To a good approximation the family of maps proposed by for the Lorenz system characterizes the dynamical behavior of the system very well. Such maps are numerically constructed. Symbolic dynamics of the maps is discussed. The procedures to find admissible sequences at given kneading sequences are p
Hyperchaos evolved from the generalized Lorenz equation
β Scribed by Yuxia Li; Wallace K. S. Tang; Guanrong Chen
- Publisher
- John Wiley and Sons
- Year
- 2005
- Tongue
- English
- Weight
- 951 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0098-9886
- DOI
- 10.1002/cta.318
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β¦ Synopsis
In this letter, a new hyperchaotic system is formulated by introducing an additional state into the third-order generalized Lorenz equation. The existence of the hyperchaos is veriΓΏed with bifurcation analysis, and the bifurcation routes from periodic, quasi-periodic, chaotic and hyperchaotic evolutions are observed. Various attractors are illustrated not only by computer simulation but also by the realization of an electronic circuit.
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