document: Dynamical transition to periodic motions of a recurrent bus induced by nonstops We study the dynamical behavior of a recurrent bus on a circular route with many bus stops when the recurrent bus passes some bus stops without stopping . The recurrent time -LRB- one period -RRB- is described in terms of a nonlinear map . It is shown that the recurrent bus exhibits the complex periodic behaviors . The dynamical transitions to periodic motions occur by increasing nonstops . The periodic motions depend on the property of an attractor of the nonlinear map . The period n of the attractor varies sensitively with the number of nonstops
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