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Phase space structure and fractal trajectories in 1½ degree of freedom Hamiltonian systems whose time dependence is quasiperiodic
Phase space structure fractal trajectories freedom Hamiltonian systems time dependence
2009/11/13
We consider particle motion in nonautonomous 1 degree of freedom Hamiltonian systems for which H(p,q,t) depends on N periodic functions of t with incommensurable frequencies. It is shown that in near-...
Hochschild and cyclic homology of ½-algebras
noncommutative geometry Hochschild and cyclic homology ½ -algebras quaternionic algebra
2009/1/7
In this paper we present our construction of the Hochschild
and cyclic homology of a ½-algebra. We show that these constructions
are generalizations of the Hochschild homology and cyclic homo...
Energy Diagnostics in a 1½-Layer, Nonisopycnic Model
Energy Diagnostics Nonisopycnic Model a 1½ -Layer
2008/11/24
The development of a pointwise (in the horizontal) energy diagnostic scheme applicable to a 1½-layer, nonisopycnic, primitive equation model is presented. The scheme utilizes the concept of ava...
Vortex Merging in a 1½-Layer Fluid on an f Plane
Vortex Merging 1½ -Layer Fluid f Plane
2008/6/26
Mass, angular momentum, and energy budgets are examined in an analytical model of vortex merging relevant to midlatitude mesoscale eddies. The vortices are baroclinic and cyclogeostrophic. The fluid s...
Eddy Formation in 2½-Layer, Quasigeostrophic Jets
Eddy Formation 2½ -Layer Quasigeostrophic Jets
2008/6/4
The formation of nonlinear eddies in unstable 2½-layer, quasigeostrophic jets is investigated using a piecewise constant potential vorticity, “contour dynamical” model. Both infinite and semi-i...