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Differentiable dynamical systems

Most popular at the top

  • Fractals and Universal Spaces in Dimension Theoryby Stephen Lipscomb

    Springer 2009; US$ 79.95

    Historically, for metric spaces the quest for universal spaces in dimension theory spanned approximately a century of mathematical research. The history breaks naturally into two periods - the classical (separable metric) and the modern (not-necessarily separable metric). This book unifies the modern theory from 1960-2007. more...

  • Iterated Maps on the Interval as Dynamical Systemsby Pierre Collet; Jean-Pierre Eckmann

    Springer 2009; US$ 59.95

    Iterations of continuous maps of an interval to itself serve as the simplest examples of models for dynamical systems. These models present an interesting mathematical structure going far beyond the simple equilibrium solutions one might expect. If, in addition, the dynamical system depends on an experimentally controllable parameter, there is a corresponding... more...

  • Three-Dimensional Flowsby Vitor Araujo; M.J. Pacifico; Marcelo Viana

    Springer 2010; US$ 69.99

    In 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... more...

  • Principles of Discontinuous Dynamical Systemsby Marat Akhmet

    Springer 2010; US$ 79.99

    Discontinuous dynamical systems have played an important role in both theory and applications during the last several decades. This is still an area of active research and techniques to make the applications more effective are an ongoing topic of interest. "Principles of Discontinuous Dynamical Systems" is devoted to the theory of differential... more...

  • The Colours of Infinityby Nigel Lesmoir-Gordon

    Springer 2010; US$ 47.99

    The groundbreaking documentary (accompanying this book), introduced by Arthur C. Clarke, has been shown in over 50 countries around the world. Twenty five years ago it brought the subject of fractals to the attention of the general public for the first time. The contributors to the film are joined in this comprehensive survey of fractal theory and... more...

  • Handbook of Dynamical Systemsby H. Broer; F. Takens; B. Hasselblatt

    Elsevier Science 2010; US$ 245.00

    In this volume, the authors present a collection of surveys on various aspects of the theory of bifurcations of differentiable dynamical systems and related topics. By selecting these subjects, they focus on those developments from which research will be active in the coming years. The surveys are intended to educate the reader on the recent literature... more...

  • Introduction to Discrete Dynamical Systems and Chaosby Mario Martelli

    Wiley 2011; US$ 180.00

    A timely, accessible introduction to the mathematics of chaos. The past three decades have seen dramatic developments in the theory of dynamical systems, particularly regarding the exploration of chaotic behavior. Complex patterns of even simple processes arising in biology, chemistry, physics, engineering, economics, and a host of other disciplines... more...

  • Discrete Dynamics and Difference Equationsby Saber N. Elaydi; Henrique Oliveira; Jose Manuel Ferreira

    World Scientific Publishing Company 2010; US$ 173.00

    This volume holds a collection of articles based on the talks presented at ICDEA 2007 in Lisbon, Portugal. The volume encompasses current topics on stability and bifurcation, chaos, mathematical biology, iteration theory, nonautonomous systems, and stochastic dynamical systems. more...

  • Elegant Chaosby Julien Clinton Sprott

    World Scientific Publishing Company 2010; US$ 129.00

    This 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.... more...

  • Introduction to Differential Equations with Dynamical Systemsby Stephen L. Campbell; Richard Haberman

    Princeton University Press 2011; US$ 110.00

    Many textbooks on differential equations are written to be interesting to the teacher rather than the student. Introduction to Differential Equations with Dynamical Systems is directed toward students. This concise and up-to-date textbook addresses the challenges that undergraduate mathematics, engineering, and science students experience during... more...