Abstract
Based on the Šilnikov criterion, a simple quadratic chaotic system is constructed, which has a single equilibrium point. The formation mechanism shows that this chaotic system has Smale horseshoes (homoclinic chaos), and numerical simulation demonstrates that there is a route to chaos through period-doubling bifurcations. In particular, the method of finding chaotic systems can be used to construct rather arbitrary chaotic attractors of even number of scrolls and arbitrary odd number of scrolls. © 2003 Elsevier Ltd. All rights reserved.
| Original language | English |
|---|---|
| Pages (from-to) | 985-993 |
| Journal | Chaos, Solitons and Fractals |
| Volume | 19 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Mar 2004 |
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