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Hyperchaos evolved from the generalized Lorenz equation
Author(s) -
Li Yuxia,
Tang Wallace K. S.,
Chen Guanrong
Publication year - 2005
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.318
Subject(s) - chaotic , lorenz system , bifurcation , attractor , realization (probability) , mathematics , state (computer science) , control theory (sociology) , computer science , mathematical analysis , physics , algorithm , nonlinear system , artificial intelligence , statistics , control (management) , quantum mechanics
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 verified 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. Copyright © 2005 John Wiley & Sons, Ltd.