From the reviews: "This book is concerned with the application of methods from dynamical systems and bifurcation theories to the study of nonlinear oscillations. Chapter 1 provides a review of basic results in the theory of dynamical systems, covering both ordinary differential equations and discrete mappings. Chapter 2 presents 4 examples from nonlinear oscillations. Chapter 3 contains a discussion of the methods of local bifurcation theory for flows and maps, including center manifolds and normal forms. Chapter 4 develops analytical methods of averaging and perturbation theory....
From the reviews: "This book is concerned with the application of methods from dynamical systems and bifurcation theories to the study of nonl...
Celestial Encounters is for anyone who has ever wondered about the foundations of chaos. In 1888, the 34-year-old Henri Poincare submitted a paper that was to change the course of science, but not before it underwent significant changes itself. "The Three-Body Problem and the Equations of Dynamics" won a prize sponsored by King Oscar II of Sweden and Norway and the journal Acta Mathematica, but after accepting the prize, Poincare found a serious mistake in his work. While correcting it, he discovered the phenomenon of chaos.
Starting with the story of...
Celestial Encounters is for anyone who has ever wondered about the foundations of chaos. In 1888, the 34-year-old Henri Poincare submit...
This work presents a fresh and accessible description of the language, concentrating on the real patterns of use in modern Danish. The volume is organized to promote a thorough understanding of Danish grammar.
This work presents a fresh and accessible description of the language, concentrating on the real patterns of use in modern Danish. The volume is organ...
This reference guide to Swedish grammar has been updated to reflect Swedish as it is employed today in educated everyday use. A chapter on word formation has also been included to reflect changes in a few areas of usage.
This reference guide to Swedish grammar has been updated to reflect Swedish as it is employed today in educated everyday use. A chapter on word format...
An application of the techniques of dynamical systems and bifurcation theories to the study of nonlinear oscillations. Taking their cue from Poincare, the authors stress the geometrical and topological properties of solutions of differential equations and iterated maps. Numerous exercises, some of which require nontrivial algebraic manipulations and computer work, convey the important analytical underpinnings of problems in dynamical systems and help readers develop an intuitive feel for the properties involved.
An application of the techniques of dynamical systems and bifurcation theories to the study of nonlinear oscillations. Taking their cue from Poincare,...
