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A Hyperchaotic Attractor with Multiple Positive Lyapunov Exponents |
| HU Guo-Si |
| Deptment of Optics and Electronics, Yantai University, Shandong 264005 |
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| Cite this article: |
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HU Guo-Si 2009 Chin. Phys. Lett. 26 120501 |
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Abstract There are many hyperchaotic systems, but few systems can generate hyperchaotic attractors with more than three PLEs (positive Lyapunov exponents). A new hyperchaotic system, constructed by adding an approximate time-delay state feedback to a five-dimensional hyperchaotic system, is presented. With the increasing number of phase-shift units used in this system, the number of PLEs also steadily increases. Hyperchaotic attractors with 25 PLEs can be generated by this system with 32 phase-shift units. The sum of the PLEs will reach the maximum value when 23 phase-shift units are used. A simple electronic circuit, consisting of 16 operational amplifiers and two analogy multipliers, is presented for confirming hyperchaos of order 5, i.e., with 5 PLEs.
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| Keywords:
05.45.-a
05.45.Jn
05.45.Pq
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Received: 09 January 2009
Published: 27 November 2009
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| PACS: |
05.45.-a
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(Nonlinear dynamics and chaos)
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05.45.Jn
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(High-dimensional chaos)
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05.45.Pq
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(Numerical simulations of chaotic systems)
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