Polynomial Stochastic Dynamical Indicators

Autor:	Vasile, Massimiliano, Manzi, Matteo
Rok vydání:	2023
Předmět:	Mathematical Physics Computer Science - Computational Engineering Finance and Science Mathematics - Probability 37 68 85 00A69 I.m
Zdroj:	Celestial Mechanics and Dynamical Astronomy 2023
Druh dokumentu:	Working Paper
DOI:	10.1007/s10569-022-10116-1
Popis:	This paper introduces three types of dynamical indicators that capture the effect of uncertainty on the time evolution of dynamical systems. Two indicators are derived from the definition of Finite Time Lyapunov Exponents while a third indicator directly exploits the property of the polynomial expansion of the dynamics with respect to the uncertain quantities. The paper presents the derivation of the indicators and a number of numerical experiments that illustrates the use of these indicators to depict a cartography of the phase space under parametric uncertainty and to identify robust initial conditions and regions of practical stability in the restricted three-body problem. Comment: 42 pages, 20 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2308.07518 Zobrazit plný text záznamu View this record from Arxiv