14 citations · 48 across the 7 of their papers we have counts for
8 papers
From Critical Transitions to Sustainability Transformations: Phenomena, Theory, and Applications Across Disciplines
Elisabeth H. Krueger, Koustav Halder, Woi Oh +17
There has been a recent surge in the use of terms describing systemic change processes across science, policy, and public debate. The associated change phenomena are often assumed…
Phase Transitions and the Theory of Early Warning Indicators for Critical Transitions
George I. Hagstrom, Simon A. Levin
Critical transitions, or large changes in the state of a system after a small change in the system's external conditions or parameters, commonly occur in a wide variety of discipli…
Travelling Waves in Hall-MHD and the Ion-Acoustic Shock Structure
George I. Hagstrom, Eliezer Hameiri
Hall-MHD is a mixed hyperbolic-parabolic partial differential equation that describes the dynamics of an ideal two fluid plasma with massless electrons. We study the only shock wav…
Continuum Hamiltonian Hopf Bifurcation II
G. I. Hagstrom, P. J. Morrison
Building on the development of [MOR13], bifurcation of unstable modes that emerge from continuous spectra in a class of infinite-dimensional noncanonical Hamiltonian systems is inv…
Continuum Hamiltonian Hopf Bifurcation I
Philip J. Morrison, George I. Hagstrom
Hamiltonian bifurcations in the context of noncanonical Hamiltonian matter models are described. First, a large class of 1 + 1 Hamiltonian multi-fluid models is considered. These m…
Bounds on Surface Stress Driven Shear Flow
George I. Hagstrom, Charles R. Doering
The background method is adapted to derive rigorous limits on surface speeds and bulk energy dissipation for shear stress driven flow in two and three dimensional channels. By-prod…
Caldeira-Leggett Model, Landau Damping, and the Vlasov-Poisson System
George I. Hagstrom, P. J. Morrison
The Caldeira-Leggett Hamiltonian (Eq. (1) below) describes the interaction of a discrete harmonic oscillator with a continuous bath of harmonic oscillators. This system is a standa…
On Krein-like theorems for noncanonical Hamiltonian systems with continuous spectra: application to Vlasov-Poisson
George I. Hagstrom, Philip J. Morrison
The notions of spectral stability and the spectrum for the Vlasov-Poisson system linearized about homogeneous equilibria, f_0(v), are reviewed. Structural stability is reviewed and…