Linear Hamiltonian Behaviors and Bilinear Differential Forms
نویسندگان
چکیده
منابع مشابه
Linear Hamiltonian Behaviors and Bilinear Differential Forms
We study linear Hamiltonian systems using bilinear and quadratic differential forms. Such a representation-free approach allows us to use the same concepts and techniques to deal with systems isolated from their environment and with systems subject to external influences and allows us to study systems described by higher-order differential equations, thus dispensing with the usual point of view...
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Let F be a field of characteristic p > 0. Let Ω(F ) be the F vector space of n-differentials of F over F . Let K = F (g) be the function field of an irreducible polynomial g in m > 1 variables over F . We derive an explicit description of the kernel of the restriction map Ω(F ) → Ω(K). As an application in the case p = 2, we determine the kernel of the restriction map when passing from the Witt...
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ژورنال
عنوان ژورنال: SIAM Journal on Control and Optimization
سال: 2004
ISSN: 0363-0129,1095-7138
DOI: 10.1137/s0363012902414664