336 citations · 3.5k across the 72 of their papers we have counts for
6 papers · 1 filter
Quasi-Objective Eddy Visualization from Sparse Drifter Data
Alex P. Encinas Bartos, Nikolas O. Aksamit, George Haller
We employ a recently developed single-trajectory Lagrangian diagnostic tool, the trajectory rotation average , to visualize oceanic vortices (or eddies…
Data-driven Nonlinear Model Reduction to Spectral Submanifolds in Mechanical Systems
Mattia Cenedese, Joar Axås, Haocheng Yang +2
While data-driven model reduction techniques are well-established for linearizable mechanical systems, general approaches to reducing non-linearizable systems with multiple coexist…
Nonlinear analysis of forced mechanical systems with internal resonance using spectral submanifolds, Part II: Bifurcation and quasi-periodic response
Mingwu Li, George Haller
In Part I of this paper, we have used spectral submanifold (SSM) theory to construct reduced-order models for harmonically excited mechanical systems with internal resonances. In t…
Objective Momentum Barriers in Wall Turbulence
Nikolas O. Aksamit, George Haller
We use the recent frame-indifferent theory of diffusive momentum transport to identify internal barriers in wall-bounded turbulence. Formed by the invariant manifolds of the Laplac…
Nonlinear analysis of forced mechanical systems with internal resonance using spectral submanifolds, Part I: Periodic response and forced response curve
Mingwu Li, Shobhit Jain, George Haller
We show how spectral submanifold theory can be used to construct reduced-order models for harmonically excited mechanical systems with internal resonances. Efficient calculations o…
How to Compute Invariant Manifolds and their Reduced Dynamics in High-Dimensional Finite-Element Models
Shobhit Jain, George Haller
Invariant manifolds are important constructs for the quantitative and qualitative understanding of nonlinear phenomena in dynamical systems. In nonlinear damped mechanical systems,…