التفاصيل البيبلوغرافية
| العنوان: |
Morse families and Dirac systems. |
| المؤلفون: |
Liñán, María Barbero, Cendra, Hernán, Toraño, Eduardo García, Diego, David Martín de |
| المصدر: |
Journal of Geometric Mechanics; Dec2019, Vol. 11 Issue 4, p487-510, 24p |
| مصطلحات موضوعية: |
MORSE theory, NONHOLONOMIC dynamical systems, OPTIMAL control theory, CONTROL theory (Engineering), DIFFERENTIAL equations, DYNAMICAL systems, FAMILIES |
| مستخلص: |
Dirac structures and Morse families are used to obtain a geometric formalism that unifies most of the scenarios in mechanics (constrained calculus, nonholonomic systems, optimal control theory, higher-order mechanics, etc.), as the examples in the paper show. This approach generalizes the previous results on Dirac structures associated with Lagrangian submanifolds. An integrability algorithm in the sense of Mendella, Marmo and Tulczyjew is described for the generalized Dirac dynamical systems under study to determine the set where the implicit differential equations have solutions. [ABSTRACT FROM AUTHOR] |
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| قاعدة البيانات: |
Complementary Index |
