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Abstract
Systemic analysis shows that the East Asian "tigers" and "dragons" frequently mentioned in the press, if only because their numbers are small, are most likely exceptions to the overall socioeconomic picture of the world. Such islands of order in the ocean of world chaos are called attractors. The development of processes in the nonlinear environment in which attractors are present and new ones are appearing relatively rapidly usually leads to the appearance of the so-called strange attractor when the number of isolated attractors becomes sufficiently large for them to form a wide, closed-in area. It is well known that during this process their number increases in response to the operation of a bifurcation mechanism.