TITLE:

CHAOS CONTROL: OVERVIEW AND PERSPECTIVES (No. 24)

DATE:

Friday, October 24th, 2003

TIME:

3:30 PM

LOCATION:

GMCS 214

SPEAKER:

Hugo Gonzaz-Hernaez, CICESE – La Salle University, Mexico

ABSTRACT:

In recent years, the attention to chaos control in the nonlinear scientific community has increased rapidly. There are lots of reasons for controlling chaotic behavior. In some cases it is desirable to have this kind of behavior (turbulence in wings of airplanes) and in some others it is totally undesirable (industrial processes). In a wider sense, chaos control can be understood as a process in which chaotic behavior is increased whenever is necessary and suppressed when it is harmful. This process involves the transition from chaos to order and sometimes the transition from chaos to chaos, depending on the situation. When chaos control involves reducing or suppressing chaos we are talking about stabilizing fixed points or periodic orbits or reducing the largest Lyapunov exponent of the system. When the goal is to reduce the bad chaotic behavior and induce the good one, the problem depends on the specific situation because there is no chaotic orbit characterization universally accepted (sometimes Lyapunov exponents are used). In this talk an overview of certain methodologies for controlling chaos will be reviewed and perspectives in this field under the scope of the author will be given.

HOST:

Antonio Palacios

DOWNLOAD: