V.P. Korotky

Search of a mode of the determined chaos in nonlinear dissipative oscillatory systems demands some efforts at carrying out of natural or numerical experiments and for the present cannot be predicted theoretically. For object of research the contour (the Duffing-s Equation which approaches for its description) is accepted. For revealing of the determined chaos in oscillatory systems usually build Poincare's display. If dissipation in a contour it is not too great, or it is not excessively small, Poincare's display is localised, representing bent fractal structure (strange attractor). At very weak dissipation Poincare's display fills extensive area of phase space in the form of a shapeless cloud of points, without finding out structure. Occurrence fractal structures is connected with chaotic behaviour dissipation systems, transforms it into active object, showing self-organising processes. Existence strange аттрактора is considered one of experimental criteria of dynamic chaos. For revealing of the reasons of chaos and strange attractors following consideration is offered. The equation of Duffing (an oscillatory contour with nonlinear inductance) is written down in a kind where the parametrical effect, indemnifications dissipation contour losses, at the expense of entering into it of negative conductivity is obviously looked through. It is shown that the chaos in a contour keeps occurrence in it of an order (synchronisation), in the form of synchronising zero values of pressure on a contour and zero values of equivalent conductivity of a contour. By substitutions and variable replacement the dimensionless equation of Duffing will be transformed to a kind showing dependence of frequency and amplitude of a current of excitation of a contour from its factor, making sense good qualities. Adhering to this dependence it is possible to receive uncountable set of displays of Poincare showing fractal structure attractor (existence of the determined chaos in a contour). The received transformation reveals difficulties of revealing strange attractor in natural experiment that change of character of a curve of magnetic reversal of the core of the coil of inductance is connected with existence at transformation of dependence attracting and generally.