Synthesis of n-scroll attractors using saturated functions from high-level simulation
Abstract
Modeling and simulation of a chaotic oscillator based on saturated nonlinear functions (SNLFs) are presented for the synthesis of n-scrolls attractors. First, the oscillator is simulated at the electronic system level by applying state variables and piecewise-linear approximation. Second, the dynamic ranges are scaled to control the breaking points and slopes within practical values. Additionally, the frequency scaling of n-scrolls attractors is performed. Finally, the SNLF is synthesized using operational amplifiers to generate 2, 3, 4, 5 and 6-scrolls attractors. Theoretical results are confirmed by SPICE simulations to show the usefulness of the proposed synthesis approach.
- Publication:
-
Journal of Physics Conference Series
- Pub Date:
- February 2008
- DOI:
- 10.1088/1742-6596/96/1/012050
- Bibcode:
- 2008JPhCS..96a2050M