A principal possibility for computer investigation of evolution of dynamical systems independent on time accuracy

The European Physical Journal C

V. V. Harutyunyan¹  A. A. Kocharyan²  V. G. Gurzadyan³ 

[1] Center for Cosmology and Astrophysics, Alikhanian National Laboratory and Yerevan State University, Yerevan, Armenia;Center for Cosmology and Astrophysics, Alikhanian National Laboratory and Yerevan State University, Yerevan, Armenia;School of Mathematical Sciences, Monash University, Clayton, Australia;SIA, Sapienza University of Rome, Rome, Italy;Center for Cosmology and Astrophysics, Alikhanian National Laboratory and Yerevan State University, Yerevan, Armenia;

关键词: Solar System;    Hamiltonian System;    Principal Possibility;    Chaotic Property;    Arnold Diffusion;   

DOI  :  10.1140/epjc/s10052-015-3479-5

来源: Springer

【 摘 要 】

Extensive N-body simulations are among the key means for the study of numerous astrophysical and cosmological phenomena, so various schemes are developed for possibly higher accuracy computations. We demonstrate the principal possibility for revealing the evolution of a perturbed Hamiltonian system with an accuracy independent on time. The method is based on the Laplace transform and the derivation and analytical solution of an evolution equation in the phase space for the resolvent and using computer algebra.

【 授权许可】

CC BY