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SN~ (~6) lff 2It 3k_~ , 5 ",,x_J {b)

SN~ (~6) lff 2It 3k_~ , 5 ",,x_J {b)

56 Fix(Tj_l)+Fix(Tj).

56 Fix(Tj_l)+Fix(Tj). Their real parts satisfy the inequalities aj

57 Notes: 1) each picture shows projections of the trajectories on the four planes {x0,Y0}, {Xlr,Xli}, {Ylr,Yli}, {Y0,Y2r}, except picture 11 where {Ylr,Yli} was replaced by { Y2r,Y2i } ; 2) the program which solves the 8-dim. ODE (by a Runge-Kutta method) is written in C and the calculations were performed on a SUN station (fig.6-10 at the University of Warwick, fig.11 at the University of TiJbingen). Yo x,[ Xo XI r" Figur~ 6. Limit cycle in Fix(D~): %1 =-0.1, %2--0.03, y =-2, c ---0.06, d =-1, all other coefficients set to 0. The initial condition was taken close to the plane P1 and the picture shows the trajectory converging to the limit cycle.

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