exd10

Variables and main parameters:
*y*_{1},*y*_{3}, *y*_{5}: lateral displacement of front axle, rear axle, bogie frame

*y*_{2},*y*_{4}, *y*_{6}:yaw displacement of front axle, rear axle, bogie frame

*y*_{7}: rolling displacement of bogie frame

*v*: speed of train (bifurcation parameter)

Figure 1

A railway bogie with two axles, schematically

Figure 2

attracting periodic orbit for *v*=70, *y*_{5}(*t*) for
,
initial vector
*y*_{1}(0)=0.1, *y*_{i}(0)=0 for

Figure 3

transient phase close to the attracting stationary state for *v*=60, *y*_{5}(*t*) for
,
initial vector
*y*_{1}(0)=0.1, *y*_{i}(0)=0 for

Figure 1

Figure 2

Figure 3