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Chaotic Phenomena in a Circuit with a Diode due to the Change of the Oscillation Frequency
Naohiko INABA Shinsaku MORI
IEICE TRANSACTIONS (1976-1990)
Publication Date: 1988/09/25
Print ISSN: 0000-0000
Type of Manuscript: PAPER
Category: Nonlinear Problems
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In this paper, chaotic phenomena in a simple circuit which has a new type of vector field, are discussed. It has only one nonlinear diode which operates as a limiter, and a real eigenvalue when the diode is on, is equal to zero. In addition, the physical mechanisms of the generation for chaos are clearer. The switching operation of the diode changes the oscillation frequency in the circuit considerably and this ettect causes a stretching and folding mechanism. Moreover by idealizing the diode, the attractor is proved to be chaos in the sense of Li-Yorke. Lastly the theoretical results are verified by circuit experiments.