Download or read book Stability of Critical Equilibrium States written by Leonid Grigorʹevich Khazin and published by Manchester University Press. This book was released on 1991 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examines the stability of equilibrium states in nonlinear ordinary differential equations, specifically in cases where a linear approximation is insufficient to determine whether the equilibrium is stable or not. Beginning with a basic introduction, it will be useful to researchers, scientists & engineers working in applications without a background in nonlinear analysis. The latter part is directed at mathematicians & specialists in mechanics interested in the general theory of stability of motion & the problems of nonlinear analysis. Features an extensive discussion of all twenty of the critical & near- critical cases for systems of low co-dimensions & an examination of the stability of equilibrium states of Hamiltonian systems.