479 Bifurcation Phenomena of a Parallel Blower System

Abstract

We study a parallel blower system that is mQdelled by a set of the third order autonoumous ordinary differntial equations ． The system can be recognized as a dual system to the 且 ip−fiOp c 呈 rcuit model ， which Moser et ai examined in details ， and it has been shown 七 hat various nonlinear phenomena such as bi血 rcations ， 丘shhook structures and chaotic behaviors are appeared ． In this paper ， we wnl explore bifurcation of the parallel blower system ；especially ， two dimens正 onal bifurcatioll by using a one dimensional map induced by a Poincare map ． Finally ， employing the one dimellsional map as the third parameter， we will illustrate three dimensional structures appeared