A new method of dynamical stability, i.e. fractional generalized Hamiltonian method, and its applications

DOI10.1016/j.amc.2015.07.047zbMath1410.70021OpenAlexW1073622580MaRDI QIDQ668642

Jin-Man He, Yan-Li Xu, Shao-Kai Luo

Publication date: 19 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.07.047

zbMATH Keywords

dynamical stabilityfractional dynamicsfractional dynamical modelfractional generalized Hamiltonian method

Mathematics Subject Classification ID

Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Fractional partial differential equations (35R11)

Related Items (9)

Basic theory of fractional Mei symmetrical perturbation and its applications ⋮ Basic theory of fractional conformal invariance of Mei symmetry and its applications to physics ⋮ On the families of fractional dynamical models ⋮ Dynamical analysis of a new fractional-order Rabinovich system and its fractional matrix projective synchronization ⋮ Stability and dynamics of neutral and integro-differential regularized Prabhakar fractional differential systems ⋮ A new method of fractional dynamics, i.e., fractional generalized Hamilton method with additional terms, and its applications to physics ⋮ A new method of fractional dynamics, i.e., fractional Mei symmetrical method for finding conserved quantity, and its applications to physics ⋮ A new type of fractional Lie symmetrical method and its applications ⋮ A general method of fractional dynamics, i.e., fractional Jacobi last multiplier method, and its applications

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