Chaotic Phenomena in a Circuit with a Diode due to the Change of the Oscillation Frequency

Naohiko INABA  Shinsaku MORI  

Publication
IEICE TRANSACTIONS (1976-1990)   Vol.E71   No.9   pp.842-849
Publication Date: 1988/09/25
Online ISSN: 
Print ISSN: 0000-0000
Type of Manuscript: PAPER
Category: Nonlinear Problems
Keyword: 


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Summary: 
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.