% Round-5-owned bibliography for reader-facing external propositions only.
% Do not use these sources to support DynamisLab results, values, artifacts, or readiness.

@article{PendryEtAl2006Controlling,
  author  = {Pendry, J. B. and Schurig, D. and Smith, D. R.},
  title   = {Controlling electromagnetic fields},
  journal = {Science},
  year    = {2006},
  volume  = {312},
  number  = {5781},
  pages   = {1780--1782},
  doi     = {10.1126/science.1125907}
}

@article{MaEtAl2013ActiveCloaking,
  author  = {Ma, Qian and Mei, Zhong Lei and Zhu, Shou Kui and Jin, Tian Yu and Cui, Tie Jun},
  title   = {Experiments on active cloaking and illusion for {Laplace} equation},
  journal = {Physical Review Letters},
  year    = {2013},
  volume  = {111},
  number  = {17},
  pages   = {173901},
  doi     = {10.1103/PhysRevLett.111.173901}
}

@article{UrzhumovSmith2012ActiveCloaks,
  author  = {Urzhumov, Yaroslav A. and Smith, David R.},
  title   = {Flow stabilization with active hydrodynamic cloaks},
  journal = {Physical Review E},
  year    = {2012},
  volume  = {86},
  number  = {5},
  pages   = {056313},
  doi     = {10.1103/PhysRevE.86.056313}
}

@article{DengEtAl2020PinballBifurcations,
  author  = {Deng, Nan and Noack, Bernd R. and Morzy{\'n}ski, Marek and Pastur, Luc R.},
  title   = {Low-order model for successive bifurcations of the fluidic pinball},
  journal = {Journal of Fluid Mechanics},
  year    = {2020},
  volume  = {884},
  pages   = {A37},
  doi     = {10.1017/jfm.2019.959}
}

@article{CornejoMacedaEtAl2021PinballControl,
  author  = {Cornejo Maceda, G. Y. and Li, Y. and Lusseyran, F. and Morzy{\'n}ski, M. and Noack, B. R.},
  title   = {Stabilization of the fluidic pinball with gradient-enriched machine learning control},
  journal = {Journal of Fluid Mechanics},
  year    = {2021},
  volume  = {917},
  pages   = {A42},
  doi     = {10.1017/jfm.2021.301}
}

@article{RabaultEtAl2019DRLFlowControl,
  author  = {Rabault, Jean and Kuchta, Miroslav and Jensen, Atle and R{\'e}glade, Ulysse and Cerardi, Nicolas},
  title   = {Artificial neural networks trained through deep reinforcement learning discover control strategies for active flow control},
  journal = {Journal of Fluid Mechanics},
  year    = {2019},
  volume  = {865},
  pages   = {281--302},
  doi     = {10.1017/jfm.2019.62}
}

@article{SchulmanEtAl2017PPO,
  author        = {Schulman, John and Wolski, Filip and Dhariwal, Prafulla and Radford, Alec and Klimov, Oleg},
  title         = {Proximal policy optimization algorithms},
  journal       = {arXiv preprint arXiv:1707.06347},
  year          = {2017},
  eprint        = {1707.06347},
  archiveprefix = {arXiv},
  primaryclass  = {cs.LG}
}


@article{ParisEtAl2021RobustFlowControl,
  author  = {Paris, Romain and Beneddine, Samir and Dandois, Julien},
  title   = {Robust flow control and optimal sensor placement using deep reinforcement learning},
  journal = {Journal of Fluid Mechanics},
  year    = {2021},
  volume  = {913},
  pages   = {A25},
  doi     = {10.1017/jfm.2020.1170}
}

@article{GautierEtAl2015ClosedLoop,
  author  = {Gautier, N. and Aider, J.-L. and Duriez, T. and Noack, B. R. and Segond, M. and Abel, M.},
  title   = {Closed-loop separation control using machine learning},
  journal = {Journal of Fluid Mechanics},
  year    = {2015},
  volume  = {770},
  pages   = {442--457},
  doi     = {10.1017/jfm.2015.95}
}

