The study of dynamical systems is of significant practical importance. We investigate here the concept of the safe basin and the use of the amplitude/frequency of forcing parameters plane which can be applied to a wide range of dynamical systems including control applications. A computer aided study of the performance of such systems using Matlab/Simulink with a Watcom C/C++ compiler is illustrated.
The technique is easy to use and is only limited by the properties of the Matlab/Simulink programme in which the system is simulated. The behaviour of a pressure transducer is used as a simple example; as a further example the stab ility and robustness of a practical control strategy, designed to control chaotic behaviour, has also been investigated.