Title :
Reality of chaos in four-dimensional hysteretic circuits
Author :
Saito, Toshimichi ; Suzuki, Takashi
Author_Institution :
Dept. of Electr. Eng., Hosei Univ., Tokyo, Japan
Abstract :
Rigorous evidence for chaos in a certain class of four-dimensional hysteretic circuits is presented. The case in which a coefficient matrix has complex eigenvalues and can be transformed into a Jordan form is considered. The chaos-generating condition is described
Keywords :
chaos; eigenvalues and eigenfunctions; hysteresis; matrix algebra; nonlinear network analysis; Jordan form; chaos-generating condition; coefficient matrix; complex eigenvalues; four-dimensional hysteretic circuits; Bismuth; Chaos; Circuits; Eigenvalues and eigenfunctions; Equations; Fractals; Hysteresis; Resistors; Sufficient conditions; Trajectory;
Conference_Titel :
Circuits and Systems, 1991., IEEE International Sympoisum on
Print_ISBN :
0-7803-0050-5
DOI :
10.1109/ISCAS.1991.176148