scholarly journals Stability, Bifurcation, and Chaos inN-Firm Nonlinear Cournot Games

2011 ◽  
Vol 2011 ◽  
pp. 1-22 ◽  
Author(s):  
Akio Matsumoto ◽  
Ferenc Szidarovszky
Keyword(s):  
Chaos Control ◽  
Adjustment Process ◽  
Bifurcation And Chaos ◽  
Adaptive Expectations ◽  
Special Cases ◽  
Adaptive Adjustment ◽  
Cournot Games ◽  
Best Responses ◽  
Linear Cost ◽  
Shed Light

AnN-firm production game known as oligopoly will be examined with isoelastic price function and linear cost under al Cournot competition. After the best responses of the firms are determined, a dynamic system with adaptive expectations is introduced. It is first shown that the local asymptotic behavior of the system is identical with that of the adaptive adjustment process in which the firms cautiously determine their outputs. Dynamic analysis is confined to two special cases, one in whichNis divided into two groups and the other in whichNis divided into three groups. Then stability conditions will be derived and the global behavior of the equilibria will be illustrated including chaos control. Lastly the two- and three-group models are compared with two-firm (duopoly) and three-firm (triopoly) models to shed light on roles of the number of the firms.

Stability, bifurcation and chaos control of a discretized Leslie prey-predator model

2021 ◽  
Vol 152 ◽  
pp. 111345
Author(s):  
S. Akhtar ◽  
R. Ahmed ◽  
M. Batool ◽  
Nehad Ali Shah ◽  
Jae Dong Chung
Keyword(s):  
Chaos Control ◽  
Bifurcation And Chaos ◽  
Predator Model

Rural and Urban Population Changes and the Stages of Economic Development: A Unified Approach

1983 ◽  
Vol 15 (9) ◽  
pp. 1161-1174 ◽  
Author(s):  
T Miyao
Keyword(s):  
Economic Development ◽  
Urban Areas ◽  
Unified Framework ◽  
Rural And Urban Areas ◽  
Rural And Urban ◽  
Special Cases ◽  
Advanced Stages ◽  
Dynamic Path ◽  
Stages Of Economic Development ◽  
Shed Light

A model is presented which can yield a dynamic path of economic development from very early stages through more advanced stages in an attempt to shed light on what Alonso called the “five bell-shapes” within a unified framework. The model is able to explain not only the occurrence of a downturn in the rural population after the initial phase of population growth both in rural and urban areas, but also the delayed occurrence of such a downturn in many present-day developing countries. The author then focuses the later stages of economic development and explains two alternative courses of urbanization, namely, the reversal process and the continual-growth process, as special cases of the general model; which of the courses occurs depends on the value of the elasticity of urban agglomeration-economies.

scholarly journals Stability, bifurcation, and chaos control of a novel discrete-time model involving Allee effect and cannibalism

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Muhammad Sajjad Shabbir ◽  
Qamar Din ◽  
Khalil Ahmad ◽  
Asifa Tassaddiq ◽  
Atif Hassan Soori ◽  
...  
Keyword(s):  
Discrete Time ◽  
Chaos Control ◽  
Allee Effect ◽  
Bifurcation And Chaos ◽  
Time Model ◽  
Discrete Time Model

Feed-Forward Slope Compensated PFC for Chaos Control

2015 ◽  
Vol 24 (05) ◽  
pp. 1550065 ◽  
Author(s):  
Ya-Ni Li ◽  
Yin-Tang Yang ◽  
Zhang-Ming Zhu ◽  
Chao-Lin Zhang
Keyword(s):  
Chaos Control ◽  
Current Mode ◽  
Response Speed ◽  
System Stability ◽  
Nonlinear Phenomena ◽  
Bifurcation And Chaos ◽  
Feed Forward ◽  
Loop Control ◽  
Circuit Structure ◽  
Slope Compensation

Based on the dual-loop control peak current mode power factor correction (PFC) converter, a feed-forward slope compensation method is proposed, which could regulate the compensated slope real-time and suppress the loop perturbation, thus controlling chaos of the system for better stability. A dual-loop Boost PFC model with the feed-forward slope compensation is built to analyze the nonlinear phenomena in system, and the corresponding circuit structure is presented. The chaos control ability of the feed-forward slope compensation is studied theoretically, and the relation of compensated slope and feed-forward signal is deduced, as well as slope stability conditions. The simulation and measured results show that this method could effectively suppress system bifurcation and chaos phenomena, and improve the system working range and dynamic response speed, and eliminate the influence on system stability for without compensated, under compensated, and over compensated.

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