Title :
Bifurcation and chaos in the piecewise-linear forced Duffing-van der Pol oscillator with a diode
Author :
Inaba, Naohiko ; Tsukamoto, Kazutaka ; Endo, Tetsuro
Author_Institution :
Dept. of Inf. Sci., Utsunomiya Univ., Japan
fDate :
6/23/1905 12:00:00 AM
Abstract :
In this paper, we analyze a forced Duffing-van der Pol oscillator with a diode by the use of a degenerate technique. We consider the case where the diode is assumed to operate as an ideal switch. In this case, the governing equation is represented by a constrained equation. From this equation, the Poincare´ map is derived as a one-dimensional map. The generation of various interesting phenomena such as torus and chaos etc. are well explained by the Poincare´ map
Keywords :
Poincare mapping; bifurcation; chaos; piecewise linear techniques; relaxation oscillators; semiconductor diodes; Poincare´ map; bifurcation; chaos; constrained equation; degenerate technique; diode; diode ideal switch operation; governing equation; piecewise-linear forced Duffing-van der Pol oscillator; torus; Bifurcation; Chaos; Chaotic communication; Circuits; Density estimation robust algorithm; Diodes; Equations; Oscillators; Piecewise linear techniques; Switches;
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.2001.957453
