On the analysis of stability, bifurcation, chaos and chaos control of Kopel map

Chaos, solitons and fractals

Volumn 10, Issue 11, 1999, Pages 1909-1916

  Agiza, H N ^a  

^a Mansoura University   (Egypt)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); CONTROL THEORY; DIFFERENCE EQUATIONS; LYAPUNOV METHODS; MATRIX ALGEBRA; NONLINEAR EQUATIONS; SYSTEM STABILITY;

CHAOS CONTROL; KOPEL MAP; NONLINEAR DIFFERENCE EQUATIONS;

CHAOS THEORY;

EID: 0033229539     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(98)00210-0     Document Type: Article

References (9)

1. Ahmed, E., Preprint. Mansoura University, 1997.
2. Ahmed, E., Agiza, H. N., Hassan, S. M., On modelling advertisement in Cournot Duopoly. Chaos, Solitons and Fractals, 1999, 10(7), 1179-1184.
3. Devany, R. L., 'Introduction to Chaotic Dynamical Systems', Addison-Wesley, New York (1989).
4. Edelstein-Keshet, L., Mathematical Models in Biology. Random House, New York, 1988.
5. Kaas, L., Stabilizing chaos in a dynamic macroeconomic model. Jour, of Economic Behaviour and Organization, 1999, (in press).
6. Kopel, M., Simple and complex adjustment dynamics in Cournot Duopoly model. Chaos, Solitons and Fractals, 1996, 7(12), 2031-2048.
7. Luhta, I. and Virtanen, I., Chaos, Solitons and Fractals, 1996, 7, 2083.
8. Ott, E., Grebogi, C., Yorke, J. A., Controlling chaos. Phys. Rev. Lett., 1990, 64, 1196-1199.
9. Sonis, M., Once more on Henon map: Analysis of bifurcations. Chaos, Solitons and Fractals, 1996, 7(12), 2215-2234.