Symmetries, Stability, and Control in Nonlinear Systems and Networks

Details Symmetries, Stability, and Control in Nonlinear Systems and Networks Symmetries, Stability, and Control in Nonlinear Systems and Networks

2010-10-31

arxiv.org/abs/1011.0188v2

Mathematics

Dynamical Systems

16 pages, second version

Scientific paper

This paper discusses the interplay of symmetries and stability in the analysis and control of nonlinear dynamical systems and networks. Specifically, it combines standard results on symmetries and equivariance with recent convergence analysis tools based on nonlinear contraction theory and virtual dynamical systems. This synergy between structural properties (symmetries) and convergence properties (contraction) is illustrated in the contexts of network motifs arising e.g. in genetic networks, of invariance to environmental symmetries, and of imposing different patterns of synchrony in a network.

Affiliated with

Also associated with

No associations

Rating

Symmetries, Stability, and Control in Nonlinear Systems and Networks 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 Symmetries, Stability, and Control in Nonlinear Systems and Networks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Symmetries, Stability, and Control in Nonlinear Systems and Networks will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-663961