Fractional generalized Hamilton method for equilibrium stability of dynamical systems
From MaRDI portal
Publication:289243
DOI10.1016/j.aml.2016.03.020zbMath1346.34013OpenAlexW2324139428MaRDI QIDQ289243
Jin-Man He, Xiao-Tian Zhang, Yan-Li Xu, Shao-Kai Luo
Publication date: 30 May 2016
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2016.03.020
Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Fractional ordinary differential equations (34A08)
Related Items
Basic theory of fractional Mei symmetrical perturbation and its applications ⋮ Basic theory of fractional conformal invariance of Mei symmetry and its applications to physics ⋮ Dynamical modeling and physical analysis of pipe flow in hydraulic systems based on fractional variational theory ⋮ 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 ⋮ Conformal invariance and conserved quantities of mechanical system with unilateral constraints ⋮ A new method of fractional dynamics, i.e., fractional generalized Hamilton method with additional terms, and its applications to physics ⋮ A general method of fractional dynamics, i.e., fractional Jacobi last multiplier method, and its applications ⋮ Quasi-matrix and quasi-inverse-matrix projective synchronization for delayed and disturbed fractional order neural network
Cites Work
- Equilibrium points and periodic orbits of higher-order autonomous generalized Birkhoff system
- Fractional generalized Hamiltonian mechanics
- A Lie symmetrical basic integral variable relation and a new conservation law for generalized Hamiltonian systems
- A new type of non-Noether exact invariants and adiabatic invariants of generalized Hamiltonian systems
- Stability criteria for a class of fractional order systems
- On fractional Euler-Lagrange and Hamilton equations and the fractional generalization of total time derivative
- The Hamilton formalism with fractional derivatives
- Lyapunov stability analysis of fractional nonlinear systems
- Generalized variational problems and Euler-Lagrange equations
- Lagrangean and Hamiltonian fractional sequential mechanics.
- The stability of linear periodic Hamiltonian systems on time scales
- Stability criterion for a class of nonlinear fractional differential systems
- Fractional generalized Hamiltonian mechanics and Poisson conservation law in terms of combined Riesz derivatives
- Generalized classical dynamics, and the ‘classical analogue’ of a Fermioscillator
- Fractional Hamiltonian analysis of higher order derivatives systems
- Nonholonomic constraints with fractional derivatives
- On the hamiltonian structure of non-local field theories