World's Best Scientists 2026 revealed!
Nonlinearity
H-index 22

Nonlinearity

Ranking & Metrics

Discipline name Position Best Scientists Publications D-Index
Mathematics 66 148 216 20

Additional Metrics

Number of Best Scientists*: 180
Documents by Best Scientists*: 241
Top 100 Ranked Scientists*: 7
SCIMAGO H-index: 106
SCIMAGO SJR: 1.262
Impact Factor: 1.6

Overview

Top Research Topics at Nonlinearity?

Nonlinearity covers a variety of subjects, including Mathematical analysis, Pure mathematics, Nonlinear system, Mathematical physics and Classical mechanics. Topics in Mathematical analysis were tackled in line with various other fields like Invariant (mathematics) and Bifurcation. The Pure mathematics study featured in the journal draws connections with the study of Dynamical systems theory.

The Nonlinear system study featured in it draws parallels with the field of Schrödinger equation. Mathematical physics studies presented include Integrable system and Hamiltonian system.

  • Mathematical analysis (46.75%)
  • Pure mathematics (17.03%)
  • Nonlinear system (12.96%)

What are the most cited papers published in the journal?

  • Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators (740 citations)
  • Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar (596 citations)
  • Chimera states: Coexistence of coherence and incoherence in networks of coupled oscillators (524 citations)

Research areas of the most cited articles at Nonlinearity:

The most cited articles are organized to address concerns in the fields of Mathematical analysis, Nonlinear system, Mathematical physics, Classical mechanics and Dynamical systems theory. The most cited publications dive deep in exploring the relationship between the study of Mathematical analysis and Bifurcation. Applied mathematics and Schrödinger equation are some topics wherein Nonlinear system research discussed in the journal publications has an impact.

What topics the last edition of the journal is best known for?

  • Quantum mechanics
  • Mathematical analysis
  • Geometry

The previous edition focused in particular on these issues:

Nonlinearity focuses on Mathematical analysis, Pure mathematics, Mathematical physics, Applied mathematics and Nonlinear system. The work on Mathematical analysis tackled in it brings together disciplines like Compressibility and Stability (probability). The research on Pure mathematics tackled can also make contributions to studies in the areas of Measure (mathematics) and Class (set theory).

Schrödinger's cat is a major topic of Mathematical physics research.

The most cited articles from the last journal are:

  • Solution landscape of a reduced Landau-de Gennes model on a hexagon (9 citations)
  • Relaxation oscillations in substrate-depletion oscillators close to the nonsmooth limit (8 citations)
  • Asymptotic spreading speeds for a predator–prey system with two predators and one prey (7 citations)

Papers citation over time

A key indicator for each journal is its effectiveness in reaching other researchers with the papers published at that venue.

The chart below presents the interquartile range (first quartile 25%, median 50% and third quartile 75%) of the number of citations of articles over time.

The top authors publishing in Nonlinearity (based on the number of publications) are:

  • Robert S. MacKay (28 papers) absent at the last edition,
  • Bernd Krauskopf (21 papers) absent at the last edition,
  • Igor Kukavica (19 papers) absent at the last edition,
  • Edriss S. Titi (19 papers) published 1 paper at the last edition the same number as at the previous edition,
  • Ian Melbourne (17 papers) absent at the last edition.

The overall trend for top authors publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top authors.

Only papers with recognized affiliations are considered

The top affiliations publishing in Nonlinearity (based on the number of publications) are:

  • University of Warwick (68 papers) published 2 papers at the last edition, 1 more than at the previous edition,
  • Centre national de la recherche scientifique (56 papers) published 1 paper at the last edition the same number as at the previous edition,
  • Imperial College London (49 papers) absent at the last edition,
  • University of Paris (44 papers) published 5 papers at the last edition, 4 more than at the previous edition,
  • Georgia Institute of Technology (43 papers) absent at the last edition.

The overall trend for top affiliations publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top affiliations.

