Fractional Nambu dynamics
type: Item
instance of: scholarly article
title: Fractional Nambu dynamics
zbMATH Open document ID: 1344.37088
author: Yanli Xu
author: Shaokai Luo
published in: Acta Mechanica
publication date: 2015-10-29T00:00:00Z
Mathematics Subject Classification ID: 37N05
Mathematics Subject Classification ID: 70H30
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 70E17
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 34A08
zbMATH DE Number: 6501828
MaRDI profile type: Publication
full work available at URL: s00707-015-1432-1
OpenAlex ID: W1618107313
cites work: Q4167627
cites work: Q3715336
cites work: A new Lie symmetrical method of finding a conserved quantity for a dynamical system in phase space
cites work: Hojman exact invariants and adiabatic invariants of Hamilton system
cites work: Q3061725
cites work: On the hamiltonian structure of non-local field theories
cites work: Generalized classical dynamics, and the ‘classical analogue’ of a Fermioscillator
cites work: Q3061543
cites work: A Lie symmetrical basic integral variable relation and a new conservation law for generalized Hamiltonian systems
cites work: Stability for manifolds of equilibrium states of generalized Hamiltonian systems
cites work: A new type of non-Noether exact invariants and adiabatic invariants of generalized Hamiltonian systems
cites work: Generalized Hamiltonian Dynamics
cites work: On foundation of the generalized Nambu mechanics
cites work: Deformation quantization and Nambu mechanics
cites work: Generalized abelian deformations: application to Nambu mechanics
cites work: Aspects of classical and quantum Nambu mechanics
cites work: Some remarks concerning Nambu mechanics
cites work: Ternaryq-Virasoro–Witt Hom–Nambu–Lie algebras
cites work: Nambu–Jacobi structures and Jacobi algebroids
cites work: On Filippov algebroids and multiplicative Nambu-Poisson structures
cites work: Q4674120
cites work: Applications of Nambu mechanics to systems of hydrodynamical type
cites work: Applications of Nambu Mechanics to Systems of Hydrodynamical Type II
cites work: Q3108957
cites work: Q4740120
cites work: Stationarity$ndash$conservation laws for fractional differential equations with variable coefficients
cites work: Generalized variational problems and Euler-Lagrange equations
cites work: Fractional variational calculus in terms of Riesz fractional derivatives
cites work: Fractional embedding of differential operators and Lagrangian systems
cites work: Hamiltonian formulation of systems with linear velocities within Riemann-Liouville fractional derivatives
cites work: Generalized fractional calculus with applications to the calculus of variations
cites work: Nonholonomic constraints with fractional derivatives
cites work: A fractional gradient representation of the Poincaré equations
cites work: Transient responses of an axially accelerating viscoelastic string constituted by a fractional differentiation law
cites work: Fractional differential models in finite viscoelasticity
cites work: Fractional generalized Hamiltonian mechanics
cites work: Fractional generalized Hamiltonian equations and its integral invariants
cites work: Stability for manifolds of equilibrium states of fractional generalized Hamiltonian systems
cites work: Lie algebraic structure and generalized Poisson conservation law for fractional generalized Hamiltonian systems
cites work: Fractional Lorentz-Dirac model and its dynamical behaviors
cites work: Fractional Birkhoffian mechanics
cites work: Stability for manifolds of the equilibrium state of fractional Birkhoffian systems
cites work: Relativistic equations of motion within Nambu's formalism of dynamics
cites work: Fractional Hamiltonian analysis of higher order derivatives systems
DOI: 10.1007/S00707-015-1432-1
description: scientific article; zbMATH DE number 6501828