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An Introduction to Semiflowsby Albert J. Milani
CRC Press 2004; US$ 99.95Semiflows are a class of dynamical systems, meaning that they help to describe how one state develops into another state over the course of time. This work concentrates on surveying existing research in continuous semi-dynamical systems. more...
Three-Dimensional Flowsby Vitor Araujo; M.J. Pacifico; Marcelo Viana
Springer 2010; US$ 189.00In this book, the authors present the elements of a general theory for flows on three-dimensional compact boundaryless manifolds, encompassing flows with equilibria accumulated by regular orbits. The book aims to provide a global perspective of this theory and make it easier for the reader to digest the growing literature on this subject. This is not the first book on the subject of dynamical systems, but there are distinct aspects which together make this book unique. Firstly, this book treats mostly continuous time dynamical systems, instead of its discrete counterpart, exhaustively treated in some other texts. Secondly, this book treats all the subjects from a mathematical perspective with proofs of most of the results included. Thirdly,... more...
Elegant Chaosby Julien Clinton Sprott
World Scientific 2010; US$ 129.00This heavily illustrated book collects in one source most of the mathematically simple systems of differential equations whose solutions are chaotic. It includes the historically important systems of van der Pol, Duffing, Ueda, Lorenz, Rossler, and many others, but it goes on to show that there are many other systems that are simpler and more elegant. Many of these systems have been only recently discovered and are not widely known. Most cases include plots of the attractor and calculations of the spectra of Lyapunov exponents. Some important cases include graphs showing the route to chaos.The book includes many cases not previously published as well as examples of simple electronic circuits that exhibit chaos. No existing book thus far focuses... more...
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