Poyavlenie periodicheskih reshenij iz sostoyaniya ravnovesiya

The book "Appearance of Periodic Solutions from Equilibrium States" addresses the complex topics of bifurcation and the stability of equilibrium states in dynamic systems described by differential equations. It particularly focuses on the bifurcation of equilibrium states of the focus type, where periodic cycles emerge or disappear. The subject is historically rooted and traces back to the work of the renowned mathematician Henri Poincaré, who made significant contributions to this field in the late 19th century. The author, a graduate of the mathematics faculty of Herzen State Pedagogical University, reflects in this work on his studies and the fascination that this scientific discipline has exerted on him. The book is aimed at readers seeking a deeper understanding of mathematical concepts and their applications in the natural sciences.