I am a Professor of Applied Mathematics at Brown University. My research focuses on nonlinear waves and pattern formation, and more generally on dynamical systems, data science, and applications to biological systems (eg stripe formation on zebrafish and mRNA localization in frog oocytes).
I received my undergraduate degree from the University of Heidelberg and my PhD from the University in Stuttgart. Before coming to Brown in 2008, I worked at The Ohio State University and the University of Surrey in England. I received an Alfred P Sloan Research Fellowship, the SIAM JD Crawford Prize, a Royal Society Wolfson Research Merit Award, and the Elsevier Jack Hale Award. I am also the recipient of the Philip Bray Award for Teaching Excellence, the Graduate School Faculty Award for Advising and Mentoring, and a Royce Family Professorship of Teaching Excellence.
At Brown, I served as department chair, as vice chair of the Research Advisory Board, and as member of the Tenure, Promotions, and Appointments Committee, the Data Governance Committee, and the Advisory Board of the Sheridan Center. I am one of the founding principal investigators of the NSF grant that established Brown's Institute for Computational and Experimental Research in Mathematics (ICERM).
Makrides, Elizabeth, Sandstede, Björn. "Existence and stability of spatially localized patterns." Journal of Differential Equations, vol. 266, no. 2-3, 2019, pp. 1073-1120. |
Barker, Blake, Nguyen, Rose, Sandstede, Björn, Ventura, Nathaniel, Wahl, Colin. "Computing Evans functions numerically via boundary-value problems." Physica D: Nonlinear Phenomena, vol. 367, 2018, pp. 1-10. |
de Rijk, Björn, Sandstede, Björn. "Diffusive stability against nonlocalized perturbations of planar wave trains in reaction–diffusion systems." Journal of Differential Equations, vol. 265, no. 10, 2018, pp. 5315-5351. |
McNamara, Harold M., Dodson, Stephanie, Huang, Yi-Lin, Miller, Evan W., Sandstede, Björn, Cohen, Adam E. "Geometry-Dependent Arrhythmias in Electrically Excitable Tissues." Cell Systems, vol. 7, no. 4, 2018, pp. 359-370.e6. |
Volkening, Alexandria, Sandstede, Björn. "Iridophores as a source of robustness in zebrafish stripes and variability in Danio patterns." Nature Communications, vol. 9, no. 1, 2018. |
Carter, Paul, Sandstede, Björn. "Unpeeling a Homoclinic Banana in the FitzHugh--Nagumo System." SIAM Journal on Applied Dynamical Systems, vol. 17, no. 1, 2018, pp. 236-349. |
Ciocanel MV, Kreiling JA, Gagnon JA, Mowry KL, Sandstede B. "Analysis of Active Transport by Fluorescence Recovery after Photobleaching." Biophysical Journal, vol. 112, no. 8, 2017, pp. 1714-1725. |
Slivinski, Laura, Spiller, Elaine, Apte, Amit, Sandstede, Björn. "A Hybrid Particle–Ensemble Kalman Filter for Lagrangian Data Assimilation." Mon. Wea. Rev., vol. 143, no. 1, 2015, pp. 195-211. |
Guckenheimer, John, Krauskopf, Bernd, Osinga, Hinke M., Sandstede, Björn. "Invariant manifolds and global bifurcations." Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 25, no. 9, 2015, pp. 097604. |
Volkening, Alexandria, Sandstede, Björn. "Modelling stripe formation in zebrafish: an agent-based approach." Journal of The Royal Society Interface, vol. 12, no. 112, 2015, pp. 20150812. |
van Heijster, Peter, Sandstede, Björn. "Bifurcations to travelling planar spots in a three-component FitzHugh–Nagumo system." Physica D: Nonlinear Phenomena, vol. 275, 2014, pp. 19-34. |
Carter, Paul, Christiansen, Peter Leth, Gaididei, Yuri B., Gorria, Carlos, Sandstede, Björn, Sørensen, Mads Peter, Starke, Jens. "Multijam Solutions in Traffic Models with Velocity-Dependent Driver Strategies." SIAM J. Appl. Math., vol. 74, no. 6, 2014, pp. 1895-1918. |
