5 Conclusions

This paper proposed a calculation method to obtain the location of the fixed point in given nonlinear discrete system when the argument of complex multipliers is specified. We calculated several isoclines corresponding to the special value of arguments, then the stability and instantaneous phase around the fixed point has been clarified. As an application, we also proposed a new calculation method of NS bifurcation parameter values with specified argument. In addition, cross points of a cusp in a periodic entrainment region and the NS bifurcation curve has been identified by this application. The authors would like to thank Ms. Miyazaki for her contribution to numerical experimental results.