Errors of analysis of parameters of complex oscillation regimes using point sequences of the integrate-and-fire model

The problem of calculation of dynamical parameters of chaotic regimes of self-sustained oscillations using point processes is discussed. The “integrate-and-fire” model is used to exemplify the constraints of the method for attractor reconstruction using a sequence of time intervals between the time instants of pulse generation. The conditions of validity for calculation of the largest Lyapunov exponent and recommendations for the most accurate determination of dynamical parameters for complex oscillatory regimes in dynamical systems reconstruction using point processes are formulated.