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Qualitative Theory of Dynamical Systems — Template for authors

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Guideline source

Categories	Rank	Trend in last 3 yrs
Discrete Mathematics and Combinatorics	#24 of 85	up by 1 rank
Applied Mathematics	#249 of 548	down by 6 ranks

Journal quality:

Good

Last 4 years overview: 244 Published Papers | 503 Citations

Indexed in: Scopus

Last updated: 15/06/2020

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Journal Performance & Insights

Impact Factor

CiteRatio

Determines the importance of a journal by taking a measure of frequency with which the average article in a journal has been cited in a particular year.

A measure of average citations received per peer-reviewed paper published in the journal.

1.4

42% from 2018

Impact factor for Qualitative Theory of Dynamical Systems from 2016 - 2019
Year	Value
2019	1.4
2018	0.986
2017	1.019
2016	0.825

Graph view

2.1

CiteRatio for Qualitative Theory of Dynamical Systems from 2016 - 2020
Year	Value
2020	2.1
2019	2.1
2018	1.7
2017	1.5
2016	1.3

Graph view

Insights

Impact factor of this journal has increased by 42% in last year.
This journal’s impact factor is in the top 10 percentile category.

Insights

This journal’s CiteRatio is in the top 10 percentile category.

SCImago Journal Rank (SJR)

Source Normalized Impact per Paper (SNIP)

Measures weighted citations received by the journal. Citation weighting depends on the categories and prestige of the citing journal.

Measures actual citations received relative to citations expected for the journal's category.

0.469

8% from 2019

SJR for Qualitative Theory of Dynamical Systems from 2016 - 2020
Year	Value
2020	0.469
2019	0.51
2018	0.44
2017	0.492
2016	0.33

Graph view

0.929

22% from 2019

SNIP for Qualitative Theory of Dynamical Systems from 2016 - 2020
Year	Value
2020	0.929
2019	1.187
2018	0.871
2017	1.023
2016	0.538

Graph view

Insights

SJR of this journal has decreased by 8% in last years.
This journal’s SJR is in the top 10 percentile category.

Insights

SNIP of this journal has decreased by 22% in last years.
This journal’s SNIP is in the top 10 percentile category.

Qualitative Theory of Dynamical Systems

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Springer

Qualitative Theory of Dynamical Systems

Qualitative Theory of Dynamical Systems (QTDS) publishes high-quality peer-reviewed research articles on the theory and applications of discrete and continuous dynamical systems. The journal addresses mathematicians as well as engineers, physicists, and other scientists who use dynamical systems as valuable research tools. Bibliographic DataQual. Theory Dyn. Syst.1 volume per year, 2 issues per volume, approx. 360 pages per volumeFormat: 15.5 x 23.5 cm ISSN 1575-5460 (print)ISSN 1662-3592 (electronic) AMS Mathematical Citation Quotient (MCQ): 0.24 (2009) Read Less

Mathematics

Last updated on	15 Jun 2020
ISSN	1575-5460
Impact Factor	Medium - 0.663
Open Access	No
Sherpa RoMEO Archiving Policy	Green
Plagiarism Check	Available via Turnitin
Endnote Style	Download Available
Bibliography Name	SPBASIC
Citation Type	Author Year (Blonder et al, 1982)
Bibliography Example	Beenakker CWJ (2006) Specular andreev reflection in graphene. Phys Rev Lett 97(6):067,007, URL 10.1103/PhysRevLett.97.067007

Top papers written in this journal

Open access • Journal Article • DOI: 10.1007/BF02969404 •

A survey of isochronous centers

Marco Sabatini¹, Javier Chavarriga Soriano¹ •

01 Mar 1999 - Qualitative Theory of Dynamical Systems

Abstract:

In this survey we give an overview of the results obtained in the study of isochronous centers of vector fields in the plane. This paper consists of two parts. In the first one (sections 2--8), we review some general techniques that proved to be useful in the study of isochronicity. In the second one (sections 9--16), we try ... In this survey we give an overview of the results obtained in the study of isochronous centers of vector fields in the