Concepedia

Piecewise Smooth Maps

Piecewise Smooth Map is a type of iterated map in discrete dynamical systems defined on a domain partitioned into finitely many regions, where the map is smooth (continuously differentiable) within each region but may exhibit discontinuities or non-differentiability at the boundaries between regions.

270

Publications

12.1K

Citations

444

Authors

271

Institutions

Publications per year

2017–2026

41

Variants

Piecewise Smooth Map

Parents

Publications

270

Border-collision bifurcations including “period two to period three” for piecewise smooth systems

Helena E. Nusse, James A. Yorke · Physica D Nonlinear Phenomena · 1992 · 490 citations

, , +14

Nonlinear phenomena in power electronics : attractors, bifurcations, chaos, and nonlinear control

Soumitro Banerjee, George C. Verghese · CERN Document Server (European Organization for Nuclear Research) · 2001 · 355 citations

, , +17

Bifurcations in two-dimensional piecewise smooth maps-theory and applications in switching circuits

Soumitro Banerjee, Priya Ranjan, Celso Grebogi · IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications · 2000 · 324 citations

, , +15

Piecewise smooth dynamical systems

Alan Champneys, Mario di Bernardo · Scholarpedia · 2008 · 313 citations · Full text

, , +9

BORDER-COLLISION BIFURCATIONS FOR PIECEWISE SMOOTH ONE-DIMENSIONAL MAPS

Helena E. Nusse, James A. Yorke · International Journal of Bifurcation and Chaos · 1995 · 292 citations

, , +17

1–5 of 270

Authors

444

  1. SB
    Soumitro Banerjee

    Indian Institute of Technology Kharagpur, India

    18 publications · 1.6K citations

    14

    h-index

  2. LG
    Laura Gardini

    University of Urbino, Italy

    15 publications · 563 citations

    12

    h-index

  3. IS
    Iryna Sushko

    Institute of Mathematics, Ukraine

    11 publications · 491 citations

    11

    h-index

  4. MD
    Mario di Bernardo

    University of Naples Federico II, Italy

    7 publications · 767 citations

    7

    h-index

  5. JA
    James A. Yorke

    University of Maryland, College Park, United States

    7 publications · 1.2K citations

    7

    h-index

1–5 of 444

Institutions

271

  1. Indian Institute of Technology Kharagpur

    Kharagpur, India

    15 h-index

    28 publications

    2.1K citations

  2. University of Maryland, College Park

    College Park, United States

    13 h-index

    30 publications

    3.5K citations

  3. University of Urbino

    Urbino, Italy

    12 h-index

    15 publications

    537 citations

  4. University of Bristol

    Bristol, United Kingdom

    11 h-index

    22 publications

    1.7K citations

  5. Institute of Mathematics

    Kyiv, Ukraine

    10 h-index

    11 publications

    467 citations

  6. National Academy of Sciences of Ukraine

    Kyiv, Ukraine

    8 h-index

    8 publications

    427 citations

  7. Indian Institute of Science Education and Research Kolkata

    Kolkata, India

    7 h-index

    9 publications

    151 citations

  8. Technical University of Denmark

    Kongens Lyngby, Denmark

    5 h-index

    5 publications

    135 citations

1–8 of 271

Venues

  1. International Journal of Bifurcation and Chaos

    IJBC · 19 publications · 881 citations

    15

    h-index

  2. Ergodic Theory and Dynamical Systems

    14 publications · 574 citations

    13

    h-index

  3. Nonlinearity

    10 publications · 491 citations

    10

    h-index

  4. 9

    h-index

  5. 9

    h-index

1–5