Concepedia

Hamiltonian Systems

Hamiltonian Systems is a class of dynamical systems characterized by the preservation of a symplectic structure and governed by a Hamiltonian function that determines the system's time evolution through Hamilton's equations.

12.2K

Publications

634.7K

Citations

12.3K

Authors

2.8K

Institutions

Publications per year

2017–2026

1.4K

Parents

Children

Publications

12.2K

Completely positive dynamical semigroups of <i>N</i>-level systems

Vittorio Gorini, Andrzej Kossakowski, E. C. G. Sudarshan · Journal of Mathematical Physics · 1976 · 4K citations

, , +11

Dissipative dynamical systems part I: General theory

Jan C. Willems · Archive for Rational Mechanics and Analysis · 1972 · 3.2K citations

, , +14

Making sense of non-Hermitian Hamiltonians

Reports on Progress in Physics · 2007 · 3K citations · Full text

, , +16

Solution of the Schrödinger Equation with a Hamiltonian Periodic in Time

J.H. Shirley · Physical Review · 1965 · 2.9K citations

, , +16

Unified dynamics for microscopic and macroscopic systems

G. C. Ghirardi, A. Rimini, T. Weber · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · 1986 · 2.8K citations

, , +16

1–5 of 12.2K

Authors

12.3K

  1. AV
    Arjan van der Schaft

    University of Twente, Netherlands

    105 publications · 8.9K citations

    39

    h-index

  2. JE
    Jerrold E. Marsden

    California Institute of Technology, United States

    44 publications · 5.5K citations

    30

    h-index

  3. WM
    Wen‐Xiu Ma

    University of South Florida, United States

    42 publications · 2.3K citations

    28

    h-index

  4. BM
    Bernhard Maschke

    Université Claude Bernard Lyon 1, France

    50 publications · 5.8K citations

    27

    h-index

  5. CM
    Carl M. Bender

    Washington University in St. Louis, United States

    27 publications · 4K citations

    23

    h-index

1–5 of 12.3K

Institutions

2.8K

  1. Centre National de la Recherche Scientifique

    Paris, France

    60 h-index

    578 publications

    24.9K citations

  2. University of California, Berkeley

    Berkeley, United States

    54 h-index

    195 publications

    18.9K citations

  3. Princeton University

    Princeton, United States

    47 h-index

    141 publications

    14.3K citations

  4. Université Paris Cité

    Paris, France

    44 h-index

    154 publications

    14.5K citations

  5. Los Alamos National Laboratory

    Los Alamos, United States

    40 h-index

    129 publications

    19.6K citations

  6. Massachusetts Institute of Technology

    Cambridge, United States

    40 h-index

    122 publications

    12.6K citations

  7. California Institute of Technology

    Pasadena, United States

    40 h-index

    119 publications

    14.4K citations

  8. Chinese Academy of Sciences

    Beijing, China

    40 h-index

    193 publications

    8.7K citations

1–8 of 2.8K

Venues

  1. Journal of Mathematical Physics

    730 publications · 43.7K citations

    85

    h-index

  2. Physical Review Letters

    PRL · 251 publications · 27K citations

    78

    h-index

  3. Journal of Physics A Mathematical and General

    511 publications · 24.7K citations

    77

    h-index

  4. The Journal of Chemical Physics

    184 publications · 14.3K citations

    64

    h-index

  5. Communications in Mathematical Physics

    204 publications · 16.5K citations

    62

    h-index

1–5