On the recursive sequence xn+1 = γxn-1+δxn-2/Cxn-1+Dxn-2

Journal of Difference Equations and Applications

Volumn 9, Issue 8, 2003, Pages 701-720

  Kalabusic S ^a   Kulenovic M R S ^b  

^a UNIVERSITY OF SARAJEVO   (Bosnia and Herzegovina)

^b University of Rhode Island   (United States)

Author keywords

Difference equation; Invariant intervals; Local asymptotic stability; Period two solutions; Semicycles

Indexed keywords

EID: 0037715196     PISSN: 10236198     EISSN: None     Source Type: Journal    
DOI: 10.1080/1023619021000042171     Document Type: Conference Paper

References (14)

1. K. T. Alligood, T. Sauer and J. A. Yorke, CHAOS, An Introduction to Dynamical Systems, Springer-Verlag, New York/Berlin/Heidelberg/Tokyo, 1997.
2. n-1), Nolin. Anal. TMA, 47 (2001), 4603-4614.
3. S. Elaydi, Discrete Chaos, Chapman & Hall/CRC Press, Boca Raton/London, 2000.
4. n = 0, To appear.
5. n), Math. Sci. Res. Hot-Line, 4(2) (2000), 1-11.
6. n-1), Comm. Appl. Nonlinear Anal., 1 (1994), 61-72.
7. J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, Springer-Verlag, New York/ Berlin/ Heidelberg/Tokyo, 1983.
8. V. L. Kocic and G. Ladas, Global Behavior of Nonlinear Difference Equations of Higher Order with Applications, Kluwer Academic Publishers, Dordrecht, 1993.
9. n-1, J. Math. Anal. Appl., 251 (2000), 571-586.
10. M. R. S. Kulenović and G. Ladas, Dynamics of Second Order Rational Difference Equations, with Open Problems and Conjectures, CRC Press, Boca Raton, 2001.
11. n), J. Differ. Eqs. Appl. 6(5) (2000), 563-576.
12. n-1), Math. Sci. Res. Hot-Line, 2(5) (1998), 1-16.
13. M. R. S. Kulenović and O. Merino, Discrete Dynamical Systems and Difference Equations with Mathematica, Chapman & Hall/CRC Press, Boca Raton/London, 2002.
14. C. Robinson, Stability, Symbolic Dynamics, and Chaos, CRC Press, Boca Raton, 1995.