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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2011

2011

- Tomoki Ohsawa
- 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

- Antonio Carlos Baptista Antunes, Cássio Sigaud, Pedro Cláudio, Guaranho de Moraes
- 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

- Bozidar Jovanovic
- J. Nonlinear Science
- 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

- Simon Hochgerner, Luis Garćıa-Naranjo, Jair Koiller, Luis C. García-Naranjo
- 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

- Alexander Kamenshchik, Ugo Moschella, Vincent Pasquier
- 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

- Yuri N. Fedorov
- 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

- Z Guo, Yuan-zhong Zhang
- 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

- Kurt M. Ehlers, Jair Koiller, Richard Montgomery, Pedro M. Rios
- 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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