Chaos, coexisting attractors, and fractal basin boundaries in DC drives with full-bridge converter

Nelson Okafor, Bashar Zahawi, Damian Giaouris, Soumitro Banerjee

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

17 Scopus citations

Abstract

The existence of period-doubling bifurcation cascades and chaos in DC drives with full-bridge converter is well known. This paper reports for the first time the occurrence of co-existing attractors with a fractal basin of attraction in this relatively simple deterministic system. At some parameter values the trajectories converge on either a period-1 or a period-3 attracting set depending on the initial state of the system. The attempt to separate the basins of attractions of each attracting set revealed the existence of a riddled basin of attraction. This phenomenon has practical consequences in that it might render future prediction of the system's steady state behavior almost impossible. Using Filippov's method, we show analytically that the co-existing period-3 attractor is born due to a saddle node bifurcation that occurs at some critical parameter value, and thus it co-exists with the stable period-1 attractor.

Original languageBritish English
Title of host publicationISCAS 2010 - 2010 IEEE International Symposium on Circuits and Systems
Subtitle of host publicationNano-Bio Circuit Fabrics and Systems
Pages129-132
Number of pages4
DOIs
StatePublished - 2010
Event2010 IEEE International Symposium on Circuits and Systems: Nano-Bio Circuit Fabrics and Systems, ISCAS 2010 - Paris, France
Duration: 30 May 20102 Jun 2010

Publication series

NameISCAS 2010 - 2010 IEEE International Symposium on Circuits and Systems: Nano-Bio Circuit Fabrics and Systems

Conference

Conference2010 IEEE International Symposium on Circuits and Systems: Nano-Bio Circuit Fabrics and Systems, ISCAS 2010
Country/TerritoryFrance
CityParis
Period30/05/102/06/10

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