75 citations · 397 across the 23 of their papers we have counts for
Showing 2021Show all
3 papers · 1 filter
math.DS2021
Is the Finite-Time Lyapunov Exponent Field a Koopman Eigenfunction?
Erik M. Bollt, Shane D. Ross
This work serves as a bridge between two approaches to analysis of dynamical systems: the local, geometric analysis and the global, operator theoretic, Koopman analysis. We explici…
nlin.CD2021
Transition criteria and phase space structures in a three degree of freedom system with dissipation
Jun Zhong, Shane D. Ross
Escape from a potential well through an index-1 saddle can be widely found in some important physical systems. Knowing the criteria and phase space geometry that govern escape even…
physics.data-an2021★ 4 cited
Beach-level 24-hour forecasts of Florida red tide-induced respiratory irritation
Shane D. Ross, Jeremie Fish, Klaus Moeltner +3
An accurate forecast of the red tide respiratory irritation level would improve the lives of many people living in areas affected by algal blooms. Using a decades-long database of…