Evolution of perturbed dynamical systems: analytical computation with time independent accuracyReport as inadecuate




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The European Physical Journal C

, 76:685

First Online: 10 December 2016Received: 12 October 2016Accepted: 24 November 2016

Abstract

An analytical method for investigation of the evolution of dynamical systems 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 long-term planetary dynamics.

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Author: A. V. Gurzadyan - A. A. Kocharyan

Source: https://link.springer.com/







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