Attractors and their fractal dimension. 2nd edition, stereotypical. Ilyashenko Yu.S.

The brochure was written based on the materials of the lecture read by the author at the Modern Mathematics Summer School in Dubna in July 2004. It is dedicated to one of the sections of the theory of dynamic systems - the attitudes and their Hausdorfova (fractal) dimension. Various examples of display are considered that generate both strange and classic attractions. As the main example of the strange attrays, the solenoid smade - Williams is considered, an analogy between it and the cantorous perfect set is drawn.

The reader does not require any initial knowledge from the theory of differential equations. The brochure is addressed to senior students and junior students.

The first edition of the book was published in 2005