Journal of Dynamics and Differential Equations

Top Research Topics at Journal of Dynamics and Differential Equations?

The topics of Ordinary differential equation, Partial differential equation, Mathematical analysis, Pure mathematics and Attractor are the focal point of discussions in the journal. The Ordinary differential equation study featured falls within the larger field of Differential equation. Some problems in Partial differential equation that were presented in the journal overlapped with concepts under Dynamical systems theory, Reaction–diffusion system, Type (model theory), Uniqueness and Nonlinear system.

While work presented in it provided substantial information on Mathematical analysis, it also covered topics in Eigenvalues and eigenvectors, Invariant (mathematics) and Homoclinic orbit, Bifurcation. Presentations on Homoclinic orbit include those discussing Heteroclinic orbit and Homoclinic bifurcation. The Pure mathematics study featured in the journal draws connections with the study of Discrete mathematics.

• Ordinary differential equation (76.63%)
• Partial differential equation (67.95%)
• Mathematical analysis (58.52%)

What are the most cited papers published in the journal?

• Traveling Wave Fronts of Reaction-Diffusion Systems with Delay (410 citations)
• The Three Dimensional Viscous Camassa–Holm Equations, and Their Relation to the Navier–Stokes Equations and Turbulence Theory (384 citations)
• Threshold Dynamics for Compartmental Epidemic Models in Periodic Environments (368 citations)

Research areas of the most cited articles at Journal of Dynamics and Differential Equations:

The published articles investigate studies in Ordinary differential equation, Mathematical analysis, Partial differential equation, Attractor and Differential equation. While the published articles focused on Ordinary differential equation, they were also able to explore topics like Reaction–diffusion system, Pure mathematics, Stability (probability), Bounded function and Uniqueness. Partial differential equation research in the journal publications involves the investigation of Applied mathematics studies, all of which are linked to disciplines such as Basic reproduction number.

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:

Journal of Dynamics and Differential Equations focuses largely on the fields of Ordinary differential equation, Partial differential equation, Mathematical analysis, Pure mathematics and Applied mathematics. The journal explores issues in Ordinary differential equation which can be linked to other research areas like Mathematical physics, Attractor, Bounded function, Invariant (mathematics) and Nonlinear system. The work on Partial differential equation tackled in the journal brings together disciplines like Reaction–diffusion system, Type (model theory), Uniqueness, Differential equation and Degenerate energy levels.

The studies tackled, which mainly focus on Mathematical analysis, apply to Bifurcation as well. The research on Pure mathematics tackled can also make contributions to studies in the areas of Function (mathematics), Operator (physics), Space (mathematics) and Class (set theory). The Applied mathematics study featured in the journal draws parallels with the field of Dynamical systems theory.

The most cited articles from the last journal are:

• Analysis of a Reaction–Diffusion Cholera Model with Distinct Dispersal Rates in the Human Population (10 citations)
• Singular Stationary Measures for Random Piecewise Affine Interval Homeomorphisms (5 citations)
• Dynamics of Classical Poisson–Nernst–Planck Systems with Multiple Cations and Boundary Layers (5 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 Dynamics and Differential Equations (based on the number of publications) are:

• Yingfei Yi (24 papers) published 2 papers at the last edition, 1 more than at the previous edition,
• Wenxian Shen (18 papers) published 1 paper at the last edition, 2 less than at the previous edition,
• Jaume Llibre (18 papers) published 2 papers at the last edition the same number as at the previous edition,
• Xiao-Qiang Zhao (18 papers) absent at the last edition,
• Hans-Otto Walther (17 papers) published 2 papers at the last edition, 1 more than at the previous 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 Dynamics and Differential Equations (based on the number of publications) are:

• Georgia Institute of Technology (60 papers) published 2 papers at the last edition,
• University of Minnesota (45 papers) published 1 paper at the last edition,
• University of São Paulo (25 papers) published 3 papers at the last edition the same number as at the previous edition,
• Brown University (24 papers) absent at the last edition,
• Comenius University in Bratislava (23 papers) published 2 papers at the last edition, 1 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, 13.27% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 8.82% were posted by at least one author from the top 10 institutions publishing in the journal. Another 9.41% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 20.00% of all publications and 61.76% 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.