Rossby waves are a pervasive feature of the large-scale motions of the Earth's atmosphere
and oceans. These waves (also known as planetary waves and r-modes) also play an …

We relate the model of vorticity wave interaction to Krein collision, PT-symmetry breaking,
and the formation of exceptional points in shear flow instabilities. We show that the …

The Holmboe wave instability is one of the classic examples of a stratified shear instability,
usually explained as the result of a resonance between a gravity wave and a vorticity wave …

One mechanistic interpretation of baroclinic instability is that of mutual constructive
interference of Rossby edge waves. The suppression of baroclinic instability over slopes has …

A minimal model of linearized two-dimensional shear instabilities can be formulated in terms
of an action-at-a-distance, phase-locking resonance between two vorticity waves, which …

This study is a direct follow-up of the paper by Heifetz and Guha [Phys. Rev. E 100, 043105
(2019) 2470-0045 10.1103/PhysRevE. 100.043105] on a minimal nonlinear dynamical …

Here we show how Feynman's simplified model for the Josephson junction, as a
macroscopic two-state coupled quantum system, has a one-to-one correspondence with the …

We establish a link between vorticity wave interaction and $\mathcal {PT} $-symmetry
breaking in shear flow instabilities. The minimal dynamical system for two coupled counter …

Stably stratified shear flows, in which a less dense layer of fluid lies above and moves
counter to a more dense layer below, are ubiquitous in geophysical fluid dynamics. These …