SUPERCRITICAL PROPERTIES OF A RELAXATION OSCILLATOR

Author:

WU SHUN-GUANG ,DING XIAO-LING ,MA MING-QUAN ,YIN YUE-CAI ,NIN JIAN-JUN ,QU SHI-XIAN ,HE DA-REN ,

Abstract

In this paper we present the analytic expressions of partition lines in the parametric space of a piece-wise smooth mapping describing an electronic relaxation oscillator. The supercritical regions with permission of period-doubling bifurcation, prohibition of period-doubling bifurcation, and complete phase-locking are discussed. Among them the region, where period-doubling bifurcation is prohibited but chaos is permitted is reported for the first time to our knowledge. These kinds of phenomena and regions can be observed in a lot of similar systems.

Publisher

Acta Physica Sinica, Chinese Physical Society and Institute of Physics, Chinese Academy of Sciences

Subject

General Physics and Astronomy

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. STRANGE REPELLER'S CRISIS IN SOME NON-SMOOTH SYSTEMS;International Journal of Modern Physics B;2004-07-30

2. A Transient Crisis;International Journal of Modern Physics B;2003-09-30

3. Crisis of transient chaos in an electronic relaxation oscillator;Acta Physica Sinica;2003

4. Crisis of Transient Chaos;Chinese Physics Letters;2002-06-28

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