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Averaging of Hamiltonian Flows with an Ergodic Component
Rapid movement white noise the vector field perturbation function
2015/9/28
We consider a process on T 2, which consists of the fast motion along the stream lines of an incompressible periodic vector field perturbed by white noise. It gives rise to a process on the grap...
A simple Hamiltonian manifold is a closed connected symplectic manifold equipped with a Hamiltonian action of a torus T with moment map : M → t, such that MT has exactly two
connected components, ...
Construction of homogeneous Lagrangian submanifolds in $\CP^n$ and Hamiltonian stability
Lagrangian submanifolds Hamiltonian stability
2010/11/19
We apply the concept of castling transform of prehomogeneous vector spaces to produce new examples of minimal homogeneous Lagrangian submanifolds in the complex projective space. Furthermore we verify...
Piecewise Linear Hamiltonian Flows Associated to Zero-Sum Games: Transition Combinatorics and Questions on Ergodicity
Piecewise Linear Hamiltonian Flows Zero-Sum Games
2010/11/15
In this paper we consider a class of piecewise affine Hamiltonian vector fields whose orbits are piecewise straight lines. We give a first classification result of such systems and show that the orbit...
Mathematical results on some models describing the motion of a tracer particle through a Bose-Einstein condensate are described. In the limit of a very dense, very weakly interacting Bose gas and for...
Non-Hamiltonian generalizations of the dispersionless 2DTL hierarchy
Non-Hamiltonian dispersionless 2DTL hierarchy
2010/4/2
We consider two-component integrable generalizations of the dispersionless 2DTL hierarchy connected with non-Hamiltonian vector fields, similar to the Manakov-Santini hierarchy generalizing the dKP hi...
Controlling Effect of Geometrically Defined Local Structural Changes on Chaotic Hamiltonian Systems
Chaotic Hamiltonian Systems Local Structural Changes
2010/4/1
An effective characterization of chaotic conservative Hamiltonian systems in terms of the curvature associated with a Riemannian metric tensor derived from the structure of the Hamiltonian has been ex...