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Differentiable dynamical systems

Most popular at the top

  • Handbook of Dynamical Systemsby A. Katok; B. Hasselblatt

    Elsevier Science 2005; US$ 300.00

    This second half of Volume 1 of this Handbook follows Volume 1A, which was published in 2002. The contents of these two tightly integrated parts taken together come close to a realization of the program formulated in the introductory survey ?Principal Structures of Volume 1A. The present volume contains surveys on subjects in four areas of dynamical... more...

  • Handbook of Dynamical Systemsby B. Fiedler

    Elsevier Science 2002; US$ 320.00

    This handbook is volume II in a series collecting mathematical state-of-the-art surveys in the field of dynamical systems. Much of this field has developed from interactions with other areas of science, and this volume shows how concepts of dynamical systems further the understanding of mathematical issues that arise in applications. Although modeling... more...

  • Handbook of Dynamical Systemsby B. Hasselblatt; A. Katok

    Elsevier Science 2002; US$ 285.00

    Volumes 1A and 1B. These volumes give a comprehensive survey of dynamics written by specialists in the various subfields of dynamical systems. The presentation attains coherence through a major introductory survey by the editors that organizes the entire subject, and by ample cross-references between individual surveys. The volumes are a valuable... more...

  • Indra's Pearlsby David Mumford; Caroline Series; David Wright

    Cambridge University Press 2002; US$ 68.00

    This book tells the story of the first computer exploration of Klein's vision of infinitely repeated reflections, featuring extraordinary images. more...

  • Integrable Hamiltonian Systemsby A.V. Bolsinov; A.T. Fomenko

    CRC Press 2004; US$ 172.95

    Integrable Hamiltonian systems have been of growing interest over the past 30 years and represent one of the most intriguing and mysterious classes of dynamical systems. This book explores the topology of integrable systems and the general theory underlying their qualitative properties, singularites, and topological invariants. The authors, both of... more...

  • Introduction to the Perturbation Theory of Hamiltonian Systemsby Dmitry Treschev; Oleg Zubelevich

    Springer Berlin Heidelberg 2009; US$ 149.00

    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...

  • An Introduction to Semiflowsby Albert J. Milani; Norbert J. Koksch

    CRC Press 2004; US$ 154.95

    This book introduces the class of dynamical systems called semiflows, which includes systems defined or modeled by certain types of differential evolution equations (DEEs). It focuses on the basic results of the theory of dynamical systems that can be extended naturally and applied to study the asymptotic behavior of the solutions of DEEs. The authors... more...

  • Invariant Sets for Windowsby A.D. Morozov; Timothy N. Dragunov; Svetlana A. Boykova; Olga V. Malysheva

    World Scientific Publishing Company 1999; US$ 74.00

    This book deals with the visualization and exploration of invariant sets (fractals, strange attractors, resonance structures, patterns etc.) for various kinds of nonlinear dynamical systems. The authors have created a special Windows 95 application called WInSet, which allows one to visualize the invariant sets. A WInSet installation disk is enclosed... more...

  • Iterated Maps on the Interval as Dynamical Systemsby Pierre Collet; J.-P. Eckmann

    Birkhäuser Boston 2009; US$ 89.99

    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...

  • Methods of Qualitative Theory in Nonlinear Dynamics (Part I)by Leonid Shilnikov; Audrey Shilnikov; Dmitry Turaev; Leon O. Chua

    World Scientific Publishing Company 1998; US$ 110.00

    Bifurcation and Chaos has dominated research in nonlinear dynamics for over two decades and numerous introductory and advanced books have been published on this subject. There remains, however, a dire need for a textbook which provides a pedagogically appealing yet rigorous mathematical bridge between these two disparate levels of exposition. This... more...