# Full Publications

### 2018

- B. Suri, J. Tithof, R.O. Grigoriev, and M.F. Schatz. “Unstable equilibria and invariant manifolds in a quasi-two-dimensional Kolmogorov-like flow.”
*Phys. Rev. E*98, 023105 (2018).

### 2017

- J. Tithof, B. Suri, R.K. Pallantla, R.O. Grigoriev, and M.F. Schatz. “Bifurcations in a quasi-two-dimensional Kolmogorov-like flow.”
*J. Fluid Mech.*828, 837–866 (2017). - B. Suri, J. Tithof, R.O. Grigoriev, and M.F. Schatz. “Forecasting Fluid Flows Using the Geometry of Turbulence.”
*Phys. Rev. Lett.*118, 114501 (2017).

### 2016

- M. Kramar, R. Levanger, J. Tithof, B. Suri, M. Xu, M. Paul, M.F. Schatz, and K. Mischaikow. “Analysis of Kolmogorov Flow and Rayleigh-Bénard Convection using Persistent Homology.”
*Physica D*334, 82 (2016).

### 2014

- B. Suri, J. Tithof, R. Mitchell, R.O. Grigoriev, and M.F. Schatz, “Velocity Profile in a Two-Layer Kolmogorov-Like Flow,”
*Phys. Fluids***26**, 053601 (2014). - M.D. Caballero, J.B. Burk, J.M. Aiken, S.S. Douglas, E.M. Scanlon, B.D. Thoms, and M.F. Schatz, “Integrating Numerical Computation into the Modeling Instruction Curriculum,”
*Phys. Teach.***52**, 38 (2014).

### 2013

- J.M. Aiken, S. Lin, S.S. Douglas, E.F. Greco, B.D. Thoms, M.F. Schatz, and M.D. Caballero, “The Initial State of Students Taking an Introductory Physics MOOC,”
*PERC Proceedings*, 53-56 (2013). - J.M. Aiken, M.D. Caballero, S.S. Douglas, J.B. Burk, E.M. Scanlon, B.D. Thoms, and M.F. Schatz, “Understanding student computational thinking with computational modeling,”
*AIP Conf. Proc.***1513**46-49 (2013).

### 2012

- M.D. Caballero, E.F. Greco, E.R. Murray, K.R. Bujak, M.J. Marr, R. Catrambone, M.A. Kohlmyer, and M.F. Schatz, “Comparing large lecture mechanics curricula using the Force Concept Inventory: a five thousand student study,”
*Am. J. Phys.*,**80**, 638 (2012). - M.D. Caballero, M.A. Kohlmyer, and M.F. Schatz, “Implementing and assessing computational modeling in introductory mechanics,”
*Phys. Rev. ST-PER***8**, 020106 (2012). - P. Cvitanović, D. Borrero-Echeverry, K.M. Carroll, B. Robbins, and E. Siminos, “Cartography of high-dimensional flows: A visual guide to sections and slices,”
*Chaos***22**, 047506 (2012).

### 2011

- K. Wiesenfeld and D. Borrero-Echeverry, “Huygens (and Others) Revisited,”
*Chaos***21**, 047515 (2011). - H. Kurtuldu, K. Mischaikow, and M.F. Schatz, “Measuring the departures from the Boussinesq approximation in Rayleigh-Bénard convection experiments,”
*J. Fluid Mech.***682**, 543-557 (2011). - A.C. Perkins, R.O. Grigoriev, and M.F. Schatz, “Modal Spectra Extracted from Nonequilibrium Fluid Patterns in Laboratory Experiments on Rayleigh-Bénard Convection,”
*Phys. Rev. Lett.***107**, 064501 (2011). - H. Kurtuldu, K. Mischaikow, and M.F. Schatz, “Extensive Scaling from Computational Homology and Karhunen-Loeve Decomposition Analysis of Rayleigh-Bénard Convection Experiments,”
*Phys. Rev. Lett.***107**, 034503 (2011).

### 2010

- D. Borrero-Echeverry, M.F. Schatz, and R. Tagg, “Transient turbulence in Taylor-Couette flow,”
*Phys. Rev. E***81**, 025301(R) (2010).

### 2009

- M. Cornick, B. Hunt, E. Ott, H. Kurtuldu, and M.F. Schatz, “State and parameter estimation of spatiotemporally chaotic systems illustrated by an application to Rayleigh-Bénard convection,”
*Chaos***19**, 013108 (2009). - M.A. Kohlmyer, M.D. Caballero, R. Catrambone, R.W. Chabay, L. Ding, M.P. Haugan, M.J. Marr, B.A. Sherwood, and M.F. Schatz, “Tale of two curricula: The performance of 2000 students in introductory electromagnetism,”
*Phys. Rev. ST-PER***5**, 020105 (2009).

### 2007

- K. Krishan, H. Kurtuldu, M.F. Schatz, M. Gameiro, K. Mischaikow, and S. Madruga, “Homology and symmetry breaking in Rayleigh-Bénard convection: Experiments and simulations,”
*Phys. Fluids***19**, 117105 (2007).

### 2006

- R.O. Grigoriev, M.F. Schatz, and V. Sharma, “Chaotic mixing in microdroplets,”
*Lab on a Chip***6**, 1369-1372 (2006).

### 2005

- J.L. Rogers, W. Pesch, O. Brausch, and M.F. Schatz, “Complex-ordered patterns in shaken convection,”
*Phys. Rev. E***71**, 066214 (2005).

### 2004

- D. Semwogerere and M.F. Schatz, “Secondary instabilities of hexagonal patterns in a Bénard-Marangoni convection experiment,”
*Phys. Rev. Lett.***93**, 124502 (2004).

