The purpose of this book is to provide students, practicing engineers and scientists with a treatment of nonlinear phenomena occurring in physical systems. Although only mechanical models are used, the theory applies to all physical systems governed by the same equations, so that the book can be used to study nonlinear phenomena in other branches of engineering, such as electrical engineering and aerospace engineering, as well as in physics. The book consists of two volumes. Volume I is concerned with single- degree-of-freedom systems and it presents the fundamental concepts of nonlinear...
The purpose of this book is to provide students, practicing engineers and scientists with a treatment of nonlinear phenomena occurring in physical sys...
Wanda Szemplinska-Stupnicka Gerard Iooss Francis C. Moon
Discoveries of chaotic, unpredictable behaviour in physical deterministic systems has brought about new analytic and experimental techniques in dynamics. The modern study of the new phenomena requires the analyst to become familiar with experiments (at least with numerical ones), since chaotic solutions cannot be written down, and it requires the experimenter to master the new concepts of the theory of nonlinear dynamical systems. This book is unique in that it presents both viewpoints: the viewpoint of the analyst and of the experimenter. In the first part F. Moon outlines the new...
Discoveries of chaotic, unpredictable behaviour in physical deterministic systems has brought about new analytic and experimental techniques in dynami...
W. Szemplinska-Stupnicka H. Troger Wanda Szemplinska-Stupnicka
The treatment of chaotic dynamics in mathematics and physics during last two decades has led to a number of new concepts for the investigation of complex behavior in nonlinear dynamical processes. The aim the CISM course Engineering Applications of Dynamics of Chaos of which this is the proceedings volume was to make these concepts available to engineers and applied scientists possessing only such modest knowledges in mathematics which are usual for engineers, for example graduating from a Technical University. The contents of the articles contributed by leading experts in this...
The treatment of chaotic dynamics in mathematics and physics during last two decades has led to a number of new concepts for the investigation of comp...
The first volume addresses the fundamental concepts used in the treatment of single-degree-of-freedom systems. Subjects covered include the mathematical model of the system, stability of motion, and the principal approximate analytical methods used to describe both harmonic and non-harmonic oscillat
The first volume addresses the fundamental concepts used in the treatment of single-degree-of-freedom systems. Subjects covered include the mathematic...
A short monograph that, owing to geometric interpretation complete with computer colour graphics, makes it easy to understand even very complex advanced concepts of chaotic dynamics.
A short monograph that, owing to geometric interpretation complete with computer colour graphics, makes it easy to understand even very complex advanc...
