267 citations · 1.1k across the 40 of their papers we have counts for
7 papers · 1 filter
Targets and Holes
P. Giulietti, P. Koltai, S. Vaienti
We address the extreme value problem of a one-dimensional dynamical system approaching a fixed target while constrained to avoid a fixed set which can be thought of as a small hole…
Lagrangian coherent sets in turbulent Rayleigh-Bénard convection
Christiane Schneide, Martin Stahn, Ambrish Pandey +4
Coherent circulation rolls and their relevance for the turbulent heat transfer in a two-dimensional Rayleigh--Bénard convection model are analyzed. The flow is in a closed cell of…
Dimensionality Reduction of Complex Metastable Systems via Kernel Embeddings of Transition Manifolds
Andreas Bittracher, Stefan Klus, Boumediene Hamzi +2
We present a novel kernel-based machine learning algorithm for identifying the low-dimensional geometry of the effective dynamics of high-dimensional multiscale stochastic systems.…
Revealing the intrinsic geometry of finite dimensional invariant sets of infinite dimensional dynamical systems
Raphael Gerlach, Péter Koltai, Michael Dellnitz
Embedding techniques allow the approximations of finite dimensional attractors and manifolds of infinite dimensional dynamical systems via subdivision and continuation methods. The…
Computation and optimal perturbation of finite-time coherent sets for aperiodic flows without trajectory integration
Gary Froyland, Péter Koltai, Martin Stahn
Understanding the macroscopic behavior of dynamical systems is an important tool to unravel transport mechanisms in complex flows. A decomposition of the state space into coherent…
Spectral Properties of Effective Dynamics from Conditional Expectations
Feliks Nüske, Péter Koltai, Lorenzo Boninsegna +1
The reduction of high-dimensional systems to effective models on a smaller set of variables is an essential task in many areas of science. For stochastic dynamics governed by diffu…