11 citations · 38 across the 9 of their papers we have counts for
10 papers
Unifying Lyapunov exponents with probabilistic uncertainty quantification
Liam Blake, John Maclean, Sanjeeva Balasuriya
The Lyapunov exponent is well-known in deterministic dynamical systems as a measure for quantifying chaos and detecting coherent regions in physically evolving systems. In this Let…
The convergence of stochastic differential equations to their linearisation in small noise limits
Liam Blake, John Maclean, Sanjeeva Balasuriya
Prediction via deterministic continuous-time models will always be subject to model error, for example due to unexplainable phenomena, uncertainties in any data driving the model,…
Globally optimal stretching foliations of dynamical systems reveal the organizing skeleton of intensive instabilities
Sanjeeva Balasuriya, Erik Bollt
Understanding instabilities in dynamical systems drives to the heart of modern chaos theory, whether forecasting or attempting to control future outcomes. Instabilities in the sens…
Melnikov theory for two-dimensional manifolds in three-dimensional flows
K. G. D. Sulalitha Priyankara, Sanjeeva Balasuriya, Erik Bollt
We present a Melnikov method to analyze two-dimensional stable or unstable manifolds associated with a saddle point in three-dimensional non-volume preserving autonomous systems. T…
Quantifying the role of folding in nonautonomous flows: the unsteady Double-Gyre
K. G. D. Sulalitha Priyankara, Sanjeeva Balasuriya, Erik Bollt
We analyze chaos in the well-known nonautonomous Double-Gyre system. A key focus is on folding, which is possibly the less-studied aspect of the "stretching + folding = chaos" mant…
Transport between two fluids across their mutual flow interface: the streakline approach
Sanjeeva Balasuriya
Mixing between two different miscible fluids with a mutual interface must be initiated by fluid transporting across this fluid interface, caused for example by applying an unsteady…