94 citations · 677 across the 51 of their papers we have counts for
51 papers
New links between invariant dynamical structures and uncertainty quantification
Guillermo Garcia-Sanchez, Ana Maria Mancho, Makrina Agaoglou +1
This paper proposes a new uncertainty measure, appropriate for quantifying the performance of transport models in assessing the origin or source of a given observation. It is found…
Bifurcation of Dividing Surfaces Constructed from Period-Doubling Bifurcations of Periodic Orbits in a Caldera Potential Energy Surface
Matthaios Katsanikas, Makrina Agaoglou, Stephen Wiggins
In this work we analyze the bifurcation of dividing surfaces that occurs as a result of two period-doubling bifurcations in a 2D caldera-type potential. We study the structure, the…
Launching Drifter Observations in the Presence of Uncertainty
Nan Chen, Evelyn Lunasin, Stephen Wiggins
Determining the optimal locations for placing extra observational measurements has practical significance. However, the exact underlying flow field is never known in practice. Sign…
Lagrangian Descriptors with Uncertainty
Nan Chen, Evelyn Lunasin, Stephen Wiggins
Lagrangian descriptors provide a global dynamical picture of the geometric structures for arbitrarily time-dependent flows with broad applications. This paper develops a mathematic…
Navigating Phase Space Transport with the Origin-Fate Map
Malcolm Hillebrand, Matthaios Katsanikas, Stephen Wiggins +1
We introduce and demonstrate the usage of the origin-fate map (OFM) as a tool for the detailed investigation of phase space transport in reactant-product type systems. For these sy…
Performance of chaos diagnostics based on Lagrangian descriptors. Application to the 4D standard map
Sebastian Zimper, Arnold Ngapasare, Malcolm Hillebrand +3
We investigate the ability of simple diagnostics based on Lagrangian descriptor (LD) computations of initially nearby orbits to detect chaos in conservative dynamical systems with…