Heteroclinic Foliation, Global Oscillations for the Nicholson-bailey Model and Delay of Stability Loss
نویسندگان
چکیده
This paper is concerned with the classical Nicholson-Bailey model [15] defined by fλ(x, y) = (y(1 − e−x), λye−x). We show that for λ = 1 a heteroclinic foliation exists and for λ > 1 global strict oscillations take place. The important phenomenon of delay of stability loss is established for a general class of discrete dynamical systems, and it is applied to the study of nonexistence of periodic orbits for the Nicholson-Bailey model.
منابع مشابه
GLOBAL ROBUST STABILITY CRITERIA FOR T-S FUZZY SYSTEMS WITH DISTRIBUTED DELAYS AND TIME DELAY IN THE LEAKAGE TERM
The paper is concerned with robust stability criteria for Takagi- Sugeno (T-S) fuzzy systems with distributed delays and time delay in the leakage term. By exploiting a model transformation, the system is converted to one of the neutral delay system. Global robust stability result is proposed by a new Lyapunov-Krasovskii functional which takes into account the range of delay and by making use o...
متن کاملDelay-Scheduled Controllers for Inter-Area Oscillations Considering Time Delays
Unlike the existing views that was introduced the existence of delay caused by the transmission of wide area measurement system data (WAMS) into the controllers input of the power oscilation damping (POD) by communication networks as a reason for poor performance of the POD controllers. This paper shows that the presence of time delay in the feedback loop may improve the performance of a POD co...
متن کاملDesign Supplementary Controller Based on Stabilizing Effect of Delay for Damping Inter Area Oscillations in a Power System
The delay associated with signal transmission through the wide-area measurement system reduces the functionality of the power oscillation damping control system. One of the important issues is the poor operation of the supplementary controller against delay existence, which limits the efficiency of damping of ancillary equipment, such as SVCs in a power system. This paper as a solution proposes...
متن کاملComputational Method for Fractional-Order Stochastic Delay Differential Equations
Dynamic systems in many branches of science and industry are often perturbed by various types of environmental noise. Analysis of this class of models are very popular among researchers. In this paper, we present a method for approximating solution of fractional-order stochastic delay differential equations driven by Brownian motion. The fractional derivatives are considered in the Caputo sense...
متن کاملStability analysis and feedback control of T-S fuzzy hyperbolic delay model for a class of nonlinear systems with time-varying delay
In this paper, a new T-S fuzzy hyperbolic delay model for a class of nonlinear systems with time-varying delay, is presented to address the problems of stability analysis and feedback control. Fuzzy controller is designed based on the parallel distributed compensation (PDC), and with a new Lyapunov function, delay dependent asymptotic stability conditions of the closed-loop system are derived v...
متن کامل