Quasiperiodicity and torus breakdown in a power electronic dc/dc converter

Zhanybai T. Zhusubaliyev, Evgeniy Soukhoterin and Erik Mosekilde

Mathematics and Computers in Simulation (MATCOM), 2007, vol. 73, issue 6, 364-377

Abstract: This paper discusses the mechanisms of torus formation and torus destruction in a dc/dc converter with relay control and hysteresis. We establish a chart of the dynamical modes in the input voltage versus load resistance parameter plane. This chart displays several different torus bifurcations along with their associated resonance tongues where periodic dynamics is observed. We show how a quintruple-turn torus is transformed into a single-turn torus in a homoclinic bifurcation and examine different mechanisms of torus destruction (via horseshoe formation and through period doubling). Particular emphasis is paid to following the changes of the stable and unstable manifolds in detail.

Keywords: dc/dc converter with relay control and hysteresis; Quasiperiodicity breakdown; Homoclinic bifurcations (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:73:y:2007:i:6:p:364-377

DOI: 10.1016/j.matcom.2006.06.021

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