11 citations · 38 across the 9 of their papers we have counts for
7 papers · 1 filter
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,…
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…
Impulsive perturbations to differential equations: stable/unstable pseudo-manifolds, heteroclinic connections, and flux
Sanjeeva Balasuriya
State-dependent time-impulsive perturbations to a two-dimensional autonomous flow with stable and unstable manifolds are analysed by posing in terms of an integral equation which i…
Local stable and unstable manifolds and their control in nonautonomous finite-time flows
Sanjeeva Balasuriya
It is well-known that stable and unstable manifolds strongly influence fluid motion in unsteady flows. These emanate from hyperbolic trajectories, with the structures moving nonaut…