Concepedia

Near-identity Transformations

Near-Identity Transformation is a singular mathematical transformation belonging to the class of coordinate transformations, distinguished by its construction as a small perturbation of the identity map, typically expressed as an asymptotic expansion in a small parameter, and used to simplify dynamical systems by eliminating fast or oscillatory motions while preserving essential system structure.

24

Publications

700

Citations

41

Authors

27

Institutions

Publications per year

2017–2026

4

Parents

Publications

24

Perturbation Techniques for Oscillatory Systems with Slowly Varying Coefficients

J. Kevorkian · SIAM Review · 1987 · 74 citations

, , +17

Delayed feedback control of the Lorenz system: An analytical treatment at a subcritical Hopf bifurcation

Viktoras Pyragas, K. Pyragas · Physical Review E · 2006 · 70 citations

, , +17

The simplest normal form of Hopf bifurcation

Pei Yu, A.Y.T. Leung · Nonlinearity · 2002 · 60 citations

, , +17

Conditions for sustained orbital resonances in extreme mass ratio inspirals

Maarten van de Meent · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D, Particles, fields, gravitation, and cosmology · 2014 · 57 citations · Full text

, , +17

Near-identity diffeomorphisms and exponential /spl epsi/-tracking and /spl epsi/-stabilization of first-order nonholonomic SE(2) vehicles

Reza Olfati‐Saber · 2002 · 46 citations

, , +17

1–5 of 24

Authors

41

  1. MO
    Marcel Oliver

    Constructor University, Germany

    2 publications · 44 citations

    2

    h-index

  2. RH
    Richard Haberman

    Southern Methodist University, United States

    2 publications · 43 citations

    2

    h-index

  3. WL
    William L. Kath

    Northwestern University, United States

    2 publications · 58 citations

    2

    h-index

  4. DP
    David P. Stern

    Goddard Space Flight Center, United States

    2 publications · 26 citations

    2

    h-index

  5. TE
    Todd Ely

    Jet Propulsion Laboratory, United States

    1 publications · 17 citations

    1

    h-index

1–5 of 41

Institutions

27

  1. Goddard Space Flight Center

    Greenbelt, United States

    2 h-index

    2 publications

    26 citations

  2. Constructor University

    Bremen, Germany

    2 h-index

    2 publications

    44 citations

  3. California Institute of Technology

    Pasadena, United States

    2 h-index

    2 publications

    63 citations

  4. University of Washington

    Seattle, United States

    2 h-index

    4 publications

    209 citations

  5. University of Iowa

    Iowa City, United States

    1 h-index

    1 publications

    12 citations

  6. Universitat de Barcelona

    Barcelona, Spain

    1 h-index

    2 publications

    86 citations

  7. SUNY Geneseo

    Geneseo, United States

    1 h-index

    3 publications

    51 citations

  8. Jet Propulsion Laboratory

    Pasadena, United States

    1 h-index

    1 publications

    17 citations

1–8 of 27

Venues

  1. SIAM Journal on Applied Mathematics

    4 publications · 90 citations

    4

    h-index

  2. Journal of Mathematical Physics

    2 publications · 26 citations

    2

    h-index

  3. Journal of Statistical Mechanics Theory and Experiment

    JSTAT · 1 publications · 11 citations

    1

    h-index

  4. Numerische Mathematik

    1 publications · 12 citations

    1

    h-index

  5. Journal of Fluid Mechanics

    1 publications · 32 citations

    1

    h-index

1–5