IMPULSIVE DIFFERENTIAL SYSTEM WITH VARIABLE TIMES

2018 ◽  
Vol 19 (3) ◽  
pp. 295-302
Author(s):  
S. A. Bishop ◽  
M. C. Khalique ◽  
O. O. Agboola ◽  
O. F. Imaga
Keyword(s):  
Differential System ◽  
Impulsive Differential System

Chaos and its control in an impulsive differential system

2007 ◽  
Vol 34 (4) ◽  
pp. 1135-1147 ◽  
Author(s):  
Guirong Jiang ◽  
Qishao Lu ◽  
Linning Qian
Keyword(s):  
Differential System ◽  
Impulsive Differential System

Research on Impulsive Lurie Systems with Time-Delay

2014 ◽  
Vol 889-890 ◽  
pp. 633-636
Author(s):  
Xue Jun Li
Keyword(s):  
Differential Equation ◽  
Time Delay ◽  
Differential System ◽  
Stability Theory ◽  
Impulsive Differential Equation ◽  
Comparison Theory ◽  
Impulsive Differential System ◽  
Numerical Example ◽  
Impulsive Synchronization

Based on stability theory of impulsive differential equation and new comparison theory of impulsive differential system, some simple yet less conservative criteria ensuring impulsive synchronization of the Lurie systems are derived. A numerical example is given to illustrate the effectiveness of the method.

Analysis of Moored Ship Motion under Impulsive Forces

2013 ◽  
Vol 639-640 ◽  
pp. 1210-1213 ◽  
Author(s):  
Zhuo Bin Wei ◽  
Xian Wei Xiong ◽  
Ning Zhang ◽  
Sen Wu
Keyword(s):  
Numerical Simulations ◽  
Differential System ◽  
Ship Motion ◽  
System Model ◽  
Dynamical Model ◽  
Wave Loads ◽  
Recovery Coefficient ◽  
Impulsive Differential System ◽  
Impulsive Forces ◽  
High Winds

To prevent the damages of the moored ship and the wharf structures in heavy weather, the ship motion and its effects on the wharf are analyzed. The moored ship motion in high winds with big waves was investigated. Firstly, the lateral wind loads and wave loads were considered as periodic impulsive forces, and the simplified dynamical model was presented. Based on the presented nonlinear impulsive differential system model, the numerical simulations and analysis were performed. The effects of recovery coefficient, damping and stiffness parameters on the system behaviors were discussed. Finally, some suggestions were made to guarantee the ship's stability or practical stability in heavy weather, and the safety of the wharf structures is thus assured.

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