Wada Basins Colourings and Ergodicity

The stable Birkhoff curve ergodic properties in dissipative situation have been discussed. The points of every regions have been coloured with their own colour, such that their common boundary would turns out to be white at the colours adding together. Quantitative conditions for colouring regions for boundary discolouration have been obtained. The prime example of the dynamic system action with fixed B- saddle and Birkhoff curve being four regions common boundary has been constructed. There subsist the Birkhoff curves different topologic types. For every Birkhoff curves can constructed to be two or more vortex streets with periodic structure.The regions colouring turns out to be the topological classification instrument.