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Differential Equations and Dynamical Systems
H-index 7

Differential Equations and Dynamical Systems

0971-3514

Published by: Springer

https://www.springer.com/journal/12591

Ranking & Metrics

Discipline name Position Best Scientists Publications D-Index
Mathematics 441 23 34 6

Additional Metrics

Number of Best Scientists*: 29
Documents by Best Scientists*: 40
Top 100 Ranked Scientists*: 3
SCIMAGO H-index: 26
SCIMAGO SJR: 0.332
Impact Factor: 0.9

Overview

Top Research Topics at Differential Equations and Dynamical Systems?

Differential Equations and Dynamical Systems investigates studies in Mathematical analysis, Applied mathematics, Nonlinear system, Differential equation and Boundary value problem. The work on Mathematical analysis tackled in Differential Equations and Dynamical Systems brings together disciplines like Type (model theory) and Pure mathematics. The research on Applied mathematics featured in Differential Equations and Dynamical Systems combines topics in other fields like Discretization, Control theory, Exponential stability, Stability (probability) and Lyapunov function.

The study on Control theory presented is investigated in conjunction with research in Chaotic. Issues in Stability (probability) were discussed, taking into consideration concepts from other disciplines like Equilibrium point and Hopf bifurcation, Bifurcation. Differential Equations and Dynamical Systems focused on Differential equation research but expanded to cover Banach space.

The journal connects the study in Boundary value problem with the closely related area of Combinatorics.

  • Mathematical analysis (43.69%)
  • Applied mathematics (20.31%)
  • Nonlinear system (18.26%)

What are the most cited papers published in the journal?

  • Global Stability of Complex-Valued Neural Networks on Time Scales (76 citations)
  • Mathematical analysis of the role of repeated exposure on malaria transmission dynamics (71 citations)
  • Oscillation of third order nonlinear functional dynamic equations on time scales (45 citations)

Research areas of the most cited articles at Differential Equations and Dynamical Systems:

The published papers focus on Mathematical analysis, Applied mathematics, Stability (probability), Control theory and Exponential stability. Issues in Stability (probability) were discussed in the published papers, taking into consideration concepts from other disciplines like Order (group theory), Equilibrium point, Hopf bifurcation and Mathematical physics. The journal papers explore topics in Control theory which can be helpful for research in disciplines like Upper and lower bounds and Dynamics (mechanics).

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:

The journal explores disciplines such as Applied mathematics, Mathematical analysis, Differential equation, Nonlinear system and Stability (probability). The journal facilitates discussions on Applied mathematics that incorporate concepts from other fields like Mathematical economics, Type (model theory), Discretization, Numerical analysis and Variable (mathematics). Topics in Mathematical analysis were tackled in line with various other fields like Controllability and Work (thermodynamics).

The work on Differential equation tackled in Differential Equations and Dynamical Systems brings together disciplines like Pure mathematics, Fourth order, Algebraic equation, Uniqueness and Order (group theory). The presented Nonlinear system study covers related areas such as Homotopy analysis method, Simultaneous equations and Volterra integral equation and also touches on topics like Walsh series. While work presented in Differential Equations and Dynamical Systems provided substantial information on Stability (probability), it also covered topics in Constant (mathematics), Steady state (electronics), Dynamics (mechanics) and Bifurcation.

The most cited articles from the last journal are:

  • Transmission Dynamics of Zika Fever: A SEIR Based Model (10 citations)
  • Lie Group Analysis of Nanofluid Slip Flow with Stefan Blowing Effect via Modified Buongiorno’s Model: Entropy Generation Analysis (6 citations)
  • Higher Order Uniformly Convergent Numerical Algorithm for Time-Dependent Singularly Perturbed Differential-Difference Equations (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.

The top authors publishing in Differential Equations and Dynamical Systems (based on the number of publications) are:

  • Dhirendra Bahuguna (11 papers) absent at the last edition,
  • Dwijendra N. Pandey (9 papers) published 2 papers at the last edition, 1 more than at the previous edition,
  • Syed Abbas (6 papers) published 1 paper at the last edition,
  • Debasis Mukherjee (6 papers) absent at the last edition,
  • Talat Körpinar (6 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 Differential Equations and Dynamical Systems (based on the number of publications) are:

  • Indian Institute of Technology Kanpur (17 papers) published 2 papers at the last edition, 1 less than at the previous edition,
  • Indian Institute of Technology Roorkee (16 papers) published 3 papers at the last edition, 1 less than at the previous edition,
  • King Abdulaziz University (11 papers) published 1 paper at the last edition, 1 less than at the previous edition,
  • Missouri University of Science and Technology (11 papers) absent at the last edition,
  • South Asian University (11 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, 13.04% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 21.67% were posted by at least one author from the top 10 institutions publishing in the journal. Another 6.67% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 8.33% of all publications and 63.33% 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

  • Theory of Nonlinear Implicit Fractional Differential Equations

    Kishor D. Kucche;Juan J. Nieto;Juan J. Nieto;Venktesh Venktesh

    (2020)
    37 Citations
  • Application of Non-singular Kernel in a Tumor Model with Strong Allee Effect

    (2022)
    15 Citations
  • Existence of Unique Solutions to the Telegraph Equation in Binary Reproducing Kernel Hilbert Spaces

    (2020)
    14 Citations
  • Mittag–Leffler Stability for Impulsive Caputo Fractional Differential Equations

    R. Agarwal;S. Hristova;D. O’Regan

    (2021)
    10 Citations
  • On General Fractional Differential Inclusions with Nonlocal Integral Boundary Conditions

    Bashir Ahmad;Mohammed M. Matar;Sotiris K. Ntouyas;Sotiris K. Ntouyas

    (2020)
    9 Citations
  • The Limit Cycles of Discontinuous Piecewise Linear Differential Systems Formed by Centers and Separated by Irreducible Cubic Curves II

    Rebiha Benterki;Loubna Damene;Jaume Llibre

    (2021)
    9 Citations
  • A Differential Game Problem of Many Pursuers and One Evader in the Hilbert Space $$ll_2$$ ℓ 2

    Jewaidu Rilwan;Jewaidu Rilwan;Poom Kumam;Gafurjan Ibragimov;Abbas Ja’afaru Badakaya

    (2020)
    5 Citations
  • On Iterative Solutions and Error Estimations of a Coupled System of Fractional Order Differential-Integral Equations with Initial and Boundary Conditions

    Hasib Khan;Hasib Khan;Hossein Jafari;Hossein Jafari;Dumitru Baleanu;Dumitru Baleanu;Rahmat Ali Khan

    (2020)
    5 Citations
  • Numerical Solution of a Nonlinear Fractional Integro-Differential Equation by a Geometric Approach

    S. Shahmorad;S. Pashaei;M. S. Hashemi

    (2021)
    4 Citations
  • Existence and Controllability Results for Integrodifferential Equations with State-Dependent Nonlocal Conditions via Fractional Power Operators in Fréchet Spaces

    (2024)
    3 Citations

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Best Scientists Contributing to This Journal