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Hyperchaos of higher order and its circuit implementation
Author(s) -
Hu Guosi
Publication year - 2011
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.613
Subject(s) - lyapunov exponent , attractor , control theory (sociology) , chen , state (computer science) , electronic circuit , order (exchange) , ring (chemistry) , mathematics , computer science , topology (electrical circuits) , engineering , algorithm , mathematical analysis , chaotic , combinatorics , electrical engineering , artificial intelligence , paleontology , chemistry , control (management) , organic chemistry , finance , economics , biology
Though numerous hyperchaotic systems are reported, few of them can generate hyperchaotic attractors with more than three positive Lyapunov exponents. A new hyperchaotic system, constructed by adding the approximate time‐delayed state feedback to Chen system, is presented in this paper. This system has ring architecture with Chen system and several all‐pass filters coupled. With the increase of the number of all‐pass filters used in this system, the number of positive Lyapunov exponents also increases steadily. Hyperchaos of order 11 can be generated by this system. The resulting system is demonstrated by computer simulations and confirmed by an electronic circuit. Copyright © 2009 John Wiley & Sons, Ltd.