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Reduced Order Modeling & Control of Transient Instabilities

Theory-Algorithms

  • A. Blanchard, T. Sapsis, Learning the tangent space of dynamical instabilities from dataChaos29 (2019) 113120, Focus Issue: When Machine Learning Meets Complex Systems: Networks, Chaos and Nonlinear Dynamics(2019) (15 pages)[pdf]
  • A. Blanchard, T. Sapsis, Analytical description of optimally time-dependent modes for reduced-order modeling of transient instabilitiesSIAM Journal on Applied Dynamical Systems, 18 (2019) 1143-1162. [pdf]
  • H. BabaeeM. Farazmand, G. Haller, T. Sapsis, Reduced-order description of transient instabilities and computation of finite-time Lyapunov exponentsChaos27 (2017) 063103 (12 pages). [pdf]
  • H. Babaee, T. Sapsis, A minimization principle for the description of time-dependent modes associated with transient instabilitiesProceedings of the Royal Society A472 (2016) 20150779 (27 pages). [pdf] Featured on the journal's cover page.

Applications

  • A. Blanchard, T. Sapsis, Stabilization of unsteady flows by reduced-order control with optimally time-dependent modesPhysical Review Fluids, 4 (2019) 053902 (27 pages). Editor's Suggestion[pdf]
  • A. Blanchard, S. Mowlavi, T. Sapsis, Control of linear instabilities by dynamically consistent order reduction on optimally time-dependent modes, Nonlinear Dynamics95 (2019) 2745-2764. [pdf]