Beck, Margaret, Nguyen, Toan T, Sandstede, Björn, Zumbrun, Kevin. "Nonlinear stability of source defects in the complex Ginzburg–Landau equation." nonlinearity, vol. 27, no. 4, 2014, pp. 739-786. |
McQuighan, Kelly, Sandstede, Björn. "Oscillons in the planar Ginzburg–Landau equation with 2 : 1 forcing." nonlinearity, vol. 27, no. 12, 2014, pp. 3073-3116. |
Makrides, Elizabeth, Sandstede, Björn. "Predicting the bifurcation structure of localized snaking patterns." Physica D: Nonlinear Phenomena, vol. 268, 2014, pp. 59-78. |
Sandstede, Björn. "Homoclinic Flip Bifurcations in Conservative Reversible Systems." Recent Trends in Dynamical Systems, 2013, pp. 107-123. |
McCalla, S. G., Sandstede, B. "Spots in the Swift--Hohenberg Equation." SIAM Journal on Applied Dynamical Systems, vol. 12, no. 2, 2013, pp. 831-877. |
Sandstede, Björn, Scheel, Arnd, Schneider, Guido, Uecker, Hannes. "Diffusive mixing of periodic wave trains in reaction–diffusion systems." Journal of Differential Equations, vol. 252, no. 5, 2012, pp. 3541-3574. |
Beyn, Wolf-Jürgen, Fiedler, Bernold, Sandstede, Björn. "Dynamics of Patterns." Oberwolfach Rep., vol. 9, no. 4, 2012, pp. 3549-3633. |
Sandstede, Björn, Xu, Yancong. "Snakes and isolas in non-reversible conservative systems." Dynamical Systems, vol. 27, no. 3, 2012, pp. 317-329. |
Hupkes, H. J., Sandstede, B. "Stability of pulse solutions for the discrete FitzHugh–Nagumo system." Trans. Amer. Math. Soc., vol. 365, no. 1, 2012, pp. 251-301. |
Beck, Margaret, Nguyen, Toan, Sandstede, Björn, Zumbrun, Kevin. "Towards nonlinear stability of sources via a modified Burgers equation." Physica D: Nonlinear Phenomena, vol. 241, no. 4, 2012, pp. 382-392. |
Derks, Gianne, Maad Sasane, Sara, Sandstede, Björn. "Perturbations of embedded eigenvalues for the planar bilaplacian." Journal of Functional Analysis, vol. 260, no. 2, 2011, pp. 340-398. |
van Heijster, Peter, Sandstede, Björn. "Planar Radial Spots in a Three-Component FitzHugh–Nagumo System." J Nonlinear Sci, vol. 21, no. 5, 2011, pp. 705-745. |
Hupkes, H. J., Pelinovsky, D., Sandstede, B. "Propagation failure in the discrete Nagumo equation." Proceedings of the American Mathematical Society, vol. 139, no. 10, 2011, pp. 3537-3537. |
Oh, Myunghyun, Sandstede, Björn. "Evans functions for periodic waves on infinite cylindrical domains." Journal of Differential Equations, vol. 248, no. 3, 2010, pp. 544-555. |
Knobloch, Jürgen, Lloyd, David J. B., Sandstede, Björn, Wagenknecht, Thomas. "Isolas of 2-Pulse Solutions in Homoclinic Snaking Scenarios." J Dyn Diff Equat, vol. 23, no. 1, 2010, pp. 93-114. |
Beck, Margaret, Hupkes, Hermen Jan, Sandstede, Björn, Zumbrun, Kevin. "Nonlinear Stability of Semidiscrete Shocks for Two-Sided Schemes." SIAM Journal on Mathematical Analysis, vol. 42, no. 2, 2010, pp. 857-903. |
McCalla, Scott, Sandstede, Björn. "Snaking of radial solutions of the multi-dimensional Swift–Hohenberg equation: A numerical study." Physica D: Nonlinear Phenomena, vol. 239, no. 16, 2010, pp. 1581-1592. |
Obeid, D., Kosterlitz, J. M., Sandstede, B. "State selection in the noisy stabilized Kuramoto-Sivashinsky equation." Physical Review E, vol. 81, no. 6, 2010. |
Avitabile, Daniele, Lloyd, David J. B., Burke, John, Knobloch, Edgar, Sandstede, Björn. "To Snake or Not to Snake in the Planar Swift–Hohenberg Equation." SIAM Journal on Applied Dynamical Systems, vol. 9, no. 3, 2010, pp. 704-733. |
Hupkes, Hermen Jan, Sandstede, Björn. "Traveling Pulse Solutions for the Discrete FitzHugh–Nagumo System." SIAM Journal on Applied Dynamical Systems, vol. 9, no. 3, 2010, pp. 827-882. |
Manukian, Vahagn, Costanzino, Nicola, Jones, Christopher K. R. T., Sandstede, Björn. "Existence of Multi-Pulses of the Regularized Short-Pulse and Ostrovsky Equations." J Dyn Diff Equat, vol. 21, no. 4, 2009, pp. 607-622. |
