On the existence of chaotic circumferential waves in spinning disks

Details On the existence of chaotic circumferential waves in spinning disks On the existence of chaotic circumferential waves in spinning disks

2007-04-11

arxiv.org/abs/0704.1406v1

Nonlinear Sciences

Chaotic Dynamics

8 pages, 5 figures, to appear in CHAOS (Volume 17, Issue 2, June 2007)

Scientific paper

10.1063/1.2735813

We use a third-order perturbation theory and Melnikov's method to prove the existence of chaos in spinning circular disks subject to a lateral point load. We show that the emergence of transverse homoclinic and heteroclinic points respectively lead to a random reversal in the traveling direction of circumferential waves and a random phase shift of magnitude $\pi$ for both forward and backward wave components. These long-term phenomena occur in imperfect low-speed disks sufficiently far from fundamental resonances.

Affiliated with

Also associated with

No associations

Rating

On the existence of chaotic circumferential waves in spinning disks 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 On the existence of chaotic circumferential waves in spinning disks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the existence of chaotic circumferential waves in spinning disks will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-673225