A note on a piecewise-linear Duffing-type system

Details A note on a piecewise-linear Duffing-type system A note on a piecewise-linear Duffing-type system

2005-12-14

arxiv.org/abs/math/0512341v2

Mathematics

Dynamical Systems

7 pages

Scientific paper

In a recent work it was suggested that the number of limit cycles in a piecewise-linear system could be closely related to the number of zones, that is the number of parts of the phase plane where the system is linear. In this note we construct an example of a class of perturbed piecewise systems with n zones such that the first variation of the displacement function is identically zero. Then we conjecture that the system has no limit cycles using the second variation of the displacement function expressed for continuous functions. This system can be seen as a feedback system in control theory.

Affiliated with

Also associated with

No associations

Rating

A note on a piecewise-linear Duffing-type 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 A note on a piecewise-linear Duffing-type system, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A note on a piecewise-linear Duffing-type system will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-81937