@article{LoiseauEtAl2018SparseROM,
  author  = {Loiseau, Jean-Christophe and Noack, Bernd R. and Brunton, Steven L.},
  title   = {Sparse reduced-order modelling: sensor-based dynamics to full-state estimation},
  journal = {Journal of Fluid Mechanics},
  year    = {2018},
  volume  = {844},
  pages   = {459--490},
  doi     = {10.1017/jfm.2018.147}
}

@article{RaibaudoEtAl2020PinballControl,
  author  = {Raibaudo, C{\'e}dric and Zhong, Peng and Noack, Bernd R. and Martinuzzi, Robert J.},
  title   = {Machine learning strategies applied to the control of a fluidic pinball},
  journal = {Physics of Fluids},
  year    = {2020},
  volume  = {32},
  number  = {1},
  pages   = {015108},
  doi     = {10.1063/1.5127202}
}

@article{LiEtAl2022FlowEstimation,
  author  = {Li, Songqi and Li, Wenpeng and Noack, Bernd R.},
  title   = {Machine-learned control-oriented flow estimation for multi-actuator multi-sensor systems exemplified for the fluidic pinball},
  journal = {Journal of Fluid Mechanics},
  year    = {2022},
  volume  = {952},
  pages   = {A36},
  doi     = {10.1017/jfm.2022.908}
}

@article{SchlegelEtAl2012LeastOrder,
  author  = {Schlegel, Michael and Noack, Bernd R. and Jordan, Peter and Dillmann, Andreas and Gr{\"o}schel, Elmar and Schr{\"o}der, Wolfgang and Wei, Mingjun and Freund, Jonathan B. and Lehmann, Oliver and Tadmor, Gilead},
  title   = {On least-order flow representations for aerodynamics and aeroacoustics},
  journal = {Journal of Fluid Mechanics},
  year    = {2012},
  volume  = {697},
  pages   = {367--398},
  doi     = {10.1017/jfm.2012.70}
}

@article{Boree2003ExtendedPOD,
  author  = {Bor{\'e}e, J.},
  title   = {Extended proper orthogonal decomposition: a tool to analyse correlated events in turbulent flows},
  journal = {Experiments in Fluids},
  year    = {2003},
  volume  = {35},
  number  = {2},
  pages   = {188--192},
  doi     = {10.1007/S00348-003-0656-3}
}

@article{Crowdy2006MultipleCylinders,
  author  = {Crowdy, Darren G.},
  title   = {Analytical solutions for uniform potential flow past multiple cylinders},
  journal = {European Journal of Mechanics B/Fluids},
  year    = {2006},
  volume  = {25},
  number  = {4},
  pages   = {459--470},
  doi     = {10.1016/j.euromechflu.2005.11.005}
}

@article{UedaEtAl2003RotatingCylinders,
  author  = {Ueda, Y. and Sellier, A. and Kida, T. and Nakanishi, M.},
  title   = {On the low-{Reynolds}-number flow about two rotating circular cylinders},
  journal = {Journal of Fluid Mechanics},
  year    = {2003},
  volume  = {495},
  pages   = {255--281},
  doi     = {10.1017/S002211200300627X}
}

% Post-R5 high-confidence local-source wave (metadata provisional where audited).
@article{Leonhardt2006OpticalMapping,
  author  = {Leonhardt, Ulf},
  title   = {Optical conformal mapping},
  journal = {Science},
  year    = {2006},
  volume  = {312},
  number  = {5781},
  pages   = {1777--1780},
  doi     = {10.1126/science.1126493}
}

@article{Miller2006PerfectActiveCloaking,
  author  = {Miller, David A. B.},
  title   = {On perfect cloaking},
  journal = {Optics Express},
  year    = {2006},
  volume  = {14},
  number  = {25},
  pages   = {12457--12466}
}

@article{VasquezEtAl2009ActiveExterior,
  author  = {Guevara Vasquez, Fernando and Milton, Graeme W. and Onofrei, Daniel},
  title   = {Active exterior cloaking for the {2D} {Laplace} and {Helmholtz} equations},
  journal = {Physical Review Letters},
  year    = {2009},
  volume  = {103},
  number  = {7},
  pages   = {073901},
  doi     = {10.1103/PhysRevLett.103.073901}
}

