A self-invertibility condition for global periodicity of difference equations

Applied Mathematics Letters

Volumn 19, Issue 10, 2006, Pages 1078-1082

  Abu Saris, Raghib M ^a  

^a UNIVERSITY OF SHARJAH   (United Arab Emirates)

Author keywords

Global periodicity; Self invertible functions; Symmetric invariants

Indexed keywords

FUNCTIONS; MATHEMATICAL TECHNIQUES; NUMERICAL METHODS; PROBLEM SOLVING;

GLOBAL PERIODICITY; SELF-INVERTIBLE FUNCTIONS; SYMMETRIC INVARIANTS;

DIFFERENCE EQUATIONS;

EID: 33745202369     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2005.11.022     Document Type: Article

References (13)

1. n - 1. J. Differ. Equations Appl. 5 1 (1999) 57-69
2. Abu-Saris R. Characterization of rational periodic sequences. J. Differ. Equations Appl. 6 2 (2000) 233-242
3. Abu-Saris R. Global behavior of rational sequences involving piecewise power function. J. Comput. Anal. Appl. 2 1 (2000)
4. Abu-Saris R., and Al-Hassan Q. On global periodicity of difference equations. J. Math. Anal. Appl. 283 2 (2003) 468-477
5. Abu-Saris R., and Al-Jubouri N. Characterization of rational periodic sequences II. J. Differ. Equations Appl. 10 4 (2004) 409-418
6. Devaney R. Chaotic Dynamical Systems. 2nd ed. (2003), Westview
7. n - 1. J. Comput. Anal. Appl. 2 3 (2000)
8. Golumb M. Periodic recursive sequences. Amer. Math. Monthly 99 (1992) 882-883
9. n - 1. In: Elaydi S., Greaf J., Ladas G., and Peterson A. (Eds). Proc. of the First ICDEA (1995) 273-282
10. Kulenovic M., and Ladas G. Dynamics of Second Order Rational Difference Equations (2002), Chapman & Hall/CRC
11. Kurshan R., and Gobinath B. Recursively generated periodic sequences. Canad. J. Math. XXVI 6 (1974) 1356-1371
12. n - 1. J. Differ. Equations Appl. 9 2 (2003) 201-209
13. Sivak A. On the periodicity of recursive sequences. In: Elaydi S., Gayori I., and Ladas G. (Eds). Proc. of the Second ICDEA (1997) 559-566