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Differentiable dynamical systems

  • Chaotic Evolution and Strange Attractorsby D. Ruelle

    Cambridge University Press 1989; US$ 26.00

    This book, based on lectures given at the Accademia dei Lincei, is an accessible and leisurely account of systems that display a chaotic time evolution. This behaviour, though deterministic, has features more characteristic of stochastic systems. The analysis here is based on a statistical technique known as time series analysis and so avoids complex... 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...

  • Complex and Adaptive Dynamical Systemsby Claudius Gros

    Springer 2013; US$ 59.95

    Complex system theory is rapidly developing and gaining importance, providing tools and concepts central to our modern understanding of emergent phenomena. This primer offers an introduction to this area together with detailed coverage of the mathematics involved.All calculations are presented step by step and are straightforward to follow. This new... more...

  • Computability of Julia Setsby Mark Braverman; Michael Yampolsky

    Springer 2009; US$ 79.99

    Among all computer-generated mathematical images, Julia sets of rational maps occupy one of the most prominent positions. This book summarizes the knowledge about the computational properties of Julia sets in a self-contained way. It is suitable for experts and students with interest in theoretical computer science or dynamical systems. more...

  • Differential Equations, Dynamical Systems, and an Introduction to Chaosby Stephen Smale; Morris W. Hirsch; Robert L. Devaney

    Elsevier Science 2003; US$ 109.00

    Thirty years in the making, this revised text by three of the world's leading mathematicians covers the dynamical aspects of ordinary differential equations. it explores the relations between dynamical systems and certain fields outside pure mathematics, and has become the standard textbook for graduate courses in this area. The Second Edition now... more...

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

    Springer 2008; US$ 79.95

    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...

  • Discrete Dynamical Systemsby Oded Galor

    Springer 2007; US$ 39.99

    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...

  • 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...

  • Dynamical Systemsby Albert C.J. Luo

    Springer 2010; US$ 199.99

    Dynamical Systems: Discontinuous, Stochasticity and Time-Delay provides an overview of the most recent developments in nonlinear dynamics, vibration and control. This book focuses on the most recent advances in all three areas, with particular emphasis on recent analytical, numerical and experimental research and its results. Real dynamical system... more...