Journal of Nonlinear Science

Top Research Topics at Journal of Nonlinear Science?

The journal primarily focuses on research topics in Mathematical analysis, Nonlinear system, Classical mechanics, Statistical physics and Applied mathematics. The research on Mathematical analysis tackled can also make contributions to studies in the areas of Stability (probability) and Bifurcation. The studies on Classical mechanics discussed can also contribute to research in the domains of Vortex and Mechanics.

Journal of Nonlinear Science features Hamiltonian system research that overlaps with concepts in Hamiltonian (quantum mechanics).

• Mathematical analysis (46.99%)
• Nonlinear system (17.48%)
• Classical mechanics (16.07%)

What are the most cited papers published in the journal?

• A Data-Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition (769 citations)
• Variants of Dynamic Mode Decomposition: Boundary Condition, Koopman, and Fourier Analyses (445 citations)
• Coupled Nonlinear Oscillators and the Symmetries of Animal Gaits (436 citations)

Research areas of the most cited articles at Journal of Nonlinear Science:

The most cited papers cover a variety of subjects, including Mathematical analysis, Nonlinear system, Classical mechanics, Applied mathematics and Dynamical systems theory. In addition to Mathematical analysis research, the most cited publications aim to explore topics under Hopf bifurcation, Stability (probability) and Pure mathematics. The most cited papers tackle studies in Instability and the interrelated subject of Eigenvalues and eigenvectors to gain insights into Nonlinear system.

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:

The concepts of Mathematical analysis, Nonlinear system, Applied mathematics, Limit (mathematics) and Pure mathematics are tackled in the journal. Operator (physics) is a major topic of Mathematical analysis research presented in Journal of Nonlinear Science. While Journal of Nonlinear Science focused on Nonlinear system, it was also able to explore topics like Free surface, Wave–current interaction, Instability and Eigenvalues and eigenvectors.

Journal of Nonlinear Science tackles studies in Invariant (mathematics) and the interrelated subject of Markov process and Singularity to gain insights into Applied mathematics. Journal of Nonlinear Science addresses concerns in the field of Limit (mathematics) by exploring it in line with topics in Statistical physics which intersect with Pattern formation subjects. While work presented in the journal provided substantial information on Integrable system, it also covered topics in Focus (optics) and Gravitational singularity.

The most cited articles from the last journal are:

• Dimensionality Reduction of Complex Metastable Systems via Kernel Embeddings of Transition Manifolds (7 citations)
• Spatially Quasi-Periodic Water Waves of Infinite Depth (6 citations)
• Spontaneous periodic orbits in the Navier-Stokes flow (6 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.

Top authors and change over time

The top authors publishing in Journal of Nonlinear Science (based on the number of publications) are:

• Darryl D. Holm (14 papers) published 2 papers at the last edition, 1 more than at the previous edition,
• Andrew J. Majda (11 papers) absent at the last edition,
• Edriss S. Titi (11 papers) absent at the last edition,
• Peter Ashwin (9 papers) absent at the last edition,
• Robert V. Kohn (8 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.

Top affiliations and change over time

Only papers with recognized affiliations are considered

The top affiliations publishing in Journal of Nonlinear Science (based on the number of publications) are:

• Imperial College London (34 papers) published 5 papers at the last edition, 2 more than at the previous edition,
• Princeton University (27 papers) published 1 paper at the last edition the same number as at the previous edition,
• University of Warwick (26 papers) absent at the last edition,
• University of Minnesota (23 papers) absent at the last edition,
• Courant Institute of Mathematical Sciences (20 papers) published 1 paper at the last edition, 2 less than at the previous 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, 5.00% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 8.42% were posted by at least one author from the top 10 institutions publishing in the journal. Another 7.37% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 18.95% of all publications and 65.26% 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.