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Geometric mechanics

Geometric mechanics is a branch of mathematics applying particular geometric methods to many areas of mechanics, from mechanics of particles and… 
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Related topics

Related topics

3 relations
Computational anatomyControl theoryNoether's theorem

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2019
2019
Deep network as memory space: complexity, generalization, disentangled representation and interpretability
By bridging deep networks and physics, the programme of geometrization of deep networks was proposed as a framework for the… 
2013
2013
Dynamics and Balance Control of the Reaction Mass Pendulum ( RMP ) : A 3 D Multibody Pendulum with Variable Body Inertia
Pendulum models have been studied as benchmark problems for development of nonlinear control schemes, as well as reduced-order… 
2005
2005
GEOMETRIC MECHANICS ON A STEP $4$ SUBRIEMANNIAN MANIFOLD
In this paper we study the behavior of subRiemannian geodesics on a certain step $4$ subRiemannian manifold. We compute the… 
2002
2002
Controllability of a class of underactuated mechanical systems with symmetry
2002
2002
A differential equations approach to Hamiltonian systems
2001
2001
Lie Algebroid generalization of geometric mechanics
Some recent progress in the geometric foundations of mechanics in Lie algebroids, and in particular in Lagrangian mechanics, is… 
1999
1999
Generalized Serret-Andoyer Transformation and Applications for the Controlled Rigid Body
AbstractThe Serret-Andoyer transformation is a classical method for reducing the free rigid body dynamics, expressed in Eulerian… 
Highly Cited
1998
Highly Cited
1998
Symplectic Reduction for Semidirect Products and Central Extensions.
1997
1997
The geometric structure of nonholonomic mechanics
  • W. KoonJ. Marsden
  • Proceedings of the 36th IEEE Conference on…
  • 1997
  • Corpus ID: 5714573
Many important problems in multibody dynamics, the dynamics of wheeled vehicles and motion generation, involve nonholonomic… 
Review
1995
Review
1995
Aspects of Geometric Mechanics and Control of Mechanical Systems
Many interesting control systems are mechanical control systems. In spite of this, there has not been much effort to develop… 
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