Chaplygin problem

Known as: Chaplygin, Chaplygin's problem 
In mathematics, particularly in the fields of nonlinear dynamics and the calculus of variations, the Chaplygin problem is an isoperimetric problem… (More)
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Topic mentions per year

1995-2017
0204019952017

Papers overview

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2011
2011
We develop Hamilton–Jacobi theory for Chaplygin systems, a certain class of nonholonomic mechanical systems with symmetries… (More)
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2010
2010
In this paper we deal with the problem of controlling some Chaplygin systems in the framework of the vakonomic approach for… (More)
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2010
2010
We prove that the n-dimensional Chaplygin–sphere problem for the zero value of the SO(n − 1)–momentum mapping becomes an… (More)
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2009
2009
Via compression ([18, 8]) we write the n-dimensional Chaplygin sphere system as an almost Hamiltonian system on T ∗SO(n) with… (More)
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2008
2008
We consider a FRW cosmological model with an exotic fluid known as Chaplygin gas. We show that the resulting evolution of the… (More)
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2007
2007
This paper studies local configuration controllability of multibody systems with nonholonomic constraints. As a nontrivial… (More)
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2007
2007
The celebrated problem of a non-homogeneous sphere rolling over a horizontal plane was proved to be integrable and was reduced to… (More)
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2006
2006
We consider a new generalized Chaplygin gas model that includes the original Chaplygin gas model as a special case. In this model… (More)
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2005
2005
This paper studies the dynamics of the discrete Chaplygin sleigh. Properties such as discrete momentum and measure conservation… (More)
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2004
2004
A nonholonomic system, for short “NH”, consists of a configuration space Qn, a Lagrangian L(q, q̇, t), a nonintegrable constraint… (More)
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