## The Geometry of most probable trajectories in noise-driven dynamical systems

Publication
, Conference

Neu, JC; Ghanta, A; Teitsworth, SW

Published in: Springer Proceedings in Mathematics and Statistics

January 1, 2018

This paper presents a heuristic derivation of a geometric minimum action method that can be used to determine most-probable transition paths in noise-driven dynamical systems. Particular attention is focused on systems that violate detailed balance, and the role of the stochastic vorticity tensor is emphasized. The general method is explored through a detailed study of a two-dimensional quadratic shear flow which exhibits bifurcating most-probable transition pathways.

### Duke Scholars

## Published In

Springer Proceedings in Mathematics and Statistics

## DOI

## EISSN

2194-1017

## ISSN

2194-1009

## Publication Date

January 1, 2018

## Volume

232

## Start / End Page

153 / 167

### Citation

APA

Chicago

ICMJE

MLA

NLM

Neu, J. C., Ghanta, A., & Teitsworth, S. W. (2018). The Geometry of most probable trajectories in noise-driven dynamical systems. In

*Springer Proceedings in Mathematics and Statistics*(Vol. 232, pp. 153–167). https://doi.org/10.1007/978-3-319-76599-0_9Neu, J. C., A. Ghanta, and S. W. Teitsworth. “The Geometry of most probable trajectories in noise-driven dynamical systems.” In

*Springer Proceedings in Mathematics and Statistics*, 232:153–67, 2018. https://doi.org/10.1007/978-3-319-76599-0_9.Neu JC, Ghanta A, Teitsworth SW. The Geometry of most probable trajectories in noise-driven dynamical systems. In: Springer Proceedings in Mathematics and Statistics. 2018. p. 153–67.

Neu, J. C., et al. “The Geometry of most probable trajectories in noise-driven dynamical systems.”

*Springer Proceedings in Mathematics and Statistics*, vol. 232, 2018, pp. 153–67.*Scopus*, doi:10.1007/978-3-319-76599-0_9.Neu JC, Ghanta A, Teitsworth SW. The Geometry of most probable trajectories in noise-driven dynamical systems. Springer Proceedings in Mathematics and Statistics. 2018. p. 153–167.

## Published In

Springer Proceedings in Mathematics and Statistics

## DOI

## EISSN

2194-1017

## ISSN

2194-1009

## Publication Date

January 1, 2018

## Volume

232

## Start / End Page

153 / 167