Dimension of Strange Attractors
Abstract
A relationship between the Lyapunov numbers of a map with a strange attractor and the dimension of the strange attractor has recently been conjectured. Here, the conjecture is numerically tested with use of several different maps, one of which results from a system of ordinary differential equations occurring in plasma physics. For the cases tested, the conjecture is verified to within the obtained accuracy.
- Publication:
-
Physical Review Letters
- Pub Date:
- October 1980
- DOI:
- 10.1103/PhysRevLett.45.1175
- Bibcode:
- 1980PhRvL..45.1175R
- Keywords:
-
- Dynamic Characteristics;
- Function Space;
- Liapunov Functions;
- Maps;
- Computer Programs;
- Differential Equations;
- Dimensional Analysis;
- Time Response;
- Physics (General);
- 47.25.-c;
- 02.90.+p;
- 52.35.Ra;
- Other topics in mathematical methods in physics;
- Plasma turbulence