Information about this paper
Further Studying
This has all been done in a "perfect" situation, namely there is no additional feedback to the system at all. The next step it to considers adding feedback to the system. One way to try to control the chaotic behavior is to add feedback. The work for next semester could include:
1.) The feedback on the quadratic map
2.) The feedback on the Ikeda map
and see how does the feedback affect our system.
Author Contact Information
PoJen Huang phone: (520) 628-7357
Address: 2801 N. Oracle Rd. Apt 614 Tucson AZ 85705
e-mail pojen_h@hotmail.com
Faculty Advisors
Robert Indik, Department of Mathematics, University of Arizona, Tucson Arizona 85721, (520) 621-1599
Nicholas Ercolani, Department of Mathematics, University of Arizona, Tucson Arizona 85721, (520) 621-4763
Joceline Lega, Department of Mathematics, University of Arizona, Tucson Arizona 85721, (520) 621-4350
References
Edward Ott, 'Chaos in Dynamical Systems', Cambridge University press 1993.
Kathleen T. Alligood, Tim D. Sauer, James A. Torks, 'Chaos An introduction to dynamical systems', Springer-Verlag, New York, 1997.
On-line Sources
Hyun-jeong Han, Adam Arluke, Chris Bevegin, Todd Cadwallader, Robert Thompson, 'A Study of the Single Mode Laser Rate Equations With Injection', University of Arizona, 1998.
Chris Bergevin and Steven Steinke, 'Synchronization of Chaotic Maps', University of Arizona, 1999.