Title :
Extremely simple hyperchaos generators including one diode
Author :
Nishio, Yoshifumi ; Mori, Shinsaku ; Saito, Toshimichi
Author_Institution :
Dept. of Electr. Eng., Keio Univ., Yokohama, Japan
Abstract :
Hyperchaos is usually defined as a chaotic attractor with more than one positive Lyapunov exponent. Two extremely simple hyperchaos generators including one diode are analyzed. For the case where the diodes are regarded as ideal switches, the two-dimensional Poincare map can be derived rigorously and its Lyapunov exponents can be calculated by using piecewise exact solutions. It is confirmed that the resonant frequencies governing the diode are deeply related with the generation of hyperchaos
Keywords :
Lyapunov methods; chaos; nonlinear network analysis; piecewise-linear techniques; Lyapunov exponents; diodes; hyperchaos generators; ideal switches; piecewise exact solutions; resonant frequencies; two-dimensional Poincare map; Chaos; Circuit analysis; Diodes; Jacobian matrices; Magnetooptic recording; Resistors; Resonant frequency; Switches; Switching circuits; Zero voltage switching;
Conference_Titel :
Circuits and Systems, 1992. ISCAS '92. Proceedings., 1992 IEEE International Symposium on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-0593-0
DOI :
10.1109/ISCAS.1992.230617
