Algebraic and Radical Potential Fields. Stability Domains in Coordinate and Parametric Space

被引：0

作者：

Uteshev, Alexei Yu. ^{[1
]}

机构：

[1] St Petersburg State Univ, Fac Appl Math, Univ Skij Pr 35, St Petersburg 198504, Russia

来源：

EIGHTH POLYAKHOV'S READING | 2018年 / 1959卷

关键词：

D O I：

10.1063/1.5034738

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A dynamical system d X/d t = F(X; A) is treated where F(X; A) is a polynomial (or some general type of radical contained) function in the vectors of state variables X is an element of R-n and parameters A is an element of R-n. We are looking for stability domains in both spaces, i.e. (a) domain P subset of R-n such that for any parameter vector specialization A is an element of P, there exists a stable equilibrium for the dynamical system, and (b) domain S subset of R-n such that any point X-star is an element of E S could be made a stable equilibrium by a suitable specialization of the parameter vector A.

引用

页数：8