# Applied Koopmanism.

@article{Budii2012AppliedK, title={Applied Koopmanism.}, author={Marko Budi{\vs}i{\'c} and Ryan Mohr and Igor Mezic}, journal={Chaos}, year={2012}, volume={22 4}, pages={ 047510 } }

A majority of methods from dynamical system analysis, especially those in applied settings, rely on Poincaré's geometric picture that focuses on "dynamics of states." While this picture has fueled our field for a century, it has shown difficulties in handling high-dimensional, ill-described, and uncertain systems, which are more and more common in engineered systems design and analysis of "big data" measurements. This overview article presents an alternative framework for dynamical systems… CONTINUE READING

Create an AI-powered research feed to stay up to date with new papers like this posted to ArXiv

#### Citations

##### Publications citing this paper.

SHOWING 1-10 OF 212 CITATIONS

## Extending Data-Driven Koopman Analysis to Actuated Systems

VIEW 6 EXCERPTS

CITES METHODS & BACKGROUND

HIGHLY INFLUENCED

## Physics-Informed Probabilistic Learning of Linear Embeddings of Non-linear Dynamics With Guaranteed Stability

VIEW 6 EXCERPTS

CITES BACKGROUND & METHODS

HIGHLY INFLUENCED

## Nonlinear Power System Analysis Using Koopman Mode Decomposition and Perturbation Theory

VIEW 13 EXCERPTS

HIGHLY INFLUENCED

## Koopman Operator Family Spectrum for Nonautonomous Systems - Part 1

VIEW 7 EXCERPTS

CITES BACKGROUND & METHODS

HIGHLY INFLUENCED

## Applied Koopman Operator Theory for Power Systems Technology

VIEW 7 EXCERPTS

CITES BACKGROUND

## Koopman Operator Methods for Global Phase Space Exploration of Equivariant Dynamical Systems

VIEW 13 EXCERPTS

CITES BACKGROUND & METHODS

HIGHLY INFLUENCED

## Koopman performance analysis of a class of nonlinear dynamical networks

VIEW 7 EXCERPTS

CITES METHODS & BACKGROUND

HIGHLY INFLUENCED

## On Koopman and dynamic mode decompositions for application to dynamic data with low spatial dimension

VIEW 5 EXCERPTS

CITES BACKGROUND & METHODS

## On the numerical approximation of the Perron-Frobenius and Koopman operator

VIEW 4 EXCERPTS

CITES BACKGROUND & METHODS

HIGHLY INFLUENCED

## Multi-Way Partitioning of Power Networks via Koopman Mode Analysis

VIEW 13 EXCERPTS

CITES METHODS

HIGHLY INFLUENCED

### FILTER CITATIONS BY YEAR

### CITATION STATISTICS

**23**Highly Influenced Citations**Averaged 45 Citations**per year from 2017 through 2019**16% Increase**in citations per year in 2019 over 2018

#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 18 REFERENCES