Title :
Chaotic phenomena in an LCR oscillator with a hysteresis inductor
Author :
Nishio, Yoshifumi ; Mori, Shinsaku
Author_Institution :
Dept. of Electr. Eng., Keio Univ., Yokohama, Japan
Abstract :
An extremely simple LCR oscillator with a hysteresis inductor is analyzed. It is of great interest that this two-dimensional autonomous circuit generates chaos. This circuit is described by a second-order differential equation in a piecewise fashion. Therefore, the Poincare map can be derived as a one-dimensional map strictly. For this Poincare map the parameter region for which chaotic attractors are generated is obtained under the simple assumption that the definition of chaos is that the Poincare map possesses the unique absolutely continuous invariant measure
Keywords :
chaos; differential equations; hysteresis; inductors; nonlinear network analysis; oscillators; LCR oscillator; Poincare map; chaos; chaotic attractors; hysteresis inductor; second-order differential equation; two-dimensional autonomous circuit; Capacitors; Chaos; Circuits; Hysteresis; Inductors; Nonlinear equations; Oscillators; Power system modeling; Resistors; Voltage;
Conference_Titel :
Circuits and Systems, 1991., IEEE International Sympoisum on
Print_ISBN :
0-7803-0050-5
DOI :
10.1109/ISCAS.1991.176144
