SYNCHRONIZATION OF IMPULSIVELY COUPLED SYSTEMS

2008 ◽  
Vol 18 (05) ◽  
pp. 1539-1549 ◽  
Author(s):  
XIUPING HAN ◽  
JUN-AN LU ◽  
XIAOQUN WU
Keyword(s):  
Dynamical Systems ◽  
Control Strategy ◽  
Impulsive Control ◽  
Coupled Model ◽  
Coupled Systems ◽  
Single System ◽  
Impulsive Synchronization ◽  
The Past ◽  
Impulsive Control Strategy ◽  
Control And Synchronization

In the past years, impulsive control for a single system and impulsive synchronization between two systems have been extensively studied. However, investigation on impulsive control and synchronization of complex networks has just started. In these studies, a network is continuously coupled, and then is synchronized by using impulsive control strategy. In this paper, a new and different coupled model is proposed, where the systems are coupled only at discrete instants through impulsive connections. Several criteria for synchronizing such kind of impulsively coupled complex dynamical systems are established. Two examples are also worked through for illustrating the main results.

Effect of seasonality on the dynamical behavior of an ecological system with impulsive control strategy

2011 ◽  
Vol 348 (4) ◽  
pp. 652-670 ◽  
Author(s):  
Hengguo Yu ◽  
Shouming Zhong ◽  
Ravi P. Agarwal ◽  
Syamal K. Sen
Keyword(s):  
Control Strategy ◽  
Impulsive Control ◽  
Dynamical Behavior ◽  
Ecological System ◽  
Impulsive Control Strategy

scholarly journals Complex Behavior in a Fish Algae Consumption Model with Impulsive Control Strategy

2011 ◽  
Vol 2011 ◽  
pp. 1-17 ◽  
Author(s):  
Jin Yang ◽  
Min Zhao
Keyword(s):  
Control Strategy ◽  
Small Amplitude ◽  
Impulsive Control ◽  
Asymptotically Stable ◽  
Perturbation Techniques ◽  
Globally Asymptotically Stable ◽  
Impulsive Equations ◽  
Consumption Model ◽  
The Rich ◽  
Impulsive Control Strategy

This paper investigates a dynamic mathematical model of fish algae consumption with an impulsive control strategy analytically. It is proved that the system has a globally asymptotically stable algae-eradication periodic solution and is permanent by using the theory of impulsive equations and small-amplitude perturbation techniques. Numerical results for impulsive perturbations demonstrate the rich dynamic behavior of the system. Further, we have also compared biological control with chemical control. All these results may be useful in controlling eutrophication.

The dynamics of a Beddington-type system with impulsive control strategy

2006 ◽  
Vol 29 (5) ◽  
pp. 1229-1239 ◽  
Author(s):  
Zhenqing Li ◽  
Weiming Wang ◽  
Hailing Wang
Keyword(s):  
Control Strategy ◽  
Impulsive Control ◽  
Type System ◽  
Impulsive Control Strategy

scholarly journals Dynamic Analysis of a Predator-Prey (Pest) Model with Disease in Prey and Involving an Impulsive Control Strategy

2012 ◽  
Vol 2012 ◽  
pp. 1-18 ◽  
Author(s):  
Min Zhao ◽  
Yanzhen Wang ◽  
Lansun Chen
Keyword(s):  
Integrated Pest Management ◽  
Pest Management ◽  
Control Strategy ◽  
Impulsive Control ◽  
Critical Parameters ◽  
Critical Conditions ◽  
Dynamic Complexity ◽  
Predator Prey ◽  
Impulsive Control Strategy ◽  
Disease In Prey

The dynamic behaviors of a predator-prey (pest) model with disease in prey and involving an impulsive control strategy to release infected prey at fixed times are investigated for the purpose of integrated pest management. Mathematical theoretical works have been pursuing the investigation of the local asymptotical stability and global attractivity for the semitrivial periodic solution and population persistent, which depicts the threshold expression of some critical parameters for carrying out integrated pest management. Numerical analysis indicates that the impulsive control strategy has a strong effect on the dynamical complexity and population persistent using bifurcation diagrams and power spectra diagrams. These results show that if the release amount of infective prey can satisfy some critical conditions, then all biological populations will coexist. All these results are expected to be of use in the study of the dynamic complexity of ecosystems.

Sign in / Sign up

Export Citation Format

Share Document