@article{LinEtAl2021ActiveAcousticIllusions,
  author  = {Lin, Cikai and Liu, Daipei and Eggler, Daniel and Kessissoglou, Nicole},
  title   = {Active acoustic cloaking and illusions of sound-hard bodies using the boundary element method},
  journal = {The Journal of the Acoustical Society of America},
  year    = {2021},
  volume  = {149},
  number  = {3},
  pages   = {1803--1812}
}

@article{ChenEtAl2024MultilayerHydrodynamicCloak,
  author  = {Chen, Mengyao and Shen, Xiangying and Xu, Lei},
  title   = {A multilayered homogeneous hydrodynamic cloak realized in a free fluid flow},
  journal = {Applied Physics Letters},
  year    = {2024},
  volume  = {125},
  number  = {17}
}

@article{RenEtAl2021HydrodynamicStealthDRL,
  author  = {Ren, Feng and Wang, Chenglei and Tang, Hui},
  title   = {Bluff body uses deep-reinforcement-learning trained active flow control to achieve hydrodynamic stealth},
  journal = {Physics of Fluids},
  year    = {2021},
  volume  = {33},
  number  = {9},
  pages   = {093602},
  doi     = {10.1063/5.0060690}
}

@article{DengEtAl2021PinballForceModel,
  author  = {Deng, Nan and Noack, Bernd R. and Morzy{\'n}ski, Marek and Pastur, Luc R.},
  title   = {Galerkin force model for transient and post-transient dynamics of the fluidic pinball},
  journal = {Journal of Fluid Mechanics},
  year    = {2021},
  volume  = {918},
  pages   = {A4},
  doi     = {10.1017/jfm.2021.299}
}

@article{FengEtAl2023PinballForceControl,
  author  = {Feng, Haodong and Wang, Yue and Xiang, Hui and Jin, Zhiyang and Fan, Dixia},
  title   = {How to control hydrodynamic force on fluidic pinball via deep reinforcement learning},
  journal = {Physics of Fluids},
  year    = {2023},
  volume  = {35},
  number  = {4},
  pages   = {045137},
  doi     = {10.1063/5.0142949}
}

@article{BeemTriantafyllou2015WakeSensing,
  author  = {Beem, Heather R. and Triantafyllou, Michael S.},
  title   = {Wake-induced `slaloming' response explains exquisite sensitivity of seal whisker-like sensors},
  journal = {Journal of Fluid Mechanics},
  year    = {2015},
  volume  = {783},
  pages   = {306--322}
}

@article{SakoeChiba1978DynamicProgramming,
  author  = {Sakoe, H. and Chiba, S.},
  title   = {Dynamic programming algorithm optimization for spoken word recognition},
  journal = {IEEE Transactions on Acoustics, Speech, and Signal Processing},
  year    = {1978},
  volume  = {26},
  number  = {1},
  pages   = {43--49},
  doi     = {10.1109/TASSP.1978.1163055}
}

@book{Muller2015FundamentalsMusicProcessing,
  author    = {M{\"u}ller, Meinard},
  title     = {Fundamentals of Music Processing: Audio, Analysis, Algorithms, Applications},
  publisher = {Springer},
  year      = {2015},
  volume    = {5}
}

@article{FengWang2010SyntheticJetCylinder,
  author  = {Feng, Li Hao and Wang, Jin Jun},
  title   = {Circular cylinder vortex-synchronization control with a synthetic jet positioned at the rear stagnation point},
  journal = {Journal of Fluid Mechanics},
  year    = {2010},
  volume  = {662},
  pages   = {232--259}
}

@article{LiEtAl2017GeneticProgrammingControl,
  author  = {Li, R. and Noack, B. R. and Cordier, L. and Bor{\'e}e, J. and Harambat, F.},
  title   = {Drag reduction of a car model by linear genetic programming control},
  journal = {Experiments in Fluids},
  year    = {2017},
  volume  = {58},
  pages   = {103}
}

@article{BruntonEtAl2016SINDy,
  author  = {Brunton, Steven L. and Proctor, Joshua L. and Kutz, J. Nathan},
  title   = {Discovering governing equations from data by sparse identification of nonlinear dynamical systems},
  journal = {Proceedings of the National Academy of Sciences},
  year    = {2016},
  volume  = {113},
  pages   = {3932--3937},
  doi     = {10.1073/pnas.1517384113}
}

