221 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- ETH ZurichCH39 papers
- Technical University of MunichDE4 papers
- Massachusetts Institute of TechnologyUS3 papers
- University of MiamiUS3 papers
- Institute of Environmental EngineeringPL2 papers
- Max Planck University of Twente Center for Complex Fluid DynamicsNL2 papers
- Swiss Federal Institute for Forest, Snow and Landscape ResearchCH2 papers
- University of TwenteNL2 papers
- Woods Hole Oceanographic InstitutionUS2 papers
- Brown UniversityUS1 paper
- Centre National de la Recherche ScientifiqueFR1 paper
- École Normale Supérieure de LyonFR1 paper
15 papers · 1 filter
Stability of Forced-Damped Response in Mechanical Systems from a Melnikov Analysis
Mattia Cenedese, George Haller
Frequency responses of multi-degree-of-freedom mechanical systems with weak forcing and damping can be studied as perturbations from their conservative limit. Specifically, recent…
How do Conservative Backbone Curves Perturb into Forced Responses? A Melnikov Function Analysis
Mattia Cenedese, George Haller
Weakly damped mechanical systems under small periodic forcing tend to exhibit periodic response in a close vicinity of certain periodic orbits of their conservative limit. Specific…
Non-Existence of Periodic Orbits for Forced-Damped Potential Systems in Bounded Domains
Florian Kogelbauer
We prove Lr-estimates on periodic solutions of periodically-forced, linearly-damped mechanical systems with polynomially-bounded potentials. The estimates are applied to obtain a n…
Explicit Third-Order Model Reduction Formulas for General Nonlinear Mechanical Systems
Zsolt Veraszto, Sten Ponsioen, George Haller
For general nonlinear mechanical systems, we derive closed-form, reduced-order models up to cubic order based on rigorous invariant manifold results. For conservative systems, the…
Fast Computation of Steady-State Response for Nonlinear Vibrations of High-Degree-of-Freedom Systems
Shobhit Jain, Thomas Breunung, George Haller
We discuss an integral equation approach that enables fast computation of the response of nonlinear multi-degree-of-freedom mechanical systems under periodic and quasi-periodic ext…
Automated Computation of Autonomous Spectral Submanifolds for Nonlinear Modal Analysis
Sten Ponsioen, Tiemo Pedergnana, George Haller
We discuss an automated computational methodology for computing two-dimensional spectral submanifolds (SSMs) in autonomous nonlinear mechanical systems of arbitrary degrees of free…
Exact Nonlinear Model Reduction for a von Karman beam: Slow-Fast Decomposition and Spectral Submanifolds
Shobhit Jain, Paolo Tiso, George Haller
We apply two recently formulated mathematical techniques, Slow-Fast Decomposition (SFD) and Spectral Submanifold (SSM) reduction, to a von Karman beam with geometric nonlinearities…
Nonlinear model identification and spectral submanifolds for multi-degree-of-freedom mechanical vibrations
Robert Szalai, David Ehrhardt, George Haller
In a nonlinear oscillatory system, spectral submanifolds (SSMs) are the smoothest invariant manifolds tangent to linear modal subspaces of an equilibrium. Amplitude-frequency plots…
An Autonomous Dynamical System Captures all LCSs in Three-Dimensional Unsteady Flows
David Oettinger, George Haller
Lagrangian coherent structures (LCSs) are material surfaces that shape finite-time tracer patterns in flows with arbitrary time dependence. Depending on their deformation propertie…
Objective Eulerian Coherent Structures
Mattia Serra, George Haller
We define objective Eulerian Coherent Structures (OECSs) in two-dimensional, non-autonomous dynamical systems as instantaneously most influential material curves. Specifically, OEC…
Attracting Lagrangian Coherent Structures on Riemannian manifolds
Daniel Karrasch
It is a wide-spread convention to identify repelling Lagrangian Coherent Structures (LCSs) with ridges of the forward finite-time Lyapunov exponent (FTLE) field, and attracting LCS…
Shearless transport barriers in unsteady two-dimensional flows and maps
Mohammad Farazmand, Daniel Blazevski, George Haller
We develop a variational principle that extends the notion of a shearless transport barrier from steady to general unsteady two-dimensional flows and maps defined over a finite tim…
Hyperbolic and Elliptic Transport Barriers in Three-Dimensional Unsteady Flows
Daniel Blazevski, George Haller
We develop a general theory of transport barriers for three-dimensional unsteady flows with arbitrary time-dependence. The barriers are obtained as two-dimensional Lagrangian Coher…
Do Finite-Size Lyapunov Exponents Detect Coherent Structures?
Daniel Karrasch, George Haller
Ridges of the Finite-Size Lyapunov Exponent (FSLE) field have been used as indicators of hyperbolic Lagrangian Coherent Structures (LCSs). A rigorous mathematical link between the…
Attracting and repelling Lagrangian coherent structures from a single computation
Mohammad Farazmand, George Haller
Hyperbolic Lagrangian Coherent Structures (LCSs) are locally most repelling or most attracting material surfaces in a finite-time dynamical system. To identify both types of hyperb…