Using synchronization of chaos to identify the dynamics of unknown systems

Details Using synchronization of chaos to identify the dynamics of unknown systems Using synchronization of chaos to identify the dynamics of unknown systems

2009-09-16

arxiv.org/abs/0909.2926v1

Chaos, 19, 033108, (2009)

Physics

Condensed Matter

Disordered Systems and Neural Networks

16 Pages, 5 figures

Scientific paper

10.1063/1.3186458

We address the issue of how to identify the equations of a largely unknown chaotic system from knowledge about its state evolution. The technique can be applied to the estimation of parameters that drift slowly with time. To accomplish this, we propose an adaptive strategy that aims at synchronizing the unknown real system with another system whose parameters are adaptively evolved to converge on those of the real one. Our proposed strategy is tested to identify the equations of the Lorenz and the Rossler systems. We also consider the effects of measurement noise and of deviation of our fitting model from consistency with the true dynamics.

Affiliated with

Also associated with

No associations

Rating

Using synchronization of chaos to identify the dynamics of unknown systems 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 Using synchronization of chaos to identify the dynamics of unknown systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Using synchronization of chaos to identify the dynamics of unknown systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-582223