Journal Papers

Research Journal Articles

1. R. Mazrooei-Sebdani, Long Time Delays Degenerate Bifurcations of Two-Species Interacting Models, Under Review.

2. R. Mazrooei-Sebdani, Complex Dynamics in Rational Planar Map, Under Review.

3. R. Mazrooei-Sebdani, Bifurcations of Delay Difference Equations with Applications to Population Models, Under Review.

4. R. Mazrooei-Sebdani (with F. Verhulst and H. Hanssmann), Hamiltonian Oscillators in 1:+-2:+-4 Resonance, preprint.

5. R. Mazrooei-Sebdani (with Z. Eskandari), On Computing Normal Forms of Symmetric Maps with Software Extensions, preprint.

6. R. Mazrooei-Sebdani, Homogeneous Rational Difference Equations of Degree 1: Convergence, Monotone and Oscillatory Solutions for Second and Third Order Case, Journal of Difference Equations and Applications, 18 ( 2012) 1979–2018.

7. R. Mazrooei-Sebdani, Convergence in Homogeneous Difference Equations of Degree 1, Journal of Difference Equations and Applications, 19 (2013) 13–26.

8. R. Mazrooei-Sebdani, Homogeneous Rational Systems of Difference Equations in the Plane, Journal of Difference Equations and Applications, 19 (2013) 273–303.

9. R. Mazrooei-Sebdani, Chaos in Rational Systems in the Plane Containing Quadratic Terms, Communications in Nonlinear Science and Numerical Simulation, 17 (2012) 3857–3865.

10. R. Mazrooei-Sebdani (with M. Dehghan,), Some results about the global attractivity of bounded

solutions of difference equations with applications to periodic solutions, Chaos, Solitons &

Fractals, 32 (2007) 1398–1412.

11.  D. M. Chan, E. R. Chang, M. Dehghan, C. M. Kent, , R. Mazrooei-Sebdani, H. Sedaghat, Asymptotic stability for difference equations with decreasing arguments, Journal of Difference Equations and Applications, 12 (2006) 109-123.

12. M. Dehghan, C. M. Kent, R. Mazrooei-Sebdani, N. L. Ortiz, H. Sedaghat, Dynamics of rational difference equations containing quadratic terms, Journal of Difference Equations and Applications, 14 (2008) 191-208.

13. M. Dehghan, C. M. Kent, R. Mazrooei-Sebdani, N. L. Ortiz, H. Sedaghat, Monotone and oscillatory solutions of a rational difference equation containing quadratic terms, Journal of Difference Equations and Applications, 14 (2008) 1045-1058.

14. R. Mazrooei-Sebdani, H. Sedaghat, Global behaviour of the Riccati difference equation of order two, Journal of Difference Equations and Applications, 17 (2011) 467-477.

15. R. Mazrooei-Sebdani, M. Dehghan, A non-trivial relation between some manydimensional chaotic discrete dynamical systems and some one-dimensional chaotic discretedynamical systems, Computer Physics Communications, 179 (2008) 628–633.

16. R. Mazrooei-Sebdani, M. Dehghan, Chaotic Behavior and Dynamics of Maps Used in a Method of Scrambling Signals, International Journal of Bifurcation and Chaos, 20 (2010) 4097–4101.

17. R. Mazrooei-Sebdani, M. Dehghan, A Generalized Semiconjugacy in Difference Equations, Acta Macta Matematica Scientia, 32 (2012) 978–988.

18. R. Mazrooei-Sebdani, Non-autonomous Homogeneous Rational Difference Equations of Degree One: Convergence and Monotone Solutions for Second and Third Order Case,Mathematical Methods in Applied Sciences, 4 (2014) 518-523.

19. R. Mazrooei-Sebdani, Planar Homogeneous Systems of Difference Equations, Mathematical Methods in Applied Sciences, 6 (2015) 1089-1097.

20. R. Mazrooei-Sebdani, Li-Yorke’Chaos in Rational Systems in the 3-dimensional Euclidean Spaces, Qualitative Theory of Dynamical Systems, Under Review.