of SO(2) symmetry for spatially extended dynamical systems, Phys. Rev. Lett. 114, 084102 (2015) arXiv:1405.1096 .
  • Theses

  • [2] N. B. Budanur, Exact coherent structures in spatiotemporal chaos: from qualitative description to quantitative predictions. PhD thesis, School of Physics, Georgia Inst. of Technology, Atlanta (2015)
  • [1] N. B. Budanur, Simulation Studies of Charge Transport on Resistive Structures in Gaseous Ionization Detectors. MSc thesis, Istanbul Technical University, Istanbul (2012)
  • Résumé

    Professional appointments

  • Jan. 2016 - : Postdoc, IST Austria
  • May. 2014 - Dec 2015: Research assistant, Georgia Tech
  • Sep. 2012 - May 2014: Teaching assistant, Georgia Tech
  • Jul. 2011 - Jul 2012: Visiting researcher, CERN
  • Oct. 2010 - Jul 2012: Teaching assistant, Dogus University
  • Education

  • Aug. 2012 - Dec. 2015: PhD, Physics, Georgia Institute of Technology, Advisor: Predrag Cvitanović
  • Sep. 2010 - Jul. 2012: MSc, Engineering Physics, Istanbul Technical University
  • Sep. 2006 - January 2011: BSc, Electronics Engineering and Engineering Physics (double major), Istanbul Technical University