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This article is cited in 2 scientific papers (total in 2 papers)
An Extended Hamilton – Jacobi Method
Valery V. Kozlov V. A. Steklov Mathematical Institute Russian Academy of Sciences,
ul. Gubkina 8, Moscow, 119991 Russia
Abstract:
We develop a new method for solving Hamilton’s canonical differential equations. The method is based on the search for invariant vortex manifolds of special type. In the case of Lagrangian (potential) manifolds, we arrive at the classical Hamilton–Jacobi method.
Keywords:
generalized Lamb’s equations, vortex manifolds, Clebsch potentials, Lagrange brackets.
Received: 28.01.2011 Accepted: 14.07.2012
Citation:
Valery V. Kozlov, “An Extended Hamilton – Jacobi Method”, Regul. Chaotic Dyn., 17:6 (2012), 580–596
Linking options:
https://www.mathnet.ru/eng/rcd269 https://www.mathnet.ru/eng/rcd/v17/i6/p580
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