| Study on eigenvalue space of hyperchaotic canonical four-dimensional Chua’s circuit |
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| 引用本文： | 李冠林,陈希有. Study on eigenvalue space of hyperchaotic canonical four-dimensional Chua’s circuit[J]. 中国物理 B, 2010, 19(3): 30507-030507. DOI: 10.1088/1674-1056/19/3/030507 |
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| 作者姓名： | 李冠林 陈希有 |
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| 作者单位： | Department of Electrical and Electronics Engineering, Dalian University of Technology, Dalian 116023, China |
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| 基金项目： | Project supported by the NationalNatural Science Foundation of China (Grant No. 50877007). |
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| 摘 要： | The eigenvalue space of the canonical four-dimensionalChua's circuit which can realize every eigenvalue forfour-dimensional system is studied in this paper. First, theanalytical relations between the circuit parameters and theeigenvalues of the system are established, and therefore all thecircuit parameters can be determined explicitly by any given set ofeigenvalues. Then, the eigenvalue space of the circuit isinvestigated in two cases by the nonlinear elements used. Accordingto the types of the eigenvalues, some novel hyperchaotic attractorsare presented. Further, the dynamic behaviours of the circuit arestudied by the bifurcation diagrams and the Lyapunov spectra of theeigenvalues.
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| 关 键 词： | four-dimensional Chua’s circuit eigenvalue space hyperchaos |
| 收稿时间： | 2009-07-14 |
Study on eigenvalue space of hyperchaotic canonical four-dimensional Chua's circuit |
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| Li Guan-Lin and Chen Xi-You. Study on eigenvalue space of hyperchaotic canonical four-dimensional Chua's circuit[J]. Chinese Physics B, 2010, 19(3): 30507-030507. DOI: 10.1088/1674-1056/19/3/030507 |
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| Authors: | Li Guan-Lin and Chen Xi-You |
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| Affiliation: | Department of Electrical and Electronics Engineering, Dalian University of Technology, Dalian 116023, China |
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| Abstract: | The eigenvalue space of the canonical four-dimensionalChua's circuit which can realize every eigenvalue forfour-dimensional system is studied in this paper. First, theanalytical relations between the circuit parameters and theeigenvalues of the system are established, and therefore all thecircuit parameters can be determined explicitly by any given set ofeigenvalues. Then, the eigenvalue space of the circuit isinvestigated in two cases by the nonlinear elements used. Accordingto the types of the eigenvalues, some novel hyperchaotic attractorsare presented. Further, the dynamic behaviours of the circuit arestudied by the bifurcation diagrams and the Lyapunov spectra of theeigenvalues. |
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| Keywords: | four-dimensional Chua's circuit eigenvalue space hyperchaos |
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