scholarly journals External stability and continuous Liapunov functions

2007 ◽  
pp. 103-112
Author(s):  
Andrea Bacciotti
Keyword(s):  
External Stability ◽  
Liapunov Functions

RELIGIOUS EXTREMISM IN KAZAKHSTAN: THREATS OF SPREADING AND MEANS OF OPPOSITION

2020 ◽  
Vol 21 (4) ◽  
pp. 124-131
Author(s):  
Kalimash Begalinova ◽  
Madina Ashilov ◽  
Alibek Begalinov
Keyword(s):  
Regional Integration ◽  
Academic Community ◽  
World Religions ◽  
External Stability ◽  
Religious Extremism ◽  
Feasible Solutions ◽  
Internal And External Stability

Today, regional integration and globalization have added new dimensions to the problems of violence, religious extremism and terrorism that attract a lot of attention in the academic community of many counties. A polyconfessional and polyethnic state, Kazakhstan, where various trends of world religions are inevitably present, is especially aware of the problem of religious extremism. In these conditions, interconfessional relations as a guarantor of internal and external stability in our republic is one of its most important problems. This article presents the aspects related to the religious environment and threats of religious extremism in Kazakhstan and outlines feasible solutions.

scholarly journals Analysis of the Strong and Weak Monotonic External Stability of the Resonance in a Perturbed Dynamical System

2021 ◽  
Vol 16 ◽  
pp. 180-191
Author(s):  
Vladislav V. Lyubimov
Keyword(s):  
Dynamical System ◽  
Sufficient Conditions ◽  
Strong Stability ◽  
New Classification ◽  
External Stability ◽  
Fast Phase ◽  
Stability And Instability ◽  
Long Time ◽  
Independent Variable

A perturbed dynamical system involving two ordinary differential equations is under review. Whereupon, the differential equation for determining the fast phase contains the ratio of the two frequencies. When these frequencies coincide for a long time, a resonance is implemented in this system. The aim of this paper is to obtain the conditions of monotonic external stability and instability of this resonance. The sufficient conditions for the external stability and instability of the resonance defined in this paper assume that the signs of the analyzed derivatives remain unchanged in the non-resonant section of the change in the independent variable. This paper gives a new classification of the phenomenon of external stability of resonance, which includes weak, linear, and strong stability. It should be noted that the conditions of monotonic external stability and instability of the resonance presented in this paper can be used in various scientific and technological problems, in which resonances are observed. Particularly, the concluding part of the paper considers the application of the results obtained within the framework of the problem of the perturbed motion of a rigid body relative to a fixed point.

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