16 citations · 24 across the 10 of their papers we have counts for
10 papers
Koopman early warning signals for bifurcation and rate-induced tipping
Juan Nathaniel, Carla Roesch, Derek DeSantis +5
Abrupt transitions in complex systems are often preceded by early warning signals. However, most indicators rely on the notion of critical slowing down and do not generally extend…
On Entropic Characterization of Symmetry Breaking in Dynamical Systems I: Spontaneous and Dynamical Symmetry Breaking
Subhrajit Sinha, Parvathi Kooloth
We propose a novel framework to analyze symmetry breaking in dynamical systems through the lens of entropy and information transfer. Information transfer quantifies the directional…
On Entropic Characterization of Symmetry Breaking in Dynamical Systems I: Spontaneous Symmetry Breaking
Subhrajit Sinha, Parvathi Kooloth
Symmetry breaking is a central organizing principle of nonlinear dynamics, yet its information-theoretic signatures remain poorly understood. In this work, we develop an entropic f…
Nonlocal, Pattern-aware Response and Feedback Framework for Regional Climate Change
Parvathi Kooloth, Jian Lu, Yi Huang +4
We devise a pattern-aware feedback framework for representing the forced climate response using a suite of Green's function experiments with solar radiation perturbations. By consi…
Causal Discovery in Nonlinear Dynamical Systems using Koopman Operators
Adam Rupe, Derek DeSantis, Craig Bakker +2
We present a theory of causality in dynamical systems using Koopman operators. Our theory is grounded on a rigorous definition of causal mechanism in dynamical systems given in ter…
How optimal control of polar sea-ice depends on its tipping points
Parvathi Kooloth, Jian Lu, Craig Bakker +2
Several Earth system components are at a high risk of undergoing rapid and irreversible qualitative changes or `tipping', due to increasing climate warming. Potential tipping eleme…
Non-conservation and conservation for different formulations of moist potential vorticity
Parvathi Kooloth, Leslie M. Smith, Samuel N. Stechmann
Potential vorticity (PV) is one of the most important quantities in atmospheric science. The PV of each fluid parcel is known to be conserved in the case of a dry atmosphere. Howev…
Conservation laws for potential vorticity in a salty ocean or cloudy atmosphere
Parvathi Kooloth, Leslie M. Smith, Samuel N. Stechmann
One of the most important conservation laws in atmospheric and oceanic science is conservation of potential vorticity. The original derivation is approximately a century old, in th…
Hamilton's Principle with Phase Changes and Conservation Principles for Moist Potential Vorticity
Parvathi Kooloth, Leslie M. Smith, Samuel N. Stechmann
Many definitions of moist potential vorticity (PV) have been proposed to extend the dry theory of Ertel PV. None of the moist PV definitions seem to have all of the desirable prope…
Coherent Solutions and Transition to Turbulence in Two-Dimensional Rayleigh-Bénard Convection
Parvathi Kooloth, David Sondak, Leslie M. Smith
For two-dimensional Rayleigh-Bénard convection, classes of unstable, steady solutions were previously computed using numerical continuation (Waleffe, 2015; Sondak, 2015). The `prim…