Balasuriya, S. (Editor)   Applied Analysis of Ordinary Differential Equations, MDPI, Basel (2019).

Balasuriya, S.   Nonautonomous flows as open dynamical systems: characterising escape rates and time-varying boundaries. In: Ergodic Theory, Open Dynamics and Coherent Structures, Editors: Wael Bahsoun, Christopher Bose and Gary Froyland. Springer Proceedings in Mathematics Series, pp 1-30 (2014).

McGowan, S., Jones, N., Robertson, W. and Balasuriya, S.   Data driven dynamic modal bias analysis and correction for Earth system models,   submitted (2024).

Blake, L., Maclean, J. and Balasuriya, S.   Unifying Lyapunov exponents with probabilistic uncertainty quantification,   submitted (2024). arXiv

Balasuriya, S. and Mittinty, M.   Robust log-likelihood maximization in binary regression,   submitted (2023).

Balasuriya, S., and Bollt, E.   Globally optimal stretching foliations of dynamical systems reveal the organizing skeleton of intensive instabilities,   submitted (2023).

Michalski, H., Mattner, T., Balasuriya, S. and Binder, B.   The effect of obstacle length and height in subcritical free-surface flow,   Theoretical and Computational Fluid Dynamics 38 511-530 (2024).

Blake, L., Maclean, J. and Balasuriya, S.   The convergence of stochastic differential equations to their linearisation in small noise limits,   submitted (2023). arXiv

McGowan, S., Robertson, W., , Blachut, C. and Balasuriya, S.   Optimal reconstruction of vector fields from data for prediction and uncertainty quantification,   Journal of Nonlinear Science 34, 73 (2024).

Blachut, C. and Balasuriya, S.   Convective modes reveal the incoherence of the Southern Polar Vortex,   Scientific Reports 14, 966 (2024). [open source]

Badza, A., Mattner, T. and Balasuriya, S.   How sensitive are Lagrangian coherent structures to uncertainties in data?   Physica D 444, 133580 (2023). preprint

Priyankara, K.G.S., Balasuriya, S. and Bollt, E.   Melnikov theory for two-dimensional manifolds in three-dimensional flows,   SIAM Journal on Applied Dynamical Systems, 21, 2642-2696 (2022).

Tam, A., Harding, B., Green, J., Balasuriya, S. and Binder, B.   Thin film lubrication model for biofilm expansion under strong adhesion,   Physical Review E 105, 014408 (2022).

Balasuriya, S.   Stochastic approaches to Lagrangian coherent structures,   Advanced Studies in Pure Mathematics 85, 95-104 (2021). preprint

Zhang, L. and Balasuriya, S.   Controlling trajectories globally via spatiotemporal finite-time optimal control, SIAM Journal on Applied Dynamical Systems 19, 1609-1632 (2020). preprint

Balasuriya, S.   Uncertainty in Finite-Time Lyapunov Exponent computations, Journal of Computational Dynamics 7, 313-337 (2020). preprint

Balasuriya, S.   Stochastic sensitivity: a computable Lagrangian uncertainty measure for unsteady flows, SIAM Review 62 781-816 (2020). preprint

Fang, L., Balasuriya, S. and Ouellette, N.T.   Disentangling resolution, precision, and inherent stochasticity in nonlinear systems, Physical Review Research 2, 023343 (2020). reprint

Tam, A., Green, J.E.F., Balasuriya, S., Tek, E.L., Garner, J.M., Sundstrom, J.F., Jiranek, V. and Binder, B.   A thin-film extensional flow model for biofilm expansion by sliding motility, Proceedings of the Royal Society A 475, 20190175 (2019). reprint

Fang, L., Balasuriya, S. and Ouellette, N.T.   Local linearity, coherent structures, and scale-to-scale coupling in turbulent flow, Physical Review Fluids 4, 014501 (2019). reprint

Balasuriya, S. and Gottwald, G.A.   Estimating stable and unstable sets and their role as transport barriers in stochastic flows, Physical Review E 98, 013106 (2018). preprint   featured in "Kaleidoscope"

Balasuriya, S., Ouellette, N.T. and Rypina, I.I.   Generalized Lagrangian coherent structures, Physica D 372, 31-51 (2018). preprint

Tam, A., Green, J.E.F., Balasuriya, S., Tek, E., Gardner, J., Sundstrom, J., Jiranek, V., and Binder, B.   Nutrient-limited growth with non-linear cell diffusion as a mechanism for floral pattern formation in yeast biofilms, Journal of Theoretical Biology 448, 122-141 (2018). reprint

Tronnolone, H., Tam, A., Szenczi, Z., Green, J.E.F.,   Balasuriya, S., Tek, E., Gardner, J., Sundstrom, J., Jiranek, V.,   Oliver, S., and Binder, B.   Diffusion-limited growth of microbial colonies. Scientific Reports 8 , 5992 (2018).

