A Hyperchaotic Attractor with Multiple Positive Lyapunov Exponents |
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| Authors: | HU Guo-Si |
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| Affiliation: | Deptment of Optics and Electronics, Yantai University, Shandong 264005 |
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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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