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Differentiable dynamical systems

  • Further Developments in Fractals and Related Fieldsby

    Birkhäuser Boston 2013; US$ 99.00

    This volume, following in the tradition of a similar 2010 publication by the same editors, is an outgrowth of an international conference, ?Fractals and Related Fields II,? held in June 2011. The book provides readers with an overview of developments in the mathematical fields related to fractals, including original research contributions as well... more...

  • Analytic and Probabilistic Approaches to Dynamics in Negative Curvatureby

    Springer International Publishing 2014; US$ 109.00

    The work consists of two introductory courses, developing different points of view on the study of the asymptotic behaviour of the geodesic flow, namely: the probabilistic approach via martingales and mixing (by Stéphane Le Borgne); the semi-classical approach, by operator theory and resonances (by Frédéric Faure and Masato Tsujii). The contributions... more...

  • Fractal Dimensions for Poincare Recurrencesby Valentin Afraimovich; Edgardo Ugalde; Jesus Urias

    Elsevier Science 2006; US$ 200.00

    This book is devoted to an important branch of the dynamical systems theory : the study of the fine (fractal) structure of Poincare recurrences -instants of time when the system almost repeats its initial state. The authors were able to write an entirely self-contained text including many insights and examples, as well as providing complete details... more...

  • Principles of Discontinuous Dynamical Systemsby Marat Akhmet

    Springer New York 2010; US$ 139.00

    Devoted to the theory of variable moment impulse differential equations, this volume sets out a new way of equalizing systems whose solutions have prescribed impulse moments It shows how to use special topologies in spaces of piecewise continuous functions. 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...

  • Three-Dimensional Flowsby Vítor Araújo; Maria José Pacifico; Marcelo Viana

    Springer Berlin Heidelberg 2010; US$ 89.95

    Offering the first comprehensive treatment of this subject in book form, this volume presents the elements of a general theory for flows on three-dimensional compact boundaryless manifolds, encompassing flows with equilibria accumulated by regular orbits. more...

  • Ergodic Theory and Dynamical Systemsby Idris Assani

    De Gruyter 2014; US$ 140.00

    This is the proceedings of theworkshop on recent developments in ergodic theory and dynamical systemson March 2011and March 2012 at the University of North Carolina at Chapel Hill. Thearticles in this volume cover several aspects of vibrant research in ergodic theory and dynamical systems. It contains contributions to Teichmuller dynamics,... more...

  • Fractals, Wavelets, and their Applicationsby Christoph Bandt; Michael Barnsley; Robert Devaney; Kenneth J. Falconer; V. Kannan; VINOD KUMAR

    Springer International Publishing 2014; US$ 169.00

    Fractals and wavelets are emerging areas of mathematics with many common factors which can be used to develop new technologies. This volume contains the selected contributions from the lectures and plenary and invited talks given at the International Workshop and Conference on Fractals and Wavelets held at Rajagiri School of Engineering and Technology,... more...

  • Fractals Everywhereby Michael F. Barnsley

    Elsevier Science 2014; US$ 93.95

    Fractals Everywhere, Second Edition covers the fundamental approach to fractal geometry through iterated function systems. This 10-chapter text is based on a course called "Fractal Geometry", which has been taught in the School of Mathematics at the Georgia Institute of Technology. After a brief introduction to the subject, this book goes on dealing... more...

  • The Desktop Fractal Design Handbookby Michael F. Barnsley

    Elsevier Science 2014; US$ 31.95

    The Desktop Fractal Design Handbook is a four-chapter introductory text to fractal geometry. The underlying algorithms are derived from mathematics, which is reflected in the images they produce. Chapter 1 provides an overview of the products of the desktop fractal design system. Chapter 2 describes the installation and operation of hardware and operating... more...