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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… 
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Papers overview

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2018
2018
To understand the nature of the universe, we extend the study of cosmological model first studied by Sung-Won Kim [Phys. Rev D… 
2017
2017
We consider the movement of Chaplygin sleigh on a plane that is a solid body with imposed nonholonomic constraint, which excludes… 
2013
2013
We develop a cosmological model based on a quadratic equation of state p/c^2=-(\alpha+1){\rho^2}/{\rho_P}+\alpha\rho-(\alpha+1… 
2010
2010
We present a Chaplygin gas Friedmann-Robertson-Walker quantum cosmological model in the presence of the cosmological constant. We… 
2010
2010
The generalized Chaplygin gas model represents an attempt to unify dark matter and dark energy. It is characterized by a fluid… 
2009
2009
We extend the study of the new generalized Chaplygin gas (NGCG) based on [J. Cosmol. Astropart. Phys. 0601 (2006) 003… 
2008
2008
AbstractIn his paper [1], one of us has introduced a method for constructing integrable conservative two-dimensional mechanical… 
2007
2007
Hybrid Chaplygin gas model is put forward, in which the gases play the role of dark energy. For this model the coincidence… 
2005
2005
In this paper we propose a new approach to the study of integrable cases based on intensive computer methods' application. We…