Lloyd, David, Sandstede, Björn. "Localized radial solutions of the Swift–Hohenberg equation." nonlinearity, vol. 22, no. 2, 2009, pp. 485-524. |
Hupkes, Hermen Jan, Sandstede, Björn. "Modulated Wave Trains in Lattice Differential Systems." J Dyn Diff Equat, vol. 21, no. 3, 2009, pp. 417-485. |
Manukian, Vahagn, Sandstede, Björn. "Multi-hump pulses in systems with reflection and phase invariance." Journal of Differential Equations, vol. 247, no. 6, 2009, pp. 1866-1898. |
Beck, Margaret, Ghazaryan, Anna, Sandstede, Björn. "Nonlinear convective stability of travelling fronts near Turing and Hopf instabilities." Journal of Differential Equations, vol. 246, no. 11, 2009, pp. 4371-4390. |
Beck, Margaret, Sandstede, Björn, Zumbrun, Kevin. "Nonlinear Stability of Time-Periodic Viscous Shocks." Archive for Rational Mechanics and Analysis, vol. 196, no. 3, 2009, pp. 1011-1076. |
Bale, Brandon G., Kutz, J. Nathan, Sandstede, BjÖrn. "Optimizing Waveguide Array Mode-Locking for High-Power Fiber Lasers." IEEE J. Select. Topics Quantum Electron., vol. 15, no. 1, 2009, pp. 220-231. |
Beck, Margaret, Knobloch, Jürgen, Lloyd, David J. B., Sandstede, Björn, Wagenknecht, Thomas. "Snakes, Ladders, and Isolas of Localized Patterns." SIAM Journal on Mathematical Analysis, vol. 41, no. 3, 2009, pp. 936-972. |
Doelman, Arjen, Sandstede, Björn, Scheel, Arnd, Schneider, Guido. "The dynamics of modulated wave trains." Memoirs of the American Mathematical Society, vol. 199, no. 934, 2009, pp. 0-0. |
Beyn, Wolf-Jürgen, Fiedler, Bernold, Sandstede, Björn. "Dynamics of Patterns." Oberwolfach Rep., 2008, pp. 3201-3271. |
Sandstede, Björn, Scheel, Arnd. "Hopf Bifurcation From Viscous Shock Waves." SIAM Journal on Mathematical Analysis, vol. 39, no. 6, 2008, pp. 2033-2052. |
Lloyd, David J. B., Sandstede, Björn, Avitabile, Daniele, Champneys, Alan R. "Localized Hexagon Patterns of the Planar Swift–Hohenberg Equation." SIAM Journal on Applied Dynamical Systems, vol. 7, no. 3, 2008, pp. 1049-1100. |
Sandstede, Björn, Maad, Sara, Derks, Gianne. "Perturbations of embedded eigenvalues for the bilaplacian on a cylinder." Discrete and Continuous Dynamical Systems, vol. 21, no. 3, 2008, pp. 801-821. |
Kutz, J. Nathan, Sandstede, Björn. "Theory of passive harmonic mode-locking using waveguide arrays." Opt. Express, vol. 16, no. 2, 2008, pp. 636. |
Rademacher, Jens D.M., Sandstede, Björn, Scheel, Arnd. "Computing absolute and essential spectra using continuation." Physica D: Nonlinear Phenomena, vol. 229, no. 2, 2007, pp. 166-183. |
Kutz, J. Nathan, Sandstede, Bjorn. "Dynamics of Passive Harmonic Mode-Locking." Nonlinear Photonics, 2007. |
SANDSTEDE, BJÖRN. "EVANS FUNCTIONS AND NONLINEAR STABILITY OF TRAVELING WAVES IN NEURONAL NETWORK MODELS." International Journal of Bifurcation and Chaos, vol. 17, no. 08, 2007, pp. 2693-2704. |
Ghazaryan, Anna, Sandstede, Björn. "Nonlinear Convective Instability of Turing‐Unstable Fronts near Onset: A Case Study." SIAM Journal on Applied Dynamical Systems, vol. 6, no. 2, 2007, pp. 319-347. |
Sandstede, Björn, Scheel, Arnd. "Period-Doubling of Spiral Waves and Defects." SIAM Journal on Applied Dynamical Systems, vol. 6, no. 2, 2007, pp. 494-547. |
Scheel, Arnd, Sandstede, Björn. "Relative Morse indices, Fredholm indices, and group velocities." Discrete and Continuous Dynamical Systems, vol. 20, no. 1, 2007, pp. 139-158. |
Sandstede, Björn, Scheel, Arnd. "Curvature effects on spiral spectra: Generation of point eigenvalues near branch points." Physical Review E, vol. 73, no. 1, 2006. |
Humpherys, Jeffrey, Sandstede, Björn, Zumbrun, Kevin. "Efficient Computation of Analytic Bases in Evans Function Analysis of Large Systems." Numer. Math., vol. 103, no. 4, 2006, pp. 631-642. |
