Selected publications by Hassan Sedaghat

A. Books, monographs and book chapters

*1. **Form Symmetries and Reductions of Order in Difference Equations*, CRC Press/Chapman & Hall, 2011

*2. **Nonlinear Difference Equations: Theory with Applications to Social Science Models*, Springer (formerly, Kluwer Academic), 2003

*3. **Difference equations as discrete dynamical systems**, Chapter 18 in Handbook of Dynamic Systems Modeling**, P. A. Fishwick (Ed.), Chapman & Hall/CRC, 2007*

B. Articles

*1. *Folding, cycles and chaos in planar systems, *J. Difference Eq. Appl. **21, 1-15, 2015*

2. Dynamics of planar systems that model stage-structured populations (with N. Lazaryan) *Discr**. Dyn. Nature and Soc*__. __Article ID 137182, 14 pages, 2015

3. Semiconjugate factorization, periodicity and boundedness in nonlinear, higher order difference equations, *Comp. Math. Appl.*, 66, 2231-2238, 2013

4. Complex patterns of spontaneous initiations and terminations of reentrant circulation in a loop of cardiac tissue (with M.A. Wood, J.W. Cain, C-K. Cheng, C.M. Baumgarten and D.M. Chan), *Journal of Theoretical Biology*, 254, pp.14-26, 2008

*5. **Criteria for convergence, oscillation and bistability of pulse circulation in a ring of excitable media** (with C.M. Kent and M.A. Wood), SIAM** Journal of Applied Mathematics,** 66, pp.573-590, 2005*

*6. *Periodicity and convergence for *x**_(n+1) = |x_n - x**_(n-1)|, Journal of Mathematical Analysis and Applications**, vol.291, pp.31-39, 2004*

7. Convergence, Oscillations and Chaos in A Discrete Model of Combat, *SIAM Review*, vol.44, pp.74-92, 2002

8. The Asymptotic Behavior of a Class of Nonlinear Delay Difference Equations, (with W. Wang) *Proceedings of the American Mathematical Society*, vol.129, pp.1775-1783, 2000.

9. Inverse Map Characterization of Asymptotic Stability on the Line, *Rocky Mountain Journal of Mathematics*, vol.29, pp.1505-1519, 1999.

10. A Class of Nonlinear, Second Order Difference Equations from Macroeconomics, *Nonlinear Analysis: Theory, Methods and Applications*, vol.29, pp.593-603, 1997.

11. A Variant of the Slutsky Equation in a Dynamical Account-Based Model, *Economics Letters*, vol.50, pp.367-371, 1996

12. On the Relational Basis of Cayley's Theorem and of Similar Representations for Algebras, *Transactions of the American Mathematical Society*, Vol.347, pp.3053-3060, 1995.