14 citations · 48 across the 7 of their papers we have counts for
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math-ph2013
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…
math-ph2013
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…
math-ph2010★ 14 cited
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…