Autor:	Belyakov, Anton O., Seyranian, Alexander P.
Rok vydání:	2019
Předmět:	Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
DOI:	10.1007/978-3-030-34713-0_2
Popis:	We develop here the method for obtaining approximate stability boundaries in the space of parameters for systems with parametric excitation. The monodromy (Floquet) matrix of linearized system is found by averaging method. For system with 2 degrees of freedom (DOF) we derive general approximate stability conditions. We study domains of stability with the use of fourth order approximations of monodromy matrix on example of inverted position of a pendulum with vertically oscillating pivot. Addition of small damping shifts the stability boundaries upwards, thus resulting to both stabilization and destabilization effects. Comment: 9 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1902.09957 Zobrazit plný text záznamu View this record from Arxiv