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Ergodic Concepts in Stellar Dynamics

Proceedings of an International Workshop Held at Geneva Observatory University of Geneva, Switzerland, 1–3 March 1993

  • Conference proceedings
  • © 1994

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Editors:
  1. V. G. Gurzadyan
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  2. D. Pfenniger
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Part of the book series: Lecture Notes in Physics (LNP, volume 430)

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Table of contents (39 papers)

  1. Front Matter

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  2. Structural and dynamical forms of elliptical and dwarf galaxies

    • S. Djorgovski
    Pages 3-21

  3. Some clues about the dynamics of globular clusters from high-resolution observation

    • Georges Meylan
    Pages 22-33

  4. Diffusion of stellar orbits in the galactic disk

    • B. Fuchs, C. Dettbarn, R. Wielen
    Pages 34-40

  5. Ergodic methods in stellar dynamics

    • V. G. Gurzadyan
    Pages 41-55

  6. On a notion of weak stability and its relevance for celestial mechanics and molecular dynamics

    • Luigi Galgani, Antonio Giorgilli
    Pages 56-63

  7. Recent developments in the dynamics of nonlinear Hamiltonian systems with many degrees of freedom

    • Marco Pettini
    Pages 64-84

  8. Numerical exploration of the circular billiard with gravity

    • Avram Hayli, Augustin Vidović
    Pages 85-90

  9. Ergodicity and mixing in gravitating systems

    • V. A. Antonov, L. P. Ossipkov
    Pages 91-91

  10. Chaotic itineracy and clustered motion in globally coupled symplectic map system

    • Tetsuro Konishi, Kunihiko Kaneko
    Pages 93-99

  11. Lyapunov analysis of stable chaos in self-gravitating many body systems

    • Naoteru Gouda, Toshio Tsuchiya, Tetsuro Konishi
    Pages 100-104

  12. Stability of the modified Konishi-Kaneko system

    • Shogo Inagaki
    Pages 105-110

  13. Mixing transformations of N particles conserving almost all classical integrals

    • Daniel Pfenniger
    Pages 111-121

  14. Symplectic integration without roundoff error

    • David J. D. Earn
    Pages 122-130

  15. Discreteness noise versus force errors in N-body simulations

    • Junichiro Makino
    Pages 131-134

  16. Core motions and global chaotic oscillations

    • Richard H. Miller
    Pages 135-150

  17. N-body systems: Computer image and reality

    • V. G. Gurzadyan, A. A. Kocharyan
    Pages 151-157

  18. The approach to integrability in N-body systems with a central point mass

    • Haywood Smith Jr., Henry E. Kandrup, M. Elaine Mahon, C. Siopis
    Pages 158-162

  19. On the non-trivial concept of relaxation in N-body systems

    • Piero Cipriani, Giuseppe Pucacco
    Pages 163-169

  20. Gravothermal oscillations

    • Rainer Spurzem
    Pages 170-176
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About this book

Advances in the dynamics of stellar systems have been made recently by applying mathematical methods of ergodic theory and chaotic dynamics, by numerous computer simulations, and by observations with the most powerful telescopes. This has led to a considerable change of our view on stellar systems. These systems appear much more chaotic than was previously thought and subject to various instabilities leading to new paths of evolution than previously thought. The implications are fundamental for our views on the evolution of the galaxies and the universe. Such questions are addressed in this book, especially in the 8 review papers by leading experts on various aspects of the N-body problem, explaining at the graduate/postgraduate level the concepts, methods, techniques and results.

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