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

~ Back to Report

 

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 

~ Back to Report 

 

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. 

~ Back to Report