Study of the passage from a dissipative to a conservative state in two-dimensional nonlinear systems of ordinary differential equations

Autor:	D. L. Golitsyn, O. I. Ryabkov, D. A. Burov
Rok vydání:	2012
Předmět:	Nonlinear system Partial differential equation General Mathematics Ordinary differential equation Mathematical analysis Pendulum (mathematics) Dissipative system Parameter space Bifurcation diagram Analysis Poincaré map Mathematics
Zdroj:	Differential Equations. 48:436-440
ISSN:	1608-3083 0012-2661
DOI:	10.1134/s0012266112030159
Popis:	We consider an approximate model of a space pendulum described by a system of two equations. We construct a two-dimensional diagram in the parameter space showing the passage from a dissipative to a conservative state in this system. We show that the Poincare map of this system can be represented as the square of some other map; this fact is used to explain some specific features of the structure of the bifurcation diagram of the original map.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::489b3da85331e863ec3bd362eb032d28 https://doi.org/10.1134/s0012266112030159 Zobrazit plný text záznamu Plný text ve formátu PDF