Sandstede, Björn, Scheel, Arnd. "Basin boundaries and bifurcations near convective instabilities: a case study." Journal of Differential Equations, vol. 208, no. 1, 2005, pp. 176-193. |
Kapitula, Todd, Kevrekidis, Panayotis G., Sandstede, Björn. "Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems." Physica D: Nonlinear Phenomena, vol. 201, no. 1-2, 2005, pp. 199-201. |
Samaey, Giovanni, Sandstede, Björn. "Determining stability of pulses for partial differential equations with time delays." Dynamical Systems, vol. 20, no. 2, 2005, pp. 201-222. |
Groves, M.D., Sandstede, B. "A Plethora of Three-Dimensional Periodic Travelling Gravity-Capillary Water Waves with Multipulse Transverse Profiles." J Nonlinear Sci, vol. 14, no. 3, 2004. |
Groves, M. D., Sandstede, B. "A plethora of three-dimensional periodic travelling gravity-capillary water waves with multipulse transverse profiles." J Nonlinear Sci, vol. 14, no. 3, 2004, pp. 297-340. |
Sandstede, Björn, Scheel, Arnd. "Absolute instabilities of standing pulses." nonlinearity, vol. 18, no. 1, 2004, pp. 331-378. |
Kapitula, Todd, Kevrekidis, Panayotis G., Sandstede, Björn. "Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems." Physica D: Nonlinear Phenomena, vol. 195, no. 3-4, 2004, pp. 263-282. |
Sandstede, Björn, Scheel, Arnd. "Defects in Oscillatory Media: Toward a Classification." SIAM Journal on Applied Dynamical Systems, vol. 3, no. 1, 2004, pp. 1-68. |
Kapitula, Todd, Sandstede, Björn. "Eigenvalues and resonances using the Evans function." Discrete and Continuous Dynamical Systems, vol. 10, no. 4, 2004, pp. 857-869. |
Sandstede, Björn, Scheel, Arnd. "Evans function and blow-up methods in critical eigenvalue problems." Discrete and Continuous Dynamical Systems, vol. 10, no. 4, 2004, pp. 941-964. |
Kapitula, Todd, Kutz, Nathan, Sandstede, Bjorn. "The Evans function for nonlocal equations." Indiana University Mathematics Journal, vol. 53, no. 4, 2004, pp. 1095-1126. |
Grenier, Emmanuel, Jones, Christopher K R T, Rousset, Frederic, Sandstede, Björn. "Viscous perturbations of marginally stable Euler flow and finite-time Melnikov theory." nonlinearity, vol. 18, no. 2, 2004, pp. 465-483. |
Sandstede, Bjorn, Scheel, Arnd. "Essential instabilities of fronts: bifurcation, and bifurcation failure." Dynamical Systems, vol. 16, no. 1, 2001, pp. 1-28. |
The theoretical part of my research focuses on the formation and the dynamics of patterns and nonlinear waves: recent projects include the nonlinear stability of coherent structures, and I usually employ a range of analytical techniques, supplemented by numerical computations. I also work on applications in biology, climate, data assimilation, and traffic flow.
Recent grants include
Year | Degree | Institution |
---|---|---|
1993 | PhD | University of Stuttgart |
1990 | MA | University of Heidelberg |
Name | Title |
---|---|
Mowry, Kimberly | Robin Chemers Neustein Professor of Biomedicine, Chair of Molecular Biology, Cell Biology and Biochemistry |
Ramachandran, Sohini | Associate Professor of Biology, Director of the Center for Computational Molecular Biology, Interim Director of Data Science, Associate Professor of Computer Science |
I have taught a range of courses for undergraduate and graduate students and am very interested in involving undergraduates in my research. I have developed tutorial lectures and minicourses for graduate-student training workshops, and my group runs an active weekly reading group series.
APMA 0350 - Applied Ordinary Differential Equations |
APMA 1360 - Topics in Chaotic Dynamics |
APMA 1910 - Race and Gender in the Scientific Community |