Scarring by homoclinic and heteroclinic orbits

Details Scarring by homoclinic and heteroclinic orbits Scarring by homoclinic and heteroclinic orbits

2006-06-12

arxiv.org/abs/nlin/0606034v1

Phys. Rev. Lett. 97, 094101 (2006)

Nonlinear Sciences

Chaotic Dynamics

5 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.97.094101

In addition to the well known scarring effect of periodic orbits, we show here that homoclinic and heteroclinic orbits, which are cornerstones in the theory of classical chaos, also scar eigenfunctions of classically chaotic systems when associated closed circuits in phase space are properly quantized, thus introducing strong quantum correlations. The corresponding quantization rules are also established. This opens the door for developing computationally tractable methods to calculate eigenstates of chaotic systems.

Affiliated with

Also associated with

No associations

Rating

Scarring by homoclinic and heteroclinic orbits 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 Scarring by homoclinic and heteroclinic orbits, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Scarring by homoclinic and heteroclinic orbits will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-648096