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Differentiable dynamical systems

Most popular at the top

  • Fractal Geometry, Complex Dimensions and Zeta Functionsby Michel L. Lapidus; Machiel Frankenhuijsen

    Springer 2007; US$ 89.95

    Offers a study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary. This book interlinks number theory, spectral geometry, and fractal geometry. It gives the Riemann hypothesis a natural geometric reformulation in the context of vibrating fractal strings. It includes theorems, examples and illustrations. more...

  • Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanicsby Marco Pettini

    Springer 2007; US$ 119.00

    Explores the foundations of hamiltonian dynamical systems and statistical mechanics, in particular phase transitions, from the point of view of geometry and topology. This book provides an overview of the research in the area. Using geometrical thinking to solve fundamental problems in these areas could be highly productive. more...

  • Discrete Dynamical Systemsby Oded Galor

    Springer 2007; US$ 59.99

    Provides an introduction to the analysis of discrete dynamical systems. This book analyzes the factors that govern the quantitative and qualitative behavior of discrete dynamical systems, providing solution methods for systems that can be solved analytically and methods of qualitative analysis for systems that do not permit explicit solutions. more...

  • Topological Theory of Dynamical Systemsby N. Aoki; K. Hiraide

    Elsevier Science 1994; US$ 72.95

    This monograph aims to provide an advanced account of some aspects of dynamical systems in the framework of general topology, and is intended for use by interested graduate students and working mathematicians. Although some of the topics discussed are relatively new, others are not: this book is not a collection of research papers, but a textbook to... more...

  • Singularities & Dynamical Systemsby S.N. Pnevmatikos

    Elsevier Science 1985; US$ 72.95

    This volume is an account of the lectures delivered at the international Conference ``Singularities and Dynamical Systems-83''. The main purpose of the Conference was to create conditions of scientific contact between mathematicians and physicists who have singularities and dynamical systems as common interests. more...

  • Dimension and Recurrence in Hyperbolic Dynamicsby J. Oesterlé; A. Weinstein

    Springer 2008; US$ 99.00

    The main objective of this book is to give a broad unified introduction to the study of dimension and recurrence in hyperbolic dynamics. It includes the discussion of the foundations, main results, and main techniques in the rich interplay of four main areas of research: hyperbolic dynamics, dimension theory, multifractal analysis, and quantitative... more...

  • Fractals and Universal Spaces in Dimension Theoryby Stephen Lipscomb

    Springer 2009; US$ 119.00

    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$ 69.95

    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$ 89.95

    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...

  • The Colours of Infinityby Nigel Lesmoir-Gordon

    Springer 2010; US$ 59.95

    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...