@article{Cranmer2023PySR,
  author        = {Cranmer, Miles},
  title         = {Interpretable machine learning for science with {PySR} and {SymbolicRegression.jl}},
  journal       = {arXiv preprint arXiv:2305.01582},
  year          = {2023},
  eprint        = {2305.01582},
  archiveprefix = {arXiv}
}

% Post-R5 Undermind full-PDF verified gap wave.
@article{FanEtAl2020BluffBodyRL,
  author  = {Fan, Dixia and Yang, Liu and Wang, Zhicheng and Triantafyllou, Michael S. and Karniadakis, George E.},
  title   = {Reinforcement learning for bluff body active flow control in experiments and simulations},
  journal = {Proceedings of the National Academy of Sciences},
  year    = {2020},
  volume  = {117},
  number  = {42},
  pages   = {26091--26098},
  doi     = {10.1073/pnas.2004939117}
}

@article{LiZhang2022ConfinedWakeRL,
  author  = {Li, Ji-chao and Zhang, Mengqi},
  title   = {Reinforcement-learning-based control of confined cylinder wakes with stability analyses},
  journal = {Journal of Fluid Mechanics},
  year    = {2022},
  volume  = {932},
  pages   = {A44},
  doi     = {10.1017/jfm.2021.1045}
}

@article{MarraEtAl2024ActuationManifold,
  author  = {Marra, L. and Cornejo Maceda, G. Y. and Meil{\'a}n-Vila, A. and Guerrero, V. and Rashwan, S. and Noack, B. R. and Discetti, S. and Ianiro, A.},
  title   = {Actuation manifold from snapshot data},
  journal = {Journal of Fluid Mechanics},
  year    = {2024},
  volume  = {996},
  pages   = {A26},
  doi     = {10.1017/jfm.2024.593}
}

@article{JinEtAl2022SensorActuatorPlacement,
  author  = {Jin, B. and Illingworth, S. J. and Sandberg, R. D.},
  title   = {Optimal sensor and actuator placement for feedback control of vortex shedding},
  journal = {Journal of Fluid Mechanics},
  year    = {2022},
  volume  = {932},
  pages   = {A2},
  doi     = {10.1017/jfm.2021.948}
}

@article{GongEtAl2020VortexEstimation,
  author  = {Gong, Jiwen and Monty, Jason P. and Illingworth, Simon J.},
  title   = {Model-based estimation of vortex shedding in unsteady cylinder wakes},
  journal = {Physical Review Fluids},
  year    = {2020},
  volume  = {5},
  pages   = {023901},
  doi     = {10.1103/PhysRevFluids.5.023901}
}

@article{NairEtAl2021PhaseFlowControl,
  author  = {Nair, Aditya G. and Taira, Kunihiko and Brunton, Bingni W. and Brunton, Steven L.},
  title   = {Phase-based control of periodic flows},
  journal = {Journal of Fluid Mechanics},
  year    = {2021},
  volume  = {927},
  doi     = {10.1017/jfm.2021.735}
}

@article{WangEtAl2024DynamicFeatureDRL,
  author  = {Wang, Qiulei and Yan, Dong and Hu, Guodong and Chen, Gang and Rabault, Jean and Noack, Bernd R.},
  title   = {Dynamic feature-based deep reinforcement learning for flow control of circular cylinder with sparse surface pressure sensing},
  journal = {Journal of Fluid Mechanics},
  year    = {2024},
  volume  = {988},
  pages   = {A4},
  doi     = {10.1017/jfm.2024.333}
}

@article{DebienEtAl2016GeneticProgrammingRamp,
  author  = {Debien, Antoine and von Krbek, Kai A. F. F. and Mazellier, Nicolas and Duriez, Thomas and Cordier, Laurent and Noack, Bernd R. and Abel, Markus W. and Kourta, Azeddine},
  title   = {Closed-loop separation control over a sharp edge ramp using genetic programming},
  journal = {Experiments in Fluids},
  year    = {2016},
  volume  = {57},
  number  = {3},
  doi     = {10.1007/s00348-016-2126-8}
}

