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• W2103753011 abstract "Based on the d'Alembert-Lagrange-Poincare variational principle, we formu- late general equations of motion for mechanical systems subject to nonlinear nonholonomic constraints, that do not involve Lagrangian undetermined multipliers. We write these e- quations in a canonical form called the Poincare-Hamilton equations, and study a version of corresponding Poincare-Cartan integral invariant which are derived by means of a type of asynchronous variation of the Poincare variables of the problem that involve the vari- ation of the time. As a consequence, it is shown that the invariance of a certain line integral under the motion of a mechanical system of the type considered characterizes the Poincare-Hamilton equations as underlying equations of motion. As a special case, an invariant analogous to Poincare linear integral invariant is obtained." @default.
• W2103753011 created "2016-06-24" @default.
• W2103753011 creator A5064443676 @default.
• W2103753011 creator A5077061689 @default.
• W2103753011 date "2014-01-01" @default.
• W2103753011 modified "2023-09-27" @default.
• W2103753011 title "A Generalization of Poincaré-Cartan Integral Invariants of a Nonlinear Nonholonomic Dynamical System" @default.
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• W2103753011 hasPublicationYear "2014" @default.
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