Lyapunov-exponent spectra for the Lorenz model
Abstract
Using a fast algorithm we have calculated the Lyapunov exponents at about 6000 parameter points in the range 0.1<r<520, σ=10, and b=83 of the Lorenz model. In the chaotic region we find a large number of narrow windows containing periodic orbits-somewhat similar to what is the case in the one-dimensional logistic map.
- Publication:
-
Physical Review A
- Pub Date:
- May 1984
- DOI:
- 10.1103/PhysRevA.29.2928
- Bibcode:
- 1984PhRvA..29.2928F
- Keywords:
-
- Dynamic Models;
- Liapunov Functions;
- Nonlinear Systems;
- Stochastic Processes;
- Strange Attractors;
- Algorithms;
- Branching (Mathematics);
- Exponents;
- Periodic Functions;
- Spectrum Analysis;
- Windows (Intervals);
- Physics (General)