Balasuriya, S.   Stochastic uncertainty of advected curves in finite-time unsteady flows, Physical Review E 95, 062201 (2017). preprint

Balasuriya, S.   Transport between two fluids across their mutual flow interface: the streakline approach, SIAM Journal on Applied Dynamical Systems 16, 1015-1044 (2017). preprint

Balasuriya, S.   Unsteadily manipulating internal flow barriers, Journal of Fluid Mechanics 818, 382-406 (2017). preprint

Priyankara, K.G.S., Balasuriya, S. and Bollt, E.   Quantifying the role of folding in nonautonomous flows: the unsteady double gyre, International Journal of Bifurcation and Chaos 27, 1750156 (2017). arXiv

Balasuriya, S.   Impulsive perturbations to differential equations: stable/unstable pseudo-manifolds, heteroclinic connections and flux, Nonlinearity 29, 3897-3933 (2016). arXiv

Balasuriya, S.   A numerical scheme for computing stable and unstable manifolds in nonautonomous flows, International Journal of Bifurcation and Chaos 26, 1630041 (2016). ResearchGate

Balasuriya, S., Kalampattel, R. and Ouellette, N.   Hyperbolic neighborhoods as organizers of finite-time exponential stretching, Journal of Fluid Mechanics 807, 509-545 (2016). preprint

Balasuriya, S.   Meridional and zonal wavenumber dependence of tracer flux in Rossby waves, Fluids (special issue on geophysical fluid dynamics) 1, 30 (2016). Open-Access

Balasuriya, S.   Local stable and unstable manifolds and their control in nonautonomous finite-time flows, Journal of Nonlinear Science 4, 895-927 (2016). arXiv

Sewalt, L., Harley, K., van Heijster, P.,   and Balasuriya, S.   Influences of Allee effects in the spreading of malignant tumours, Journal of Theoretical Biology 394, 77-92 (2016). reprint

Binder, B.J.,   Blyth, M.G.   and Balasuriya, S.   Steady free-surface flow over spatially periodic topography, Journal of Fluid Mechanics 781, R3 (2015).

Balasuriya, S.   Dynamical systems techniques for enhancing microfluidic mixing, Journal of Micromechanics and Microengineering 25, 094005 (2015). preprint

Balasuriya, S.   Quantifying transport within a two-cell microdroplet induced by circular and sharp channel bends, Physics of Fluids 27, 052005 (2015). preprint

Balasuriya, S. and Padberg-Gehle, K.   Accurate control of hyperbolic trajectories in any dimension, Physical Review E 90, 032903 (2014). pdf

Balasuriya, S. and Binder, B.J.   Nonautonomous analysis of steady Korteweg-de Vries waves under nonlocalised forcing, Physica D 285, 28-41 (2014). preprint

Balasuriya, S., Froyland, G. and Santitissadeekorn, N.   Absolute flux optimising curves on a surface, Journal of Mathematical Analysis and Applications 409, 119-139 (2014). pdf

Balasuriya, S. and Padberg-Gehle, K.   Nonautonomous control of stable and unstable manifolds in two-dimensional flows, Physica D 276, 48-60 (2014). preprint

Binder, B.J.,   Blyth, M.G.   and Balasuriya, S.   Nonuniqueness of steady free-surface flow at critical Froude number, Europhysics Letters 105, 44003 (2014). pdf

Balasuriya, S. and Padberg-Gehle, K.   Controlling the unsteady analogue of saddle stagnation points, SIAM Journal on Applied Mathematics 73, 1038-1057 (2013). pdf

Balasuriya, S.   Explicit invariant manifolds and specialised trajectories in a class of unsteady flows, Physics of Fluids 24, 127101 (2012). pdf

Balasuriya, S. and Finn, M.D.   Energy constrained transport maximization across a fluid interface, Physical Review Letters 108, 244503 (2012). pdf

Balasuriya, S.   A tangential displacement theory for locating perturbed saddles and their manifolds, SIAM Journal on Applied Dynamical Systems 10, 1100-1126 (2011).

