DocumentCode
3400926
Title
Chaos in four-dimensional autonomous circuits
Author
Saito, Toshimichi
Author_Institution
Dept. of Electr. Eng., Hosei Univ., Tokyo, Japan
fYear
1991
fDate
14-17 May 1991
Firstpage
64
Abstract
Proposes a four-dimensional autonomous hyperchaos generator whose nonlinear element is only one diode. The circuit is analyzed by replacing the diode with an ideal switch. This simplification makes it possible to formulate the two-dimensional return map rigorously, and its Lyapunov exponents confirm that the circuit exhibits hyperchaos. Also, the simplification is discussed from mathematical points of view and it is proved that the finite-time solution of the original system converges to that of the simplified system
Keywords
Lyapunov methods; chaos; nonlinear network analysis; Lyapunov exponents; finite-time solution; four-dimensional autonomous circuits; hyperchaos generator; ideal switch; nonlinear element; two-dimensional return map; Chaos; Character generation; Circuit analysis; Diodes; Ear; Equations; Newton method; Switches; Switching circuits; Voltage;
fLanguage
English
Publisher
ieee
Conference_Titel
Circuits and Systems, 1991., Proceedings of the 34th Midwest Symposium on
Conference_Location
Monterey, CA
Print_ISBN
0-7803-0620-1
Type
conf
DOI
10.1109/MWSCAS.1991.252127
Filename
252127
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