Journal article
Prototypes of attractors in four dimensions
In
Physical Review E. Statistical, Nonlinear, and Soft Matter Physics
—
1993, Volume 48, Issue 6, pp. R4172-R4174
Abstract
We study an extension of Duffing's equation to three variables with external forcing. Starting from a phase-space preserving chaos, three prototypes of chaotic attractors with a dimension larger than 3 can be derived. We provide examples of hyperchaos and a ''bifractal'' in a four-dimensional how. The second-order Poincare cross section of hyperchaotic how is qualitatively equivalent to the first-order cross section of Ueda's attractor with the same forcing.
| Language: | English |
|---|---|
| Year: | 1993 |
| Pages: | R4172-R4174 |
| ISSN: | 10953787 , 1063651x , 24700053 and 24700045 |
| Types: | Journal article |
| DOI: | 10.1103/PhysRevE.48.R4172 |
| ORCIDs: | 0000-0001-9386-6679 |
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