摘要：In this work we present some qualitative results for a particular type of k-order exchange rate models. These results concern the existence of the fixed point, it’s stability and it’s attraction domain and the existence of the period-two cycles. Given the nonlinear nature, these systems can display a more complex evolution (chaotic behavior, period doubling-bifurcation, limit cycle and period-p cycle with p>2). For k=2 and k=3 we have presented in [4] -[7] mathematical and numerical results. The present work objective is to generalize the results obtained for the second-order dynamical system and the third-order dynamical system. The algorithms implementation must to be make for more value of k and this is practical very difficult (specially for chaotic behavior study) and in the numerical simulations the initial conditions values and parameters are constants. For this reason, now, we present only mathematical results. However, our study conduces to interesting similarities between the dynamics of this type models.
