Multiple cycles and the Bautin bifurcation in the Goodwin model of a class struggle

Giovanni Bella

doi:10.15388/NA.18.3.14009

Articles

Giovanni Bella

University of Cagliari, Italy

Published 2013-07-25

https://doi.org/10.15388/NA.18.3.14009

PDF

Keywords

global indeterminacy
distibutive conflict
business cycles
Goodwin model

How to Cite

Bella, G. (2013) “Multiple cycles and the Bautin bifurcation in the Goodwin model of a class struggle”, Nonlinear Analysis: Modelling and Control, 18(3), pp. 265–274. doi:10.15388/NA.18.3.14009.

Download Citation

Abstract

The aim of this paper is to present the necessary and sufficient conditions for the emergence of a generalized Hopf (i.e., Bautin) bifurcation in the Goodwin’s model of a class struggle, and determine the parameter regions where multiple attracting and repelling limit cycles around the steady state may coexist.

PDF

Downloads

Download data is not yet available.

Most read articles by the same author(s)

Kusum Lata, Arvind Kumar Kumar Misra, Jang Bahadur Bahadur Shukla, Modeling the effect of deforestation caused by human population pressure on wildlife species , Nonlinear Analysis: Modelling and Control: Vol. 23 No. 3 (2018): Nonlinear Analysis: Modelling and Control
Yong Zhang, Zengqiang Chen, Mingwei Sun, Xinghui Zhang, Trajectory tracking control of a quadrotor UAV based on sliding mode active disturbance rejection control , Nonlinear Analysis: Modelling and Control: Vol. 24 No. 4 (2019): Nonlinear Analysis: Modelling and Control
Jingting Hu, Guixia Sui, Xiaoxiao Lu, Xiaodi Li, Fixed-time control of delayed neural networks with impulsive perturbations , Nonlinear Analysis: Modelling and Control: Vol. 23 No. 6 (2018): Nonlinear Analysis: Modelling and Control
Min Guo, Haoyu Dong, Jianxin Liu, Hongwei Yang, The time-fractional mZK equation for gravity solitary waves and solutions using sech-tanh and radial basic function method , Nonlinear Analysis: Modelling and Control: Vol. 24 No. 1 (2019): Nonlinear Analysis: Modelling and Control
Gediminas Gaidulis, Matteo Selmi, Diana Zakarkaitė, Audrius Aidietis, Rimantas Kačianauskas, Modelling and simulation of mitral valve for transapical repair applications , Nonlinear Analysis: Modelling and Control: Vol. 24 No. 4 (2019): Nonlinear Analysis: Modelling and Control
Guo-Cheng Wu, Thabet Abdeljawad, Jinliang Liu, Dumitru Baleanu, Kai-Teng Wu, Mittag-Leffler stability analysis of fractional discrete-time neural networks via fixed point technique , Nonlinear Analysis: Modelling and Control: Vol. 24 No. 6 (2019): Nonlinear Analysis: Modelling and Control
Fanchao Kong, Quanxin Zhu, Feng Liang, Juan J. Nieto, Robust fixed-time synchronization of discontinuous Cohen–Grossberg neural networks with mixed time delays , Nonlinear Analysis: Modelling and Control: Vol. 24 No. 4 (2019): Nonlinear Analysis: Modelling and Control
Mustafa Inc, Aliyu Isa Isa Aliyu, Abdullahi Yusuf, Dumitru Baleanu, Optical solitons and modulation instability analysis to the quadratic-cubic nonlinear Schrödinger equation , Nonlinear Analysis: Modelling and Control: Vol. 24 No. 1 (2019): Nonlinear Analysis: Modelling and Control
A. Lahrouz, L. Omari, D. Kiouach, Global analysis of a deterministic and stochastic nonlinear SIRS epidemic model , Nonlinear Analysis: Modelling and Control: Vol. 16 No. 1 (2011): Nonlinear Analysis: Modelling and Control
Lijun Pan, Jinde Cao, Ahmed Alsaedi, Stability of reaction–diffusion systems with stochastic switching , Nonlinear Analysis: Modelling and Control: Vol. 24 No. 3 (2019): Nonlinear Analysis: Modelling and Control

1 2 3 4 5 > >>