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Differentiable dynamical systems

Most popular at the top

  • Computability of Julia Setsby Mark Braverman; Michael Yampolsky

    Springer 2009; US$ 99.00

    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...

  • A Random Walk Through Fractal Dimensionsby Brian H. Kaye

    Wiley 2008; US$ 73.95

    Fractal geometry is revolutionizing the descriptive mathematics of applied materials systems. Rather than presenting a mathematical treatise, Brian Kaye demonstrates the power of fractal geometry in describing materials ranging from Swiss cheese to pyrolytic graphite. Written from a practical point of view, the author assiduously avoids the use of... more...

  • Nonnegative and Compartmental Dynamical Systemsby Wassim M. Haddad; VijaySekhar Chellaboina; Qing Hui

    Princeton University Press 2010; US$ 105.00

    This comprehensive book provides the first unified framework for stability and dissipativity analysis and control design for nonnegative and compartmental dynamical systems, which play a key role in a wide range of fields, including engineering, thermal sciences, biology, ecology, economics, genetics, chemistry, medicine, and sociology. Using the... more...

  • Introduction to the Perturbation Theory of Hamiltonian Systemsby Dmitry Treschev

    Springer 2009; US$ 129.00

    This book presents the basic methods of regular perturbation theory of Hamiltonian systems, including KAM-theory, splitting of asymptotic manifolds, the separatrix map, averaging, anti-integrable limit, etc. in a readable way. Despite its small size, it discusses all main aspects of the basic modern theory of perturbed Hamiltonian systems and most... more...

  • Dynamical Systemsby Albert C.J. Luo

    Springer 2010; US$ 289.00

    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...

  • Recent Developments in Fractals and Related Fieldsby Julien Barral; Stephane Seuret

    Springer 2010; US$ 189.00

    This book - an outgrowth of an international conference held in honor of Jacques Peyriere - provides readers with an overview of recent developments in the mathematical fields related to fractals. Included are original research contributions as well as surveys written by experts in their respective fields. The chapters are thematically organized into... more...

  • A First Course In Chaotic Dynamical Systemsby Robert L. Devaney

    Westview Press 1992; US$ 73.00

    This is the first book to introduce modern topics in dynamical systems at the undergraduate level. Accessible to readers with only a background in calculus, the book integrates both theory and computer experiments into its coverage of contemporary ideas in dynamics. It is designed as a gradual introduction to the basic mathematical ideas behind such... more...

  • The Topology of Chaosby Robert Gilmore; Marc Lefranc

    Wiley 2012; US$ 137.00

    A highly valued resource for those who wish to move from the introductory and preliminary understandings and the measurement of chaotic behavior to a more sophisticated and precise understanding of chaotic systems. The authors provide a deep understanding of the structure of strange attractors, how they are classified, and how the information required... more...

  • Further Developments in Fractals and Related Fieldsby Julien Barral; Stéphane Seuret

    Springer 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... more...

  • An Introduction To Chaotic Dynamical Systemsby Robert Devaney

    Westview Press 2008; US$ 54.00

    Robert L. Devaney introduces many of the basic concepts of modern dynamical systems theory and leads the reader to the point of current research in several areas. more...