@article{CastellanosEtAl2022FewSensorMLControl,
  author  = {Castellanos, R. and Cornejo Maceda, G. Y. and de la Fuente, I. and Noack, B. R. and Ianiro, A. and Discetti, S.},
  title   = {Machine-learning flow control with few sensor feedback and measurement noise},
  journal = {Physics of Fluids},
  year    = {2022},
  volume  = {34},
  number  = {4},
  pages   = {047118},
  doi     = {10.1063/5.0087208}
}

@article{RenEtAl2019MachineLearningVIV,
  author  = {Ren, Feng and Wang, Chenglei and Tang, Hui},
  title   = {Active control of vortex-induced vibration of a circular cylinder using machine learning},
  journal = {Physics of Fluids},
  year    = {2019},
  volume  = {31},
  pages   = {093601},
  doi     = {10.1063/1.5115258}
}

@article{ZolmanEtAl2025SINDyRL,
  author  = {Zolman, Nicholas and Lagemann, Christian and Fasel, Urban and Kutz, J. Nathan and Brunton, Steven L.},
  title   = {{SINDy-RL} for interpretable and efficient model-based reinforcement learning},
  journal = {Nature Communications},
  year    = {2025},
  volume  = {16},
  pages   = {10714},
  doi     = {10.1038/s41467-025-65738-4}
}

@inproceedings{JordanEtAl2007ObservableJetModes,
  author    = {Jordan, P. and Schlegel, M. and Stalnov, O. and Noack, B. R. and Tinney, C. E.},
  title     = {Identifying noisy and quiet modes in a jet},
  booktitle = {13th AIAA/CEAS Aeroacoustics Conference},
  year      = {2007},
  number    = {AIAA 2007-3602},
  doi       = {10.2514/6.2007-3602}
}

@article{TadmorEtAl2010CylinderMeanField,
  author  = {Tadmor, Gilead and Lehmann, Oliver and Noack, Bernd R. and Morzy{\'n}ski, Marek},
  title   = {Mean field representation of the natural and actuated cylinder wake},
  journal = {Physics of Fluids},
  year    = {2010},
  volume  = {22},
  number  = {3},
  pages   = {034102},
  doi     = {10.1063/1.3298960}
}

@article{DiscettiEtAl2018CorrelatedFieldEstimation,
  author  = {Discetti, Stefano and Raiola, Marco and Ianiro, Andrea},
  title   = {Estimation of time-resolved turbulent fields through correlation of non-time-resolved field measurements and time-resolved point measurements},
  journal = {Experimental Thermal and Fluid Science},
  year    = {2018},
  volume  = {93},
  pages   = {119--130},
  doi     = {10.1016/j.expthermflusci.2017.12.011}
}

@article{Mittal2001RotatingControlCylinders,
  author  = {Mittal, Sanjay},
  title   = {Control of flow past bluff bodies using rotating control cylinders},
  journal = {Journal of Fluids and Structures},
  year    = {2001},
  volume  = {15},
  number  = {2},
  pages   = {291--326},
  doi     = {10.1006/JFLS.2000.0337}
}

@article{ChanEtAl2011CounterRotatingCylinders,
  author  = {Chan, A. S. and Dewey, P. A. and Jameson, A. and Liang, C. and Smits, A. J.},
  title   = {Vortex suppression and drag reduction in the wake of counter-rotating cylinders},
  journal = {Journal of Fluid Mechanics},
  year    = {2011},
  volume  = {679},
  pages   = {343--382},
  doi     = {10.1017/jfm.2011.134}
}

@article{SierraEtAl2020RotatingCylinderBifurcations,
  author  = {Sierra, J. and Fabre, D. and Citro, V. and Giannetti, F.},
  title   = {Bifurcation scenario in the two-dimensional laminar flow past a rotating cylinder},
  journal = {Journal of Fluid Mechanics},
  year    = {2020},
  volume  = {905},
  pages   = {A2},
  doi     = {10.1017/jfm.2020.692}
}

@article{Watson1996TwoRotatingCylinders,
  author  = {Watson, E. J.},
  title   = {Slow viscous flow past two rotating cylinders},
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  year    = {1996},
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  number  = {2},
  pages   = {195--216},
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}