### 2003

- N. Garnier, R.O. Grigoriev, and M.F. Schatz, “Optical manipulation of microscale fluid flow,”
*Phys. Rev. Lett.***91**, 054501 (2003). - J.L. Rogers, W. Pesch, and M.F. Schatz, “Pattern formation in vertically oscillated convection,”
*Nonlinearity***16**, C1-C10 (2003).

### 2002

- M. Bennett, M.F. Schatz, H. Rockwood, and K. Wiesenfeld, “Huygens’s clocks,”
*Proc. R. Soc. London, Ser. A***458**, 563-579 (2002). - D. Semwogerere and M.F. Schatz, “Evolution of hexagonal patterns from controlled initial conditions in a Bénard-Marangoni convection experiment,”
*Phys. Rev. Lett.***88**, 054501 (2002).

### 2001

- N. Israeli, D. Kandel, M.F. Schatz, and A. Zangwill, “Convective instability of strained layer step flow,”
*Surf. Sci.***494**, L735-L740 (2001). - M.F. Schatz and G.P. Neitzel, “Experiments on thermocapillary instabilities,”
*Annu. Rev. Fluid Mech.***33**, 93-127 (2001).

### 2000

- J.L. Rogers, M.F. Schatz, O. Brausch, and W. Pesch, “Superlattice patterns in vertically oscillated Rayleigh-Bénard convection,”
*Phys. Rev. Lett.***85**, 4281-4284 (2000). - D.R. Howell, B. Buhrow, T. Heath, C. McKenna, W. Hwang, and M.F. Schatz, “Measurements of surface-wave damping in a container,”
*Phys. Fluids***12**, 322-326 (2000). - J.L. Rogers, M.F. Schatz, J.L. Bougie, and J.B. Swift, “Rayleigh-Bénard convection in a vertically oscillated fluid layer,”
*Phys. Rev. Lett.***84**, 87-90 (2000).

### 1999

- M.F. Schatz, S.J. VanHook, W.D. McCormick, J.B. Swift, and H.L. Swinney, “Time-independent square patterns in surface-tension-driven Bénard convection,”
*Phys. Fluids***11**, 2577-2582 (1999).

### 1997

- S.J. VanHook, M.F. Schatz, J.B. Swift, W.D McCormick, and H.L. Swinney, “Long-wavelength surface-tension-driven Bénard convection: experiment and theory,”
*J. Fluid Mech.***345**, 45-78 (1997). - K.A. Muehlner, M.F. Schatz, V. Petrov, W.D. McCormick, J.B. Swift, and H.L. Swinney, “Observation of helical traveling-wave convection in a liquid bridge,”
*Phys. Fluids***9**, 1850-1852 (1997). - S.J. VanHook and M.F. Schatz, “Simple demonstrations of pattern formation,”
*Phys. Teach.***35**, 391-395 (1997).

### 1995

- S.J. VanHook, M.F. Schatz, W.D McCormick, J.B. Swift, and H.L. Swinney, “Long-wavelength Instability In Surface-Tension-Driven Bénard Convection,”
*Phys. Rev. Lett.***75**, 4397-4400 (1995). - M.F. Schatz, S.J. VanHook, W.D. McCormick, J.B. Swift, and H.L. Swinney, “Onset of Surface-Tension-Driven Bénard Convection,”
*Phys. Rev. Lett.***75**, 1938-1941 (1995). - M. F. Schatz and K. Howden, “Purification of silicone oils for fluid experiments,”
*Exp. Fluids***19**, 359-361 (1995). - M.F. Schatz, D. Barkley, and H.L. Swinney, “Instability in a spatially periodic open flow,”
*Phys. Fluids***7**, 344-358 (1995).

### 1992

- M.F. Schatz and H.L. Swinney, “Secondary instability in plane channel flow with spatially periodic perturbations,”
*Phys. Rev. Lett.***69**, 434-437 (1992).

### 1991

- M.F. Schatz, R.P. Tagg, H.L. Swinney, P.F. Fischer, and A.T. Patera, “Supercritical transition in plane channel flow with spatially periodic perturbations,”
*Phys. Rev. Lett.***66**, 1579-1582 (1991).

### Ph.D. Dissertations

- Jeffrey Tithof.
*Novel methods of dimensionality reduction applied to a two-dimensional fluid flow.*Diss., Georgia Institute of Technology, Atlanta, 2016. - Daniel Borrero.
*Subcritical Transition to Turbulence in Taylor-Couette Flow*. Diss., Georgia Institute of Technology, Atlanta, 2014. - Adam C. Perkins.
*Mechanisms of instability in Rayleigh-Bénard convection*. Diss., Georgia Institute of Technology, Atlanta, 2011. - Marcos D. Caballero.
*Evaluating and Extending a Novel Course Reform of Introductory Mechanics*. Diss., Georgia Institute of Technology, Atlanta, 2011. - Hüseyin Kurtuldu.
*New methods of characterizing spatio-temporal patterns in laboratory experiments*. Diss., Georgia Institute of Technology, Atlanta, 2010. - Kapilanjan Krishan.
*Characterizations of spatio-temporal complex systems*. Diss., Georgia Institute of Technology, Atlanta, 2005. - Denis B. Semwogerere.
*Wave Number Selection and Defect Dynamics in Patterns with Hexagonal Symmetry*. Diss., Georgia Institute of Technology, Atlanta, 2003. - Jeffrey L. Rogers.
*Modulated pattern formation: stabilization, complex-order, and symmetry*. Diss., Georgia Institute of Technology, Atlanta, 2001.

### Masters Theses

- John M. Aiken.
*Transforming High School Physics with Modeling and Computation*. Masters Thesis, Georgia State University, Atlanta, 2013. (Co-advisor, Brian D. Thoms at GSU).