Model of Excitation of Chaotic Fluctuations in Oscillatory system with dissipation

The mathematical model of excitement of oscillator with dissipation of energy of general form is considered. The received analytical expression in an explicit form describes changes of amplitude and the phases of a signal brought by an exciting signal. The signal of excitement of oscillator is modulated by periodic sequence of rectangular impulses and restriction of square-law integratability is imposed on it. Finite-difference approximation of the offered model by a method of state variables is constructed and the method of generation of chaotic sequences with fractal properties created on its basis. Results of numerical modelling of chaotic sequences with fractional value of the fractal dimensionality calculated by a method of correlative integral are given. The type of the attractors constructed on the basis of finite-difference approximation of received model is given, and it is shown that by change of parameters of model there is possible to receive chaotic sequences with fractal properties.