Balasuriya, S.   Invasions with density-dependent ecological parameters, Journal of Theoretical Biology 266, 657-666 (2010). pdf

Balasuriya, S.   Optimal frequency for microfluidic mixing across a fluid interface, Physical Review Letters 105, 064501 (2010). pdf

Balasuriya, S. and Gottwald, G.A.   Wavespeed in reaction-diffusion systems, with applications to chemotaxis and population pressure, Journal of Mathematical Biology 61, 377-399 (2010). pdf

Balasuriya, S.   Species spreading due to environmental hostility, dispersal adaptation and Allee effects, Proceedings of the International Conference on Mathematical Biology and Ecology (World Academy of Science, Engineering and Technology) 65, 833-839 (Tokyo, Japan, 2010).

Balasuriya, S. and Volpert, V.A.   Wavespeed analysis: approximating Arrhenius kinetics with step-function kinetics, Combustion Theory and Modelling 12, 643-670 (2008). pdf

Balasuriya, S. Separatrix splitting under high-frequency non-smooth perturbations, Dynamics of Continuous, Discrete and Impulsive Systems, Series A -- Mathematical Analysis 14, 333-343 (2007).

Balasuriya, S., Gottwald, G.A., Hornibrook, J. and Lafortune, S.   High Lewis number combustion wavefronts: a perturbative Melnikov analysis, SIAM Journal on Applied Mathematics 67, 464-486 (2007). pdf

Balasuriya, S. Cross-separatrix flux in time-aperiodic and time-impulsive flows, Nonlinearity 19, 2775-2795 (2006). pdf

Balasuriya, S. Approach for maximizing chaotic mixing in micro-fluidic devices, Physics of Fluids 17, 118103 (2005). pdf

Balasuriya, S. Direct chaotic flux quantification in perturbed planar flows: general time-periodicity, SIAM Journal on Applied Dynamical Systems 4, 282-311 (2005). pdf

Balasuriya, S. Optimal perturbation for enhanced chaotic transport, Physica D 202, 155-176 (2005).

Balasuriya, S. An analytical study of general hyper-diffusivity and barotropic eddies, Geophysical and Astrophysical Fluid Dynamics 98, 39-62 (2004). pdf   [Top 10 Downloads from GAFD ]

Balasuriya, S., Mezic, I. and Jones, C.K.R.T.   Weak finite-time Melnikov theory and 3-D viscous perturbations of Euler flows, Physica D 176, 82-106 (2003).

Balasuriya, S. Gradient evolution for potential vorticity flows, Nonlinear Processes in Geophysics 8, 253-263 (2001). pdf

Balasuriya, S. and Jones, C.K.R.T.   Diffusive draining and growth of eddies, Nonlinear Processes in Geophysics 8, 241-251 (2001). pdf

Sandstede, B., Balasuriya, S., Jones, C.K.R.T. and Miller, P.D.   Melnikov theory for finite-time vector fields, Nonlinearity 13, 1357-1377 (2000). pdf

Balasuriya, S. Lifetime and illness in almost deterministic maps, Journal of Mathematical Analysis and Applications 235, 274-294 (1999). pdf

Balasuriya, S., Jones, C.K.R.T. and Sandstede, B.   Viscous perturbations of vorticity-conserving flows and separatrix splitting, Nonlinearity 11, 47-77 (1998). pdf

Balasuriya, S. Vanishing viscosity in the barotropic β-plane, Journal of Mathematical Analysis and Applications 214, 128-150 (1997). pdf

Balasuriya, S. Uncertainties in Lagrangian prediction,   DS Web (Dynamical Systems Magazine), January (2020).

Balasuriya, S.,   Crommelin, D.,   Froyland, G.,   Monahan, A.,   Ouellette, N. and Zanna, L.   Transport in unsteady flows: from deterministic structures to stochastic models and back again , Banff International Research Station for Mathematical Innovation and Discovery Workshop Reports, January 15-20 (2017) pdf

Balasuriya, S. Flow barriers in realistic flows, and their relationship to invariant manifolds, Oberwolfach Reports 11, No. 1, p270-272, doi: 10.4171/OWR/2014/4 (2014). pdf

Balasuriya, S. Teaching time-savers: reacting to analysis, MAA Focus (newsmagazine of the Mathematical Association of America) 28, 4: 8-9 (April 2008).

Balasuriya, S. Planar Coordinate Geometry, iv+143pp, 209 problems, ISBN 955-96996-0-X (Sampath Printing Industries, Kadugannawa, Sri Lanka, 1998).