Lagrangian system

In mathematics, a Lagrangian system is a pair (Y, L), consisting of a smooth fiber bundle Y → X and a Lagrangian density L, which yields the Euler… (More)
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1982-2018
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Papers overview

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2009
2009
Lagrangian systems with ideal nonholonomic constraints can be expressed as implicit index 2 differential-algebraic equations… (More)
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2008
2008
In this paper, we prove a Morse index theorem for the index form of regular Lagrangian system with selfadjoint boundary condition… (More)
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Highly Cited
2006
Highly Cited
2006
Part I of this paper introduced the notion of implicit Lagrangian systems and their geometric structure was explored in the… (More)
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2006
2006
This paper develops the notion of implicit Lagrangian systems and presents some of their basic properties in the context of Dirac… (More)
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2004
2004
We develop reduction theory for controlled Lagrangian and controlled Hamiltonian systems with symmetry. Reduction theory for… (More)
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2003
2003
We study the existence of closed characteristics on three-dimensional energy manifolds of second-order Lagrangian systems. These… (More)
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2001
2001
This paper suggests an inverse optimal proportional–integral–derivative (PID) control design method to track trajectories in… (More)
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2001
2001
We consider a special class of Lagrangians that play a fundamental role in the theory of second order Lagrangian systems: Twist… (More)
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2000
2000
In data communication systems like transoceanic transmission along a fiber cable, there is increasing demand to achieve… (More)
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Review
1996
Review
1996
This paper gives two results that show that the dynamics of a timeperiodic Lagrangian system on a hyperbolic manifold are at… (More)
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