4 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 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…
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…
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…