Haller Group | Nonlinear Dynamics

We develop nonlinear dynamical systems methods to solve complex problems in applied science and engineering.

We specialize in devising analytical and numerical techniques for dynamics problems with nonstandard features: high-dimensionality, strong nonlinearity, time-dependence or multi-scale nature.

Such problems are also often defined through spatially and temporally limited data sets, not by equations. Examples include the analysis of transport processes and coherence in the ocean and the atmosphere, real-time detection of aerial turbulence near airports, theory and control of unsteady aerodynamic separation, dynamics of inertial particles under memory effects, and dynamic transition state theory in chemical reaction dynamics.


Nonlinear Dynamics Seminars


March 2, 2018, 15:00-16:00, LEE M 207.
Thomas Breunung - "Time-varying Spectral Submanifolds: Calculation of Backbone Curves and Forced Response”.


January 19, 2018, 11:00-12:00, LEE M 207.
Florian Kogelbauer - "Convergence of SSMs to LSMs".


December 19, 2017, 15:00-16:00, LEE M 207.
Sten Ponsioen - "Computation of Non-autonomous Spectral Submanifolds using Automatic Differentiation”.

Latest Research

September 7, 2018

BarrierTool: A MATLAB user interface developed by our group for the automated calculation of advective, diffusive and stochastic transport barriers in two-dimensional velocity data. [View]


G. Haller, D. Karrasch & F. Kogelbauer, Material barriers to diffusive and stochastic transport. Proc. Natl. Acad. Sci. U.S.A., published online (2018). [PDF] [Supporting Information]


M. Serra, J. Vétel & G. Haller, Exact Theory of Material Spike Formation in Flow Separation. J. Fluid Mech. (2018) 845, 51-92. [View PDF]


F. J. Beron-Vera, A. Hadjighasem, Q. Xia, M. J. Olascoaga & G. Haller, Coherent Lagrangian swirls among submesoscale motions. Proc. Natl. Acad. Sci. U.S.A. (2018) 201701392 [View PDF][Supporting information]


S. Ponsioen, T. Pedergnana & G. Haller, Automated Computation of Autonomous Spectral Submanifolds for Nonlinear Modal Analysis. J. Sound Vib. 420 (2018) 269-295 [View PDF]


M. Serra, P. Sathe, F. Beron-Vera & G. Haller, Uncovering the Edge of the Polar Vortex. J. Atm. Sci. 74 (2017) 3871–3885 [View PDF]


Latest News

August 8, 2018

APS Focus on our research on invisible traps in pipes
View APS Focus article: [View]


Mattia Serra receives the inaugural Schmidt science fellowship
Congratulations to Mattia on receiving this fellowship!.
View press release in Forbes: [View]
View press release in PR Newswire: [View]
More about the Schmidt Science Fellows: [View]


David Oettinger appointed at ELCA
Congratulations to David on his Ph.D. defence and on his new position at ELCA!.
More about ELCA: [View]


Mattia Serra appointed as postdoc at Harvard
Congratulations to Mattia on his Ph.D. defence and on his new postdoctoral position at Harvard University! [View].


New group members: Mattia Cenedese and Stergios Katsanoulis
Welcome on board, Mattia and Stergios! [Meet the team].


Press Archive

News-walls of water'Black holes' of the ocean could curb climate change. New Scientist, 2013

Publications Archive

Publications
The Maxey--Riley equation: Existence, uniqueness and regularity of solutions

Software Development

Academic Development at nonlinear dynamicsLCS Tool performs computations for the analysis of Lagrangian coherent structures.