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Symmetry breaking in mechanical systems

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Supersymmetric vacua in N=2 supergravity

Paul Smyth

We use the embedding tensor formalism to analyse maximally symmetric backgrounds of N = 2 gauged supergravities which have the full N = 2 supersymmetry. We state the condition for N = 2 vacua and discuss some of their general properties. We show that if th ...

Springer2012

The Dixmier Map for Nilpotent Super Lie Algebras

In this article we prove that there exists a Dixmier map for nilpotent super Lie algebras. In other words, if we denote by Prim(U(g)) the set of (graded) primitive ideals of the enveloping algebra U(g) of a nilpotent Lie superalgebra g and Ad0 the adjoint ...

2012

Reaching and grasping kitchenware objects

Aude Billard, Ashwini Shukla, José Santos-Victor, Alexandre Bernardino

We integrate software components that allow ef- ficient and successful grasping of kitchenware objects. The contributed components include: The object pose detector, the gripper reaching motion and the grasp hypothesis selection. The object pose detector o ...

2012

Periodic orbits near onset of chaos in plane Couette flow

Tobias Klaus Kreilos

We track the secondary bifurcations of coherent states in plane Couette flow and show that they undergo a periodic doubling cascade that ends with a crisis bifurcation. We introduce a symbolic dynamics for the orbits and show that the ones that exist fall ...

2012

A Dynamical System Approach to Realtime Obstacle Avoidance

Aude Billard, Seyed Mohammad Khansari Zadeh

This paper presents a novel approach to real-time obstacle avoidance based on dynamical systems (DS) that ensures impenetrability of multiple convex shaped objects. The proposed method can be applied to perform obstacle avoidance in Cartesian and Joint spa ...

Springer Verlag2012

Quotient method for stabilising a ball-on-a-wheel system – Experimental results

Dominique Bonvin, Philippe Müllhaupt, Killian Mark Daly

This paper extends the quotient method proposed in [1] and applies it to stabilize a “ball-on-a-wheel” system. The quotient method requires a diffeomorphism to obtain the normal form of the input vector field and uses canonical pro- jection to obtain the q ...

2012

ON THE QUATERNIONIC p-ADIC L-FUNCTIONS ASSOCIATED TO HILBERT MODULAR EIGENFORMS

Jeanine Marie Van Order

We construct p-adic L-functions associated to cuspidal Hilbert modular eigenforms of parallel weight two in certain dihedral or anticyclotomic extensions via the Jacquet-Langlands correspondence, generalizing works of Bertolini-Darmon, Vatsal and others. T ...

2012

Dirac Group(oid)s and Their Homogeneous Spaces

Madeleine Jotz

A theorem of Drinfel'd (Drinfel'd (1993)) classifies the Poisson homogeneous spaces of a Poisson Lie group (G,πG) via a special class of Lagrangian subalgebras of the Drinfel'd double of its Lie bialgebra. This result is extended in Liu et al. (1998) to a ...

EPFL2011

Overview of toroidal momentum transport

Basil Duval, Yann Camenen, Alessandro Bortolon, Giovanni Tardini

Toroidal momentum transport mechanisms are reviewed and put in a broader perspective. The generation of a finite momentum flux is closely related to the breaking of symmetry (parity) along the field. The symmetry argument allows for the systematic identifi ...

2011

Overview of toroidal momentum transport

Basil Duval, Yann Camenen, Alessandro Bortolon, Lucia Isabel Federspiel, Giovanni Tardini

2011