Name
Title | ||
|---|---|---|
Hyperchaos and horseshoe in a 4D memristive system with a line of equilibria and its implementation |
Abstract | ||
|---|---|---|
AbstractWe study a four-dimensional system modified from a three-dimensional chaotic circuit by adding a memristor, which is a new fundamental electronic element with promising applications. Although the system has a line of infinitely many equilibria, our studies show that when the strength of the memristor increases, it can exhibit rich interesting dynamics, such as hyperchaos, long period-1 orbits, transient hyperchaos, as well as non-attractive behaviors frequently interrupting hyperchaos. To verify the existence of hyperchaos and reveal its mechanism, a horseshoe with two-directional expansion is studied rigorously in detail by the virtue of the topological horseshoe theory and the computer-assisted approach of a Poincaré map. At last, the system is implemented with an electronic circuit for experimental verification. Copyright © 2013 John Wiley & Sons, Ltd. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1002/cta.1912 | Periodicals |
Keywords | Field | DocType |
hyperchaos, memristor, memristive circuits, topological horseshoe | Memristor,Poincaré map,Control theory,Chaotic,Electronic circuit,Mathematics | Journal |
Volume | Issue | ISSN |
42 | 11 | 0098-9886 |
Citations | PageRank | References |
16 | 1.28 | 22 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Qingdu Li | 1 | 160 | 26.78 |
| shiyi hu | 2 | 16 | 1.28 |
| song tang | 3 | 23 | 2.22 |
| Guang Zeng | 4 | 22 | 4.52 |