Books.org participates in affiliate programs including Bookshop.org and the Amazon Services LLC Associates Program. We may earn a commission from qualifying purchases made through links on this page, at no additional cost to you.
Synopsis
Several distinctive aspects make Dynamical Systems unique, including:
The book treats the dynamics of both iteration of functions and solutions of ordinary differential equations. Many concepts are first introduced for iteration of functions where the geometry is simpler, but results are interpreted for differential equations. The dynamical systems approach of the book concentrates on properties of the whole system or subsets of the system rather than individual solutions. The more local theory discussed deals with characterizing types of solutions under various hypothesis, and later chapters address more global aspects.
Booknews
New edition of a graduate textbook whose main topic is the dynamics induced by iteration of a function or by the solutions of ordinary differential equations. This edition features a revised discussion of the saddle node bifurcation, a new section on the horseshoe for a flow with a transverse homoclinic point, information proving the ergodicity of a hyperbolic toral automorphism, and a new chapter on Hamiltonian systems. The focus is on multidimensional systems of real variables. Annotation c. by Book News, Inc., Portland, Or.