Fixed Points of Two-Parameter Family of Function

Ming-Gar Lee, Chih-Chang Ho

Department of Applied Mathematics, Chinese Culture University, Taipei, Taiwan.

DOI: 10.4236/am.2015.63052                

Abstract

We establish sufficient conditions of the multiplicity of real fixed points of two-parameter family .
Moreover, the behaviors of these fixed points are studied.

Keywords

Fixed Points, Attracting Fixed Points, Rationally Indifferent Fixed Points, Repelling Fixed Points

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	Scheinerman, E.R. (1996) Invitation to Dynamical System. Prentice-Hall, Upper Saddle River.
[2]	Kapoor, G.P. and Prasad, M.G.P. (1998) Dynamics of : The Julia Set and Bifurcation. Ergodic Theory and Dynamical Systems, 18, 1363-1383. http://dx.doi.org/10.1017/S0143385798118011
[3]	Sajid, M. and Alsuwaiyan, A.S. (2014) Chaotic Behavior in the Real Dynamics of a One Parameter Family of Functions. International Journal of Applied Science and Engineering, 12, 289-301.
[4]	Prasad, M.G.P. (2005) Chaotic Burst in the Dynamics of . Regular and Chaotic Dynamics, 10, 71- 80. http://dx.doi.org/10.1070/RD2005v010n01ABEH000301
[5]	Sajid, M. and Kapoor, G.P. (2004) Dynamics of a Family of Non-Critically Finite Even Transcendental Meromorphic Functions. Regular and Chaotic Dynamics, 9, 143-162. http://dx.doi.org/10.1070/RD2004v009n02ABEH000272
[6]	Devaney, R.L. (1991)〖 e〗^z-Dynamics and Bifurcation. International Journal of Bifurcation and chaos, 1, 287-308. http://dx.doi.org/10.1142/S0218127491000221
[7]	Sajid, M. (2015) On Real Fixed Points of One Parameter Family of Function . Tamkang Journal of Mathematics, 46, 61-65.
[8]	Sajid, M. (2014) On Fixed Points of One Parameter Family of Function II. International Journal of Mathematical Analysis, 8, 891-894.