Title :
Collapse of lost solution and chaos in a driven piecewise linear Rayleigh oscillator
Author_Institution :
Dept. of Inf. Sci., Utsunomiya Univ., Japan
fDate :
6/23/1905 12:00:00 AM
Abstract :
In this paper, we study the response of lost solution generating circuit to an extremely small periodic perturbation. The lost solution breaks down by this perturbation and chaos is generated. To analyze this phenomena in detail, piecewise linear technique and degenerate technique are applied. If these techniques are applied, Poincare map is derived rigorously as a one-dimensional map. The chaos generation is well explained by this map
Keywords :
Poincare mapping; chaos; oscillators; piecewise linear techniques; Poincare map; Rayleigh oscillator circuit; chaos generation; degenerate technique; lost solution; one-dimensional map; periodic perturbation; piecewise linear technique; Bifurcation; Chaos; Circuit analysis; Circuit noise; Equations; Information science; Laboratories; Piecewise linear techniques; Switches; Voltage-controlled oscillators;
Conference_Titel :
Electronics, Circuits and Systems, 2001. ICECS 2001. The 8th IEEE International Conference on
Print_ISBN :
0-7803-7057-0
DOI :
10.1109/ICECS.2001.957739
