scholarly journals Prediction and analysis of quasi-periodic solution for friction-induced vibration of an industrial brake system with the Generalized Modal Amplitude Stability Analysis

2021 ◽  
pp. 116164
Author(s):  
E. Denimal ◽  
J.-J. Sinou ◽  
S. Nacivet
Keyword(s):  
Periodic Solution ◽  
Stability Analysis ◽  
Brake System ◽  
Modal Amplitude ◽  
Friction Induced Vibration

scholarly journals Exponential Stability of Periodic Solution to Wilson-Cowan Networks with Time-Varying Delays on Time Scales

2014 ◽  
Vol 2014 ◽  
pp. 1-10
Author(s):  
Jinxiang Cai ◽  
Zhenkun Huang ◽  
Honghua Bin
Keyword(s):  
Periodic Solution ◽  
Stability Analysis ◽  
Exponential Stability ◽  
Time Scales ◽  
Continuous Time ◽  
Lyapunov Functional ◽  
Contraction Mapping ◽  
Sufficient Conditions ◽  
Contraction Mapping Principle ◽  
Time Varying

We present stability analysis of delayed Wilson-Cowan networks on time scales. By applying the theory of calculus on time scales, the contraction mapping principle, and Lyapunov functional, new sufficient conditions are obtained to ensure the existence and exponential stability of periodic solution to the considered system. The obtained results are general and can be applied to discrete-time or continuous-time Wilson-Cowan networks.

ANALYSIS OF A MODEL OF PLASMID-BEARING, PLASMID-FREE COMPETITION IN A PULSED CHEMOSTAT

2006 ◽  
Vol 09 (03) ◽  
pp. 263-276 ◽  
Author(s):  
XIANGYUN SHI ◽  
XINYU SONG ◽  
XUEYONG ZHOU
Keyword(s):  
Periodic Solution ◽  
Stability Analysis ◽  
Bifurcation Theory ◽  
Continuous System ◽  
Impulsive Effect ◽  
Chemostat Model ◽  
Free Competition ◽  
The Stability ◽  
Invasion Threshold ◽  
Standard Techniques

We introduce and study a chemostat model with plasmid-bearing, plasmid-free competition and impulsive effect. According to the stability analysis of the boundary periodic solution, we obtain the invasion threshold of the plasmid-free organism and plasmid-bearing organism. Furthermore, by using standard techniques of bifurcation theory, we prove the system has a positive τ-periodic solution, which shows that the impulsive effect destroys the equilibria of the unforced continuous system and initiates the periodic solution. Our results can be applied to control bioreactors aimed at producing commercial products through genetically altered organisms.

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