Holonomic constraints and equations of motion in Minkowskian mechanics
نویسندگان
چکیده
منابع مشابه
Statistical mechanics of quantum-classical systems with holonomic constraints.
The statistical mechanics of quantum-classical systems with holonomic constraints is formulated rigorously by unifying the classical Dirac bracket and the quantum-classical bracket in matrix form. The resulting Dirac quantum-classical theory, which conserves the holonomic constraints exactly, is then used to formulate time evolution and statistical mechanics. The correct momentum-jump approxima...
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The navigation function methodology, established in previous work for centralized multiple robot navigation, is extended for decentralized navigation with input constraints. In contrast to the centralized case, each agent plans its actions without knowing the destinations of the other agents. Asymptotic stability is guaranteed by the existence of a global Lyapunov function for the whole system,...
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We propose a numerical scheme for the integration of the Langevin equation which is second-order accurate. More importantly, we indicate how to generalize this scheme to situations where holonomic constraints are added and show that the resulting scheme remains second-order accurate. ! 2006 Elsevier B.V. All rights reserved.
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ژورنال
عنوان ژورنال: Applications of Mathematics
سال: 1965
ISSN: 0862-7940,1572-9109
DOI: 10.21136/am.1965.102973