| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1890038 | Chaos, Solitons & Fractals | 2007 | 30 Pages |
Abstract
In this paper, the chaotic behaviors in a fractional order modified Duffing system are studied numerically by phase portraits, Poincaré maps and bifurcation diagrams. Linear transfer function approximations of the fractional integrator block are calculated for a set of fractional orders in (0, 1], based on frequency domain arguments. The total system orders found for chaos to exist in such systems are 1.8, 1.9, 2.0 and 2.1.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Zheng-Ming Ge, Chan-Yi Ou,