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Van der Pol Oscillators Coupled by Piecewise-Linear Negative Resistor Asynchronous Oscillations by Self-Modulation Effect 
Hiroyuki KANASUGI Seiichiro MORO Shinsaku MORI
Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Vol.E79-A
No.10
pp.1551-1562 Publication Date: 1996/10/25 Online ISSN:
DOI: Print ISSN: 0916-8508 Type of Manuscript: Special Section PAPER (Special Section on Nonlinear Theory and its Applications (NOLTA)) Category: Nonlinear Circuits and Bifurcation Keyword: piecewise-linear characteristics, negative resistor, doublemode-like oscillation,
Full Text: PDF>>
Summary:
In this study, we investigate two oscillators which have the same natural frequency, mutually coupled by N -type piecewise-linear negative resistor. In this system, according to the negative range of the coupling negative resistor, the various inter-esting synchronization phenomena which are in-phase, opposite phase and doublemode-like oscillations are observed. Especially, we show doublemode-like oscillations that are not observed until now in mutually coupled van der Pol oscillators with the smooth cubic characteristics, although the ones with same natural frequencies are coupled. And we show the differences of the phenomena between two oscillators coupled by the smooth cubic negative resistor and the ones coupled by the piecewise-linear negative resistor.
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