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arXiv.org e-Print Archive
Preprint . 2001
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Article . 2001 . Peer-reviewed
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Article . 2001
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Physical Review E
Article . 2004
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Physical Review E
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Imperfect homoclinic bifurcations

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 21 Aug 2001Embargo end date: 01 Jan 2001 English Publisher:American Physical Society (APS)Journal:Physical Review E, volume 64 (issn: 1063-651X, eissn: 1095-3787, Copyright policy )
Authors: Tom Mullin; Paul Glendinning; Jan Abshagen;

doi: 10.1103/physreve.64.036208 , 10.48550/arxiv.nlin/0103054

pmid: 11580423

arXiv: http://arxiv.org/abs/nlin/0103054

Imperfect homoclinic bifurcations

Abstract

Experimental observations of an almost symmetric electronic circuit show complicated sequences of bifurcations. These results are discussed in the light of a theory of imperfect global bifurcations. It is shown that much of the dynamics observed in the circuit can be understood by reference to imperfect homoclinic bifurcations without constructing an explicit mathematical model of the system.

8 pages, 11 figures, submitted to PRE

Related Organizations
Keywords

FOS: Physical sciences, Chaotic Dynamics (nlin.CD), Nonlinear Sciences - Chaotic Dynamics

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    		 27
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    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
27
Average
Top 10%
Top 10%
Green