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• W2963663538 abstract "In this paper we have obtained some dynamics equations, in the presence ofnonlinear nonholonomic constraints and according to a lagrangian and someChetaev-like conditions. Using some natural regular conditions, a simpleform of these equations is given. In the particular cases of linear andaffine constraints, one recovers the classical equations in the forms knownpreviously, for example, by Bloch and all [3,4]. The case of time-dependentconstraints is also considered. Examples of linear constraints, timeindependent and time depenndent nonlinear constraints are considered, aswell as their dynamics given by suitable lagrangians. All examples arebased on classical ones, such as those given by Appell's machine." @default.
• W2963663538 created "2019-07-30" @default.
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• W2963663538 date "2014-01-01" @default.
• W2963663538 modified "2023-10-02" @default.
• W2963663538 title "Nonlinear constraints in nonholonomic mechanics" @default.
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• W2963663538 doi "https://doi.org/10.3934/jgm.2014.6.527" @default.
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