2007
DOI: 10.1134/s1063778807030179
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Nambu-Poisson dynamics of superintegrable systems

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Cited by 8 publications
(10 citation statements)
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“…The point vortex equations were expressed via Nambu dynamics, which allowed for the use of not only the Hamiltonian but also of the Casimir of the system. As a result, trajectories were found to follow the intersection of fixed level sets of the Hamiltonian and Casimir, as already studied by [93][94][95].…”
Section: Summary and Discussionmentioning
confidence: 59%
“…The point vortex equations were expressed via Nambu dynamics, which allowed for the use of not only the Hamiltonian but also of the Casimir of the system. As a result, trajectories were found to follow the intersection of fixed level sets of the Hamiltonian and Casimir, as already studied by [93][94][95].…”
Section: Summary and Discussionmentioning
confidence: 59%
“…In the case of several integrals of motion, H n , 1 ≤ n ≤ N, we can formulate Renormdynamics as Nambu -Poisson dynamics (see e.g. [Makhaldiani, 2007]…”
Section: Nambu -Poisson Formulation Of Renormdynamicsmentioning
confidence: 99%
“…and summation rule under repeated indices has been used. Let us consider the following Lagrangian L = (ẋ n − v n (x))ψ n (5) and the corresponding equations of motioṅ…”
Section: Hamiltonization Of Dynamical Systemsmentioning
confidence: 99%
“…For the Nambu -Poisson dynamical systems (see e.g. [5]) v n (x) = ε nm 1 m 2 ...mp ∂H 1 ∂x m 1 ∂H 2 ∂x m 2 ... ∂H p ∂x mp , p = 1, 2, 3, ..., N − 1, n ∂v n ∂x n ≡ divv = 0.…”
Section: (De)coherence Criterionmentioning
confidence: 99%