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Structure-Preserving Model-Reduction of Dissipative Hamiltonian Systems

Publications associées (37)

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Symmetry Reduced Dynamics of Charged Molecular Strands

Tudor Ratiu, François Gay-Balmaz

The equations of motion are derived for the dynamical folding of charged molecular strands (such as DNA) modeled as flexible continuous filamentary distributions of interacting rigid charge conformations. The new feature is that these equations are nonloca ...

Springer-Verlag2010

Finite Element Model of Hydro Generators Coupled to a Grid Simulation Software

Gilles Rosselet

For the simulation of electrical power systems (adjustable speed drives, wind farms, complete grids, etc.) the Kirchhoff's model is used. Each of the components of this model (transmission line, circuit breaker, electrical machines, etc.) is represented by ...

EPFL2010

Ground state properties of large atoms and quantum dots

Rico Rueedi

We investigate the ground state properties of large atoms and quantum dots described by a d-dimensional N-body Hamiltonian of confinement ZV. In atoms, d = 3 and V is the Coulomb interaction; in dots, d = 2 and V is phenomenologically determined. We expres ...

EPFL2009

The Momentum Map In Poisson Geometry

Tudor Ratiu, Juan-Pablo Ortega

Every action on a Poisson manifold by Poisson diffeomorphisms lifts to a Hamiltonian action on its symplectic groupoid which has a canonically defined momentum map. We study various properties of this momentum map as well as its use in reduction. ...

2009

Numerical Modelling of a HTS Cable

Francesco Grilli, Bertrand Dutoit

The finite element method has been employed in order to simulate the behaviour of a HTS cable for transport current applications. The E-J model includes an anisotropic dependence of the critical current density Jc and power index n on the local magnetic fi ...

2003

Dissipative evolution of quantum statistical ensembles and nonlinear response to a time-periodic perturbation

Jean-Philippe Ansermet, François Reuse, Jacques Van Der Klink

We present a detailed discussion of the evolution of a statistical ensemble of quantum mechanical systems coupled weakly to a bath. The Hilbert space of the full system is given by the tensor product between the Hilbert spaces associated with the bath and ...

2003

Electric circuit analysis

The contribution of Lausanne Polytechnic to the development of modern methods of analysis of power networks, in particular to the activities of a group of engineers constituting the `Electric Network Studies Centre', is described ...

1978