189 citations · 1.6k across the 88 of their papers we have counts for
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Higher order Hamiltonian fluid reduction of Vlasov equation
Maxime Perin, Cristel Chandre, Philip Morrison +1
From the Hamiltonian structure of the Vlasov equation, we build a Hamiltonian model for the first three moments of the Vlasov distribution function, namely, the density, the moment…
Hamiltonian formulation of the modified Hasegawa Mima equation
Cristel Chandre, Philip J. Morrison, Emanuele Tassi
We derive the Hamiltonian structure of the modified Hasegawa-Mima equation from the ion fluid equations applying Dirac's theory of constraints. We discuss the Casimirs obtained fro…
Effective transport barriers in nontwist systems
J. D. Szezech, I. L. Caldas, S. R. Lopes +2
In fluids and plasmas with zonal flow reversed shear, a peculiar kind of transport barrier appears in the shearless region, one that is associated with a proper route of transition…
Finite-time rotation number: a fast indicator for chaotic dynamical structures
J. D. Szezech, A. B. Schelin, I. L. Caldas +3
Lagrangian coherent structures are effective barriers, sticky regions, that separate phase space regions of different dynamical behavior. The usual way to detect such structures is…
Derivation of reduced two-dimensional fluid models via Dirac's theory of constrained Hamiltonian systems
Cristel Chandre, Emanuele Tassi, Philip J. Morrison
We present a Hamiltonian derivation of a class of reduced plasma two-dimensional fluid models, an example being the Charney-Hasegawa-Mima equation. These models are obtained from t…
Hamiltonian derivation of the Charney-Hasegawa-Mima equation
Emanuele Tassi, Cristel Chandre, Philip J. Morrison
The Charney-Hasegawa-Mima equation is an infinite-dimensional Hamiltonian system with dynamics generated by a noncanonical Poisson bracket. Here a first principle Hamiltonian deriv…
On a new fixed point of the renormalization group operator for area-preserving maps
K. Fuchss, A. Wurm, P. J. Morrison
The breakup of the shearless invariant torus with winding number is studied numerically using Greene's residue criterion in the standard nontwist map. The residue be…
Meanders and Reconnection-Collision Sequences in the Standard Nontwist Map
A. Wurm, A. Apte, K. Fuchss +1
New global periodic orbit collision/separatrix reconnection scenarios in the standard nontwist map in different regions of parameter space are described in detail, including exact…
The Twisted Top
Jean-Luc Thiffeault, P. J. Morrison
We describe a new type of top, the twisted top, obtained by appending a cocycle to the Lie-Poisson bracket for the charged heavy top, thus breaking its semidirect product structure…