Author(s): Mignacca M; Brugiapaglia S; Bramburger JJ;

Dynamic mode decomposition (DMD) is a numerical method that seeks to fit time-series data to a linear dynamical system. In doing so, DMD decomposes dynamic data into spatially coherent modes that evolve in time according to exponential growth/decay or with a fixed frequency of oscillation. A widespread application of DMD has been to video, where one inter ...

Article GUID: 40421310

Author(s): Nicolaou ZG; Bramburger JJ;

Localized phenomena abound in nature and throughout the physical sciences. Some universal mechanisms for localization have been characterized, such as in the snaking bifurcations of localized steady states in pattern-forming partial differential equations. While much of this understanding has been targeted at steady states, recent studies have noted compl ...

Article GUID: 38252783

Author(s): Kaheman K; Fasel U; Bramburger JJ; Strom B; Kutz JN; Brunton SL;

The single, double, and triple pendulum has served as an illustrative experimental benchmark system for scientists to study dynamical behavior for more than four centuries. The pendulum system exhibits a wide range of interesting behaviors, from simple harmonic motion in the single pendulum to chaotic dynamics in multi-arm pendulums. Under forcing, even t ...

Article GUID: 37637793