POINCARE LINEAR INTERPOLATED CELL MAPPING - METHOD FOR GLOBAL ANALYSIS OF OSCILLATING-SYSTEMS

A method for global analysis of nonlinear dynamical oscillating system s was developed. The method is based on the idea of introducing a Poin care section into a multidimensional state space of the dynamical syst em and combine it with an interpolation procedure within the cells whi ch constitute the discretized problem domain of interest. The proposed method was applied to study the global behavior of two nonlinear coup led van der Pol oscillators. Significant saving in calculation time, i n comparison with both direct numerical integration and Poincare-like simple cell mapping, is demonstrated.