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Discrete and Continuous Dynamical Systems
H-index 16

Discrete and Continuous Dynamical Systems

1078-0947

Published by: American Institute of Mathematical Sciences

https://www.aimsciences.org/journal/1078-0947

Ranking & Metrics

Discipline name Position Best Scientists Publications D-Index
Mathematics 115 133 165 16

Additional Metrics

Number of Best Scientists*: 151
Documents by Best Scientists*: 180
Top 100 Ranked Scientists*: 4
SCIMAGO H-index: 80
SCIMAGO SJR: 1.065
Impact Factor: 1.1

Overview

Top Research Topics at Discrete and Continuous Dynamical Systems?

Discrete and Continuous Dynamical Systems was organized to reinforce research efforts on Mathematical analysis, Pure mathematics, Combinatorics, Nonlinear system and Bounded function. It focuses on Mathematical analysis but the discussions also offer insight into other areas such as Boundary (topology) and Type (model theory). The concepts on Pure mathematics presented in Discrete and Continuous Dynamical Systems can also apply to other research fields, including Class (set theory) and Dynamical systems theory.

The research on Combinatorics featured in the journal combines topics in other fields like Domain (ring theory), Nabla symbol, Omega and Lambda. Discrete and Continuous Dynamical Systems connects research in Nonlinear system with the related topic of Mathematical physics. The journal investigates Bounded function research which frequently intersects with Domain (mathematical analysis).

  • Mathematical analysis (39.16%)
  • Pure mathematics (21.44%)
  • Combinatorics (17.09%)

What are the most cited papers published in the journal?

  • Numerical approximations of Allen-Cahn and Cahn-Hilliard equations (474 citations)
  • Variational methods for non-local operators of elliptic type (419 citations)
  • GLOBAL ATTRACTORS FOR DAMPED SEMILINEAR WAVE EQUATIONS (314 citations)

Research areas of the most cited articles at Discrete and Continuous Dynamical Systems:

The most cited publications tackle a plethora of topics, such as Mathematical analysis, Pure mathematics, Nonlinear system, Combinatorics and Bounded function. The journal papers explore topics in Mathematical analysis which can be helpful for research in disciplines like Type (model theory) and Boundary (topology). While the journal publications focused on Nonlinear system, they were also able to explore topics like Schrödinger equation and Mathematical physics.

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

  • Mathematical analysis
  • Quantum mechanics
  • Algebra

The previous edition focused in particular on these issues:

Combinatorics, Pure mathematics, Mathematical analysis, Bounded function and Type (model theory) are among the topics commonly tackled in the journal. The Combinatorics works featured in Discrete and Continuous Dynamical Systems incorporate elements from Nabla symbol, Omega, Order (ring theory), Domain (ring theory) and Lambda. Topics in Pure mathematics explored in it were investigated in conjunction with research in Class (set theory), Fixed point and Measure (mathematics).

Mathematical analysis research featured in it incorporates concerns from various other topics such as Compressibility, Stability (probability) and Nonlinear system. Most of the Nonlinear system studies addressed also intersect with Schrödinger equation. Bounded function research presented in Discrete and Continuous Dynamical Systems encompasses a variety of subjects, including Boundary (topology) and Domain (mathematical analysis).

The most cited articles from the last journal are:

  • Generalized solutions to models of compressible viscous fluids (18 citations)
  • Mckean-Vlasov sdes with drifts discontinuous under wasserstein distance (16 citations)
  • A POSTERIORI ERROR ESTIMATES for SELF-SIMILAR SOLUTIONS to the EULER EQUATIONS (9 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 Discrete and Continuous Dynamical Systems (based on the number of publications) are:

  • Jaume Llibre (17 papers) absent at the last edition,
  • Roger Temam (17 papers) published 1 paper at the last edition the same number as at the previous edition,
  • Claudia Valls (16 papers) absent at the last edition,
  • Luis Barreira (16 papers) absent at the last edition,
  • Juncheng Wei (14 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 Discrete and Continuous Dynamical Systems (based on the number of publications) are:

  • University of Minnesota (15 papers) absent at the last edition,
  • New York University (15 papers) absent at the last edition,
  • Pennsylvania State University (15 papers) absent at the last edition,
  • Institut de Mathématiques de Toulouse (14 papers) absent at the last edition,
  • University of Warsaw (13 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, 94.31% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 12.50% were posted by at least one author from the top 10 institutions publishing in the journal. Another 0.00% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 12.50% of all publications and 75.00% 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

  • Positivity, monotonicity, and convexity for convolution operators

    Christopher Goodrich;Carlos Lizama

    (2020)
    51 Citations
  • The separation property for 2D Cahn-Hilliard equations: Local, nonlocal and fractional energy cases

    (2023)
    48 Citations
  • Mckean-Vlasov sdes with drifts discontinuous under wasserstein distance

    Xing Huang;Feng-Yu Wang

    (2021)
    46 Citations
  • Generalized solutions to models of compressible viscous fluids

    Anna Abbatiello;Eduard Feireisl;Antoní Novotný

    (2021)
    42 Citations
  • Two species nonlocal diffusion systems with free boundaries

    Yihong Du;Mingxin Wang;Meng Zhao

    (2021)
    41 Citations
  • A POSTERIORI ERROR ESTIMATES for SELF-SIMILAR SOLUTIONS to the EULER EQUATIONS

    Alberto Bressan;Wen Shen

    (2021)
    35 Citations
  • N- Laplacian problems with critical double exponential nonlinearities

    (2021)
    30 Citations
  • Multiple positive solutions for a Schrödinger logarithmic equation

    Claudianor O. Alves;Chao Ji

    (2020)
    29 Citations
  • Critical mass for infinite-time blow-up in a haptotaxis system with nonlinear zero-order interaction

    Youshan Tao;Michael Winkler

    (2021)
    26 Citations
  • Mean equicontinuity, complexity and applications

    Jie Li;Xiangdong Ye;Tao Yu

    (2021)
    25 Citations

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