Fractional Generalization of Gradient and Hamiltonian Systems
Dynamical Systems
2018-04-02 v1 Statistical Mechanics
Chaotic Dynamics
Classical Physics
Quantum Physics
Abstract
We consider a fractional generalization of Hamiltonian and gradient systems. We use differential forms and exterior derivatives of fractional orders. We derive fractional generalization of Helmholtz conditions for phase space. Examples of fractional gradient and Hamiltonian systems are considered. The stationary states for these systems are derived.
Cite
@article{arxiv.math/0602208,
title = {Fractional Generalization of Gradient and Hamiltonian Systems},
author = {Vasily E. Tarasov},
journal= {arXiv preprint arXiv:math/0602208},
year = {2018}
}
Comments
16 pages