Chaotic phenomena on a coupled nonlinear oscillator based on the rollins-hunt's model

Based on the Rollins-Hunt's model, chaotic phenomena in a driven coupled R-L-diode oscillator are examined numerically. It is found that a straightforward extension of this model to a system with two degrees of freedom is valid as far as the quasiperiodic route to chaos is concerned. However, this model is not sufficient to explain the intermittency and the quasiperiodic routes including the discontinuous (jump) bifurcations with hysteresis. Then it is shown that the additional nonlinearity due to variable capacitance of the diode is effective to explain the above phenomena. It is also shown that a two-dimensional discrete return map in which nonlinear terms are introduced in a characteristic form simulates systematically the numerical results. In particular, this map model can explain effectively the mechanisms which cause the intermittency and the cliscontinuous bifurcation.