Evolution of perturbed dynamical systems: analytical computation with time independent accuracy
Instrumentation and Methods for Astrophysics
2016-12-13 v1 Astrophysics of Galaxies
Computational Physics
Abstract
An analytical method for investigation of the evolution of dynamical systems {\it with independent on time accuracy} is developed for perturbed Hamiltonian systems. The error-free estimation using of computer algebra enables the application of the method to complex multi-dimensional Hamiltonian and dissipative systems. It also opens principal opportunities for the qualitative study of chaotic trajectories. The performance of the method is demonstrated on perturbed two-oscillator systems. It can be applied to various non-linear physical and astrophysical systems, e.g. to the long-term planetary dynamics.
Cite
@article{arxiv.1611.08165,
title = {Evolution of perturbed dynamical systems: analytical computation with time independent accuracy},
author = {A. V. Gurzadyan and A. A. Kocharyan},
journal= {arXiv preprint arXiv:1611.08165},
year = {2016}
}
Comments
5 pages, 4 figures, Eur. Phys. J. C in press