TY - JOUR
T1 - Quasiperiodicity and Torus Breakdown in a Power Electronic DC/DC Converter
AU - Zhusubaliyev, Zhanybai
AU - Soukhoterin, Evgeniy
AU - Mosekilde, Erik
PY - 2007
Y1 - 2007
N2 - 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. (c) 2006 Published by Elsevier B.V. on behalf of IMACS.
AB - 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. (c) 2006 Published by Elsevier B.V. on behalf of IMACS.
U2 - 10.1016/j.matcom.2006.06.021
DO - 10.1016/j.matcom.2006.06.021
M3 - Journal article
SN - 0378-4754
VL - 73
SP - 364
EP - 377
JO - Mathematics and Computers in Simulation
JF - Mathematics and Computers in Simulation
IS - 6
ER -