Some geometrical models of chaotic dynamics

Details Some geometrical models of chaotic dynamics Some geometrical models of chaotic dynamics

Sep 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987rspsa.413..171s&link_type=abstract

(Royal Society, Discussion on Dynamical Chaos, London, England, Feb. 4, 5, 1987) Royal Society (London), Proceedings, Series A -

Physics

6

Chaos, Particle Motion, Particle Trajectories, Surface Geometry, Coding, Discrete Functions, Dynamic Models

Scientific paper

The free motion of a particle on a surface of constant negative curvature (a pseudosphere) was one of the first models of chaotic motion. It became the prototype for the theory of hyperbolic systems developed by Bowen (1973) and Sinai (1968). In these models, geometry suggests a symbolic coding which already exhibits fully chaotic behavior. It is possible to return to these models to seek possible manifestations of quantum chaos. Here, the mathematical technique is harmonic analysis on hyperbolic space. Chaotic behavior seems to appear both in the behavior of individual eigenfunctions and in the sequence of spectral values.

Affiliated with

Also associated with

No associations

Rating

Some geometrical models of chaotic dynamics 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 Some geometrical models of chaotic dynamics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Some geometrical models of chaotic dynamics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1678008