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Qualitative Theory of Dynamical Systems
H-index 17

Qualitative Theory of Dynamical Systems

1575-5460

Published by: Springer

https://www.springer.com/journal/12346

Ranking & Metrics

Discipline name Position Best Scientists Publications D-Index
Mathematics 106 75 206 17

Additional Metrics

Number of Best Scientists*: 98
Documents by Best Scientists*: 226
Top 100 Ranked Scientists*: 11
SCIMAGO H-index: 31
SCIMAGO SJR: 0.6
Impact Factor: 2.1

Overview

Top Research Topics at Qualitative Theory of Dynamical Systems?

Qualitative Theory of Dynamical Systems is mainly concerned with subjects like Mathematical analysis, Pure mathematics, Combinatorics, Discrete mathematics and Applied mathematics. Issues in Mathematical analysis were discussed, taking into consideration concepts from other disciplines like Vector field and Bifurcation, Nonlinear system. Topics in Pure mathematics were tackled in line with various other fields like Polynomial and Type (model theory).

Applied mathematics research featured in it incorporates concerns from various other topics such as Lyapunov function and Stability (probability). Qualitative Theory of Dynamical Systems is mostly focused on Limit (mathematics), specifically Limit cycle. Research in Hamiltonian system discussed is concerned with the study of Mathematical physics as a whole.

  • Mathematical analysis (40.55%)
  • Pure mathematics (24.27%)
  • Combinatorics (15.21%)

What are the most cited papers published in the journal?

  • A survey of isochronous centers (185 citations)
  • Algebraic aspects of integrability for polynomial systems (75 citations)
  • Non-Linear Dynamics with Non-Standard Lagrangians (62 citations)

Research areas of the most cited articles at Qualitative Theory of Dynamical Systems:

The journal publications tackle a plethora of topics, such as Mathematical analysis, Pure mathematics, Discrete mathematics, Algebra and Combinatorics. The journal publications hold forums on Mathematical analysis that merge themes from other disciplines such as Function (mathematics), Type (model theory) and Impulse (physics). While Pure mathematics is the focus of the published papers, it also provides insights into the studies of Limit cycle, Nonlinear system, Vector field and Differential equation.

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 primary areas of discussion in Qualitative Theory of Dynamical Systems are Pure mathematics, Mathematical analysis, Applied mathematics, Combinatorics and Mathematical physics. The research on Pure mathematics tackled can also make contributions to studies in the areas of Structure (category theory), Vector field, Measure (mathematics) and Class (set theory). Some problems in Mathematical analysis that were presented in the journal overlapped with concepts under Bifurcation, Nonlinear system and Type (model theory).

The studies on Applied mathematics discussed can also contribute to research in the domains of Exponential stability, Stability (probability), Lyapunov function, Differential equation and Order (group theory). The Combinatorics studies in the journal expound on topics in

  • Omega, which have a strong connection to Dendrite (mathematics),
  • Invariant (mathematics) that connect with fields like Algebraic surface.. Integrable system studies in the realm of Mathematical physics interact with fields like Persistence (discontinuity) and Lagrangian.

The most cited articles from the last journal are:

  • Dynamical Behavior of Traveling Wave Solutions for a (2+1)-Dimensional Bogoyavlenskii Coupled System (6 citations)
  • Periodic Points of Regular Curve Homeomorphisms (4 citations)
  • Phase Portraits of Random Planar Homogeneous Vector Fields (3 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 Qualitative Theory of Dynamical Systems (based on the number of publications) are:

  • Jaume Llibre (25 papers) absent at the last edition,
  • Claudio Vidal (11 papers) published 2 papers at the last edition the same number as at the previous edition,
  • Armengol Gasull (10 papers) published 1 paper at the last edition, 1 less than at the previous edition,
  • Claudia Valls (8 papers) published 1 paper at the last edition, 2 less than at the previous edition,
  • Ernesto A. Lacomba (7 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 Qualitative Theory of Dynamical Systems (based on the number of publications) are:

  • Autonomous University of Barcelona (44 papers) published 1 paper at the last edition, 4 less than at the previous edition,
  • Zhejiang Normal University (19 papers) published 4 papers at the last edition, 3 less than at the previous edition,
  • University of São Paulo (17 papers) absent at the last edition,
  • Universidad Autónoma Metropolitana (15 papers) absent at the last edition,
  • National Autonomous University of Mexico (14 papers) published 1 paper 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, 13.68% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 14.63% were posted by at least one author from the top 10 institutions publishing in the journal. Another 12.20% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 29.27% of all publications and 43.90% 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

  • Considering the Shallow Water of a Wide Channel or an Open Sea Through a Generalized (2+1)-dimensional Dispersive Long-wave System

    (2022)
    56 Citations
  • A new (3+1)-dimensional Sakovich equation in nonlinear wave motion: Painlevé integrability, multiple solitons and soliton molecules

    (2022)
    47 Citations
  • Dynamical Behavior of Traveling Wave Solutions for a (2+1)-Dimensional Bogoyavlenskii Coupled System

    Temesgen Desta Leta;Wenjun Liu;Abdelfattah El Achab;Hadi Rezazadeh

    (2021)
    36 Citations
  • Fibonacci Wavelet Collocation Method for Fredholm Integral Equations of Second Kind

    (2023)
    35 Citations
  • Well-Posedness of Inverse Sturm–Liouville Problem with Fractional Derivative

    (2022)
    34 Citations
  • Stability and Bifurcation Analysis of an Amensalism Model with Weak Allee Effect

    Zhen Wei;Yonghui Xia;Tonghua Zhang

    (2020)
    31 Citations
  • Existence Results and Ulam–Hyers Stability for a Fully Coupled System of Nonlinear Sequential Hilfer Fractional Differential Equations and Integro-Multistrip-Multipoint Boundary Conditions

    (2022)
    26 Citations
  • Qualitative Investigation of Nonlinear Fractional Coupled Pantograph Impulsive Differential Equations

    (2022)
    26 Citations
  • Quaternion-Valued Linear Impulsive Differential Equations

    Leping Suo;Michal Fečkan;Michal Fečkan;JinRong Wang;JinRong Wang

    (2021)
    24 Citations
  • Discussion on the Approximate Controllability of Nonlocal Fractional Derivative by Mittag-Leffler Kernel to Stochastic Differential Systems

    (2022)
    20 Citations

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