Publication chance based on affiliation

The publication chance index shows the ratio of articles published by the best research institutions in the journal edition to all articles published within that journal. The best research institutions were selected based on the largest number of articles published during all editions of the journal.

The chart below presents the percentage ratio of articles from top institutions (based on their ranking of total papers).Top affiliations were grouped by their rank into the following tiers: top 1-10, top 11-20, top 21-50, and top 51+. Only articles with a recognized affiliation are considered.

During the most recent 2021 edition, 56.28% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 11.11% were posted by at least one author from the top 10 institutions publishing in the journal. Another 5.56% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 16.67% of all publications and 66.67% were from other institutions.

Returning Authors Index

A very common phenomenon observed among researchers publishing scientific articles is the intentional selection of journals they have already attended in the past. In particular, it is worth analyzing the case when the authors participate in the same journal from year to year.

The Returning Authors Index presented below illustrates the ratio of authors who participated in both a given as well as the previous edition of the journal in relation to all participants in a given year.

Returning Institution Index

The graph below shows the Returning Institution Index, illustrating the ratio of institutions that participated in both a given and the previous edition of the conference in relation to all affiliations present in a given year.

The experience to innovation index

Our experience to innovation index was created to show a cross-section of the experience level of authors publishing in a journal. The index includes the authors publishing at the last edition of a journal, grouped by total number of publications throughout their academic career (P) and the total number of citations of these publications ever received (C).

The group intervals were selected empirically to best show the diversity of the authors' experiences, their labels were selected as a convenience, not as judgment. The authors were divided into the following groups:

  • Novice - P < 5 or C < 25 (the number of publications less than 5 or the number of citations less than 25),
  • Competent - P < 10 or C < 100 (the number of publications less than 10 or the number of citations less than 100),
  • Experienced - P < 25 or C < 625 (the number of publications less than 25 or the number of citations less than 625),
  • Master - P < 50 or C < 2500 (the number of publications less than 50 or the number of citations less than 2500),
  • Star - P ≥ 50 and C ≥ 2500 (both the number of publications greater than 50 and the number of citations greater than 2500).

The chart below illustrates experience levels of first authors in cases of publications with multiple authors.

Top Publications

  • Existence and regularity results for terminal value problem for nonlinear fractional wave equations

    Ngoc Tran Bao;Tomás Caraballo;Nguyen Huy Tuan;Nguyen Huy Tuan;Yong Zhou

    (2021)
    55 Citations
  • Semiclassical states for Choquard type equations with critical growth: critical frequency case

    Yanheng Ding;Fashun Gao;Minbo Yang

    (2020)
    43 Citations
  • Asymptotic spreading speeds for a predator–prey system with two predators and one prey

    Arnaud Ducrot;Thomas Giletti;Jong-Shenq Guo;Masahiko Shimojo

    (2021)
    43 Citations
  • Solvability and pullback attractor for a class of differential hemivariational inequalities with its applications

    (2023)
    43 Citations
  • Discrete nonlocal nonlinear Schrödinger systems: Integrability, inverse scattering and solitons

    Mark J Ablowitz;Xu-Dan Luo;Ziad H Musslimani

    (2020)
    42 Citations
  • Analysis of a West Nile virus model with nonlocal diffusion and free boundaries

    Yihong Du;Wenjie Ni

    (2020)
    42 Citations
  • Can simultaneous density-determined enhancement of diffusion and cross-diffusion foster boundedness in Keller-Segel type systems involving signal-dependent motilities?

    Michael Winkler

    (2020)
    36 Citations
  • Wild pseudohyperbolic attractor in a four-dimensional Lorenz system

    Sergey Gonchenko;Alexey Kazakov;Dmitry Turaev

    (2021)
    34 Citations
  • Rate-induced tipping: thresholds, edge states and connecting orbits

    (2021)
    28 Citations
  • Well-posedness of the nonlinear Schrödinger equation on the half-plane

    A. Alexandrou Himonas;Dionyssios Mantzavinos

    (2020)
    27 Citations

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