Nonlinear feedback for control of chaos

Physics – Condensed Matter

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

Important addition and corrections 12 pages (revtex and postscript figures) Submitted to Phys. Rev. E

Scientific paper

We generalize a method of control of chaos which uses delayed feedback at the period of an unstable orbit to stabilize that orbit. The generalization consists of substituting some portion of the nonlinear dynamical system with a delayed dynamics, rather than using a linear delay function for control. A further generalization, in which the control function retains memory of all previous periods, allows the region of the parameter space over which control can be achieved to be extended, but at the price of losing the ability to achieve superstability. Nonliner feedback results in a larger basin of attraction to the stabilized orbit than linear feedback. For a simple test mapping studied (the logistic map) the dimension of the system increases from one to two by introducing control. We show in the case involving memory, for a particular choice of the relationship between the control parameters, that the superstable orbit can be recovered without reducing the parameter space that can be controlled. This particular solution, in addition to having the largest basin of attraction of the methods considered, retains the dimension of the uncontrolled system.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Nonlinear feedback for control of chaos does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Nonlinear feedback for control of chaos, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonlinear feedback for control of chaos will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-508815

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.