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Dynamical Systems

Dynamical Systems

$228.00 (X)

A. Fathi, J.C. Yoccoz, Michael Robert Herman, Jon Aaronson, Benjamin Weiss, C. Bonnati, M. Viana, Jean Bourgain, Marc Chaperon, Gonzalo Contreras, Fernando Oliveira, R. De La Lave, E. I. Dinaburg, Ya G. Sinai, M. Farber, T. Kappeler, J. Latschev, E. Zehnder, Bassam Fayad, Anatole Katok, Jacques Féjoz, Laurent Kaczmarek, Jean-Marc Gambaudo, Étienne Ghys, Jean-Pierre Marco, David Sauzin, John N. Mather, Sheldon E. Newhouse, Carsten Lunde Petersen, G. Popov, Helmut Rüssmann, Laurent Stolovitch
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  • Date Published: March 2006
  • availability: In stock
  • format: Hardback
  • isbn: 9780521860680

$ 228.00 (X)
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About the Authors
  • Michael Robert Herman had a profound impact on the theory of dynamical systems over the last 30 years. His seminar at the École Polytechnique had major worldwide influence and was the main vector in the development of the theory of dynamical systems in France. His interests covered most aspects of the subject though closest to his heart were the so-called small divisors problems, in particular those related to the stability of quasiperiodic motions. This volume aims to reflect the depth and variety of these interests and the frontier of present research; a frontier shaped decisively by Michael Herman's contributions.

    • Review of the important work of Michael Robert Herman
    • Up-to date and classic papers presented in context
    • Covers a broad range of topics
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    Reviews & endorsements

    'Michael Robert Herman had a profound impact on the theory of dynamical systems over the last 30 years. This volume aims to reflect the depth and variety of these interests and the frontier of present research.' L'enseignement mathematique

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    Product details

    • Date Published: March 2006
    • format: Hardback
    • isbn: 9780521860680
    • length: 602 pages
    • dimensions: 254 x 180 x 34 mm
    • weight: 1.178kg
    • contains: 71 b/w illus.
    • availability: In stock
  • Table of Contents

    1. Michael Robert Herman, 1942–2000 A. Fathi and J. C. Yoccoz
    2. L2 regularity of measurable solutions of a finite-difference equation of the circle Michael Robert Herman
    3. On Herman's theorem for ergodic, amenable group extensions of endomorphisms Jon Aaronson and Benjamin Weiss
    4. Lyapunov exponents with multiplicity 1 for deterministic products of matrices C. Bonnati and M. Viana
    5. Remarks on stability and diffusion in high-dimensional Hamiltonian systems and partial differential equations Jean Bourgain
    6. Stable manifolds and the Perron–Irwin method Marc Chaperon
    7. C2 densely the 2-sphere has an elliptic closed geodesic Gonzalo Contreras and Fernando Oliveira
    8. Further rigidity properties of conformal Anosov systems R. De La Lave
    9. On some approximation of the 3D Euler system E. I. Dinaburg and Ya G. Sinai
    10. Lyapunov 1-forms for flows M. Farber, T. Kappeler, J. Latschev and E. Zehnder
    11. Constructions in elliptic dynamics Bassam Fayad and Anatole Katok
    12. Démonstration du 'théorème d'Arnold' sur la stabilité du système planétaire (d'après Herman) Jacques Féjoz
    13. Sur le théorème de Bertrand (d'après Michael Herman) Jacques Féjoz and Laurent Kaczmarek
    14. Commutators and diffeomorphisms of surfaces Jean-Marc Gambaudo and Étienne Ghys
    15. Wandering domains and random walks in Gevrey near-integrable systems Jean-Pierre Marco and David Sauzin
    16. Examples of Aubry sets John N. Mather
    17. New phenomena associated with homoclinic tangencies Sheldon E. Newhouse
    18. On holomorphic critical quasi-circle maps Carsten Lunde Petersen
    19. KAM theorem for Gevrey Hamiltonians G. Popov
    20. Convergent transformations into a normal form in analytic Hamiltonian systems with two degrees of freedom on the zero energy surface near degenerate elliptic singularities Helmut Rüssmann
    21. Sur les structures de Poisson singulières Laurent Stolovitch.

  • Editors

    Albert Fathi, Ecole Normale Supérieure, Lyon

    J.-C. Yoccoz, Collège de France, Paris

    Contributors

    A. Fathi, J.C. Yoccoz, Michael Robert Herman, Jon Aaronson, Benjamin Weiss, C. Bonnati, M. Viana, Jean Bourgain, Marc Chaperon, Gonzalo Contreras, Fernando Oliveira, R. De La Lave, E. I. Dinaburg, Ya G. Sinai, M. Farber, T. Kappeler, J. Latschev, E. Zehnder, Bassam Fayad, Anatole Katok, Jacques Féjoz, Laurent Kaczmarek, Jean-Marc Gambaudo, Étienne Ghys, Jean-Pierre Marco, David Sauzin, John N. Mather, Sheldon E. Newhouse, Carsten Lunde Petersen, G. Popov, Helmut Rüssmann, Laurent Stolovitch

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