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- Title
Conserved Quantity and Adiabatic Invariant for Hamiltonian System with Variable Order.
- Authors
Song, Chuan-Jing; Cheng, Yao
- Abstract
Hamiltonian mechanics plays an important role in the development of nonlinear science. This paper aims for a fractional Hamiltonian system of variable order. Several issues are discussed, including differential equation of motion, Noether symmetry, and perturbation to Noether symmetry. As a result, fractional Hamiltonian mechanics of variable order are established, and conserved quantity and adiabatic invariant are presented. Two applications, fractional isotropic harmonic oscillator model of variable order and fractional Lotka biochemical oscillator model of variable order are given to illustrate the Methods and Results.
- Subjects
CONSERVED quantity; HAMILTONIAN systems; HAMILTONIAN mechanics; EQUATIONS of motion; DIFFERENTIAL equations; HARMONIC oscillators; NONLINEAR evolution equations; CONSERVATION laws (Mathematics)
- Publication
Symmetry (20738994), 2019, Vol 11, Issue 10, p1270
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym11101270