Title :
Chaos in four-dimensional autonomous circuits
Author :
Saito, Toshimichi
Author_Institution :
Dept. of Electr. Eng., Hosei Univ., Tokyo, Japan
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;
Conference_Titel :
Circuits and Systems, 1991., Proceedings of the 34th Midwest Symposium on
Conference_Location :
Monterey, CA
Print_ISBN :
0-7803-0620-1
DOI :
10.1109/MWSCAS.1991.252127
