DocumentCode
1655015
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
Volume
3
fYear
2001
fDate
6/23/1905 12:00:00 AM
Firstpage
1297
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Electronics, Circuits and Systems, 2001. ICECS 2001. The 8th IEEE International Conference on
Print_ISBN
0-7803-7057-0
Type
conf
DOI
10.1109/ICECS.2001.957453
Filename
957453
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