Evolution of perturbed dynamical systems: analytical computation with time independent accuracy
arXiv:1611.08165 · doi:10.1140/epjc/s10052-016-4544-4
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.
arXiv comment5 pages, 4 figures, Eur. Phys. J. C in press
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