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.