The general Liénard polynomial system

Details The general Liénard polynomial system The general Liénard polynomial system

2012-02-16

arxiv.org/abs/1202.3540v2

Mathematics

Dynamical Systems

17 pages. arXiv admin note: substantial text overlap with arXiv:math/0611143

Scientific paper

In this paper, applying a canonical system with field rotation parameters and using geometric properties of the spirals filling the interior and exterior domains of limit cycles, we solve first the problem on the maximum number of limit cycles surrounding a unique singular point for an arbitrary polynomial system. Then, by means of the same bifurcationally geometric approach, we solve the limit cycle problem for a general Li\'enard polynomial system with an arbitrary (but finite) number of singular points. This is related to the solution of Hilbert's sixteenth problem on the maximum number and relative position of limit cycles for planar polynomial dynamical systems.

Affiliated with

Also associated with

No associations

Rating

The general Liénard polynomial system 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 The general Liénard polynomial system, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The general Liénard polynomial system will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-125187