On Urabe's criteria of isochronicity

Details On Urabe's criteria of isochronicity On Urabe's criteria of isochronicity

2000-03-30

arxiv.org/abs/nlin/0003065v1

J. Phys. A: Math. Gen. 32 (1999) 1279-1283

Nonlinear Sciences

Chaotic Dynamics

8 pages

Scientific paper

10.1088/0305-4470/32/7/017

We give a short proof of Urabe's criteria for the isochronicity of periodical
solutions of the equation $\ddot{x}+g(x)=0$. We show that apart from the
harmonic oscillator there exists a large family of isochronous potentials which
must all be non-polynomial and not symmetric (an even function of the
coordinate x).

Affiliated with

Also associated with

No associations

Rating

On Urabe's criteria of isochronicity 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 Urabe's criteria of isochronicity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Urabe's criteria of isochronicity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-201979