Stability analysis of the five-dimensional energy demand-supply system

Title:

Stability analysis of the five-dimensional energy demand-supply system

Creator:

Yi Yang, Kun and Xia An, Chun

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:c977f765-9be7-434f-8357-8c37ad14a68d
uuid:c977f765-9be7-434f-8357-8c37ad14a68d
doi:10.14736/kyb-2021-5-0750

Subject:

stability, energy demand-supply, equilibrium points, and hopf bifurcation

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In this paper, a five-dimensional energy demand-supply system has been considered. On the one hand, we analyze the stability for all of the equilibrium points of the system. For each of equilibrium point, by analyzing the characteristic equation, we show the conditions for the stability or instability using Routh-Hurwitz criterion. Then numerical simulations have been given to illustrate all of cases for the theoretical results. On the other hand, by introducing the phenomenon of time delay, we establish the five-dimensional energy demand-supply model with time delay. Then we analyze the stability of the equilibrium points for the delayed system by the stability switching theory. Especially, Hopf bifurcation has been considered by showing the explicit formulae using the central manifold theorem and Poincare normalization method. For each cases of the theorems including the Hopf bifurcation, numerical simulations have been given to illustrate the effectiveness of the main results.

Language:

English

Rights:

http://creativecommons.org/licenses/by-nc-sa/4.0/
policy:public

Coverage:

750-775

Source:

Kybernetika | 2021 Volume:57 | Number:5

Harvested from:

CDK

Metadata only:

false