Investigation of the stability of motion in a critical case by an asymptotic method of nonlinear mechanics

1971 ◽  
Vol 23 (4) ◽  
pp. 460-466
Author(s):  
Nguyen Van Dao
Keyword(s):  
Asymptotic Method ◽  
Critical Case ◽  
Stability Of Motion ◽  
Nonlinear Mechanics ◽  
The Stability

scholarly journals Stability of Nonlinear Autonomous Quadratic Discrete Systems in the Critical Case

2010 ◽  
Vol 2010 ◽  
pp. 1-23 ◽  
Author(s):  
Josef Diblík ◽  
Denys Ya. Khusainov ◽  
Irina V. Grytsay ◽  
Zdenĕk Šmarda
Keyword(s):  
Lyapunov Functions ◽  
Critical Case ◽  
Autonomous Systems ◽  
Discrete Systems ◽  
Simple Eigenvalue ◽  
Discrete Equations ◽  
The Matrix ◽  
The Stability ◽  
Important Characterization

Many processes are mathematically simulated by systems of discrete equations with quadratic right-hand sides. Their stability is thought of as a very important characterization of the process. In this paper, the method of Lyapunov functions is used to derive classes of stable quadratic discrete autonomous systems in a critical case in the presence of a simple eigenvalueλ=1of the matrix of linear terms. In addition to the stability investigation, we also estimate stability domains.

On the stability of motion of a radiating electron

1978 ◽  
Vol 11 (7) ◽  
pp. 1211-1219 ◽  
Author(s):  
W Maass ◽  
J Petzold
Keyword(s):  
Stability Of Motion ◽  
The Stability
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