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Differentiable dynamical systems

Most popular at the top

  • Fractal Geometryby Kenneth Falconer

    Wiley 2013; US$ 62.00

    The seminal text on fractal geometry for students and researchers: extensively revised and updated with new material, notes and references that reflect recent directions. Interest in fractal geometry continues to grow rapidly, both as a subject that is fascinating in its own right and as a concept that is central to many areas of mathematics,... more...

  • Discrete Chaos, Second Editionby Saber N. Elaydi

    CRC Press 2007; US$ 99.99

    PREFACE FOREWORD The Stability of One-Dimensional Maps Introduction Maps vs. Difference Equations Maps vs. Differential Equations Linear Maps/Difference Equations Fixed (Equilibrium) Points Graphical Iteration and Stability Criteria for Stability Periodic Points and Their Stability The Period-Doubling Route to Chaos... more...

  • Fractal Geometryby J M Blackledge; A K Evans; M J Turner

    Elsevier Science 2002; US$ 97.95

    International authorities from Canada, Denmark, England, Germany, Russia and South Africa focus on research on fractal geometry and the best practices in software, theoretical mathematical algorithms, and analysis. They address the rich panoply of manifold applications of fractal geometry available for study and research in science and industry: i.e.,... more...

  • Dynamical Systemsby A. R. Bednarek; L. Cesari

    Elsevier Science 2014; US$ 93.95

    Dynamical Systems compiles the lectures and contributed papers read at the International Symposium on Dynamical Systems held at the University of Florida in Gainesville, Florida on March 24-26, 1976. This book discusses the principle of exchange of stability; weak-invariance and rest points in control systems; local controllability in nonlinear systems;... more...

  • New Methods for Chaotic Dynamicsby Nikolai Alexandrovich Magnitskii; Sergey Vasilevich Sidorov

    World Scientific Publishing Company 2006; US$ 153.00

    This book presents a new theory on the transition to dynamical chaos for two-dimensional nonautonomous, and three-dimensional, many-dimensional and infinitely-dimensional autonomous nonlinear dissipative systems of differential equations including nonlinear partial differential equations and differential equations with delay arguments. The transition... more...

  • Chaotic Transitions in Deterministic and Stochastic Dynamical Systems: Applications of Melnikov Processes in Engineering, Physics, and Neuroscienceby Emil Simiu

    Princeton University Press 2014; US$ 46.95

    The classical Melnikov method provides information on the behavior of deterministic planar systems that may exhibit transitions, i.e. escapes from and captures into preferred regions of phase space. This book develops a unified treatment of deterministic and stochastic systems that extends the applicability of the Melnikov method to physically realizable... more...

  • Introduction to Modern Dynamics: Chaos, Networks, Space and Timeby David D. Nolte

    Oxford University Press 2014; US$ 52.99

    The best parts of physics are the last topics that our students ever see. These are the exciting new frontiers of nonlinear and complex systems that are at the forefront of university research and are the basis of many high-tech businesses. Topics such as traffic on the World Wide Web, the spread of epidemics through globally-mobile populations, or... 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...

  • Elements of Differentiable Dynamics and Bifurcation Theoryby David Ruelle

    Elsevier Science 2014; US$ 31.95

    Elements of Differentiable Dynamics and Bifurcation Theory provides an introduction to differentiable dynamics, with emphasis on bifurcation theory and hyperbolicity that is essential for the understanding of complicated time evolutions occurring in nature. This book discusses the differentiable dynamics, vector fields, fixed points and periodic orbits,... more...