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Stable Oscillations and Devil's Staircase in the Van Der Pol Oscillator.

Authors :
Gilbert, T.
Gammon, R. W.
Source :
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering; Jan2000, Vol. 10 Issue 1, p155, 10p
Publication Year :
2000

Abstract

A forced van der Pol relaxation oscillator is studied experimentally in the regime of stable oscillations. The variable parameter is chosen to be the driving frequency. For a range of parameter values, we show that the rotation number varies continuously from 0 to 1. This work provides experimental evidence that period-adding bifurcations to chaos previously reported by Kennedy and Chua are intimately connected to the existence of a regime of stable oscillations where the rotation number shows a Devil's-staircase structure. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
02181274
Volume :
10
Issue :
1
Database :
Complementary Index
Journal :
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering
Publication Type :
Academic Journal
Accession number :
6618692
Full Text :
https://doi.org/10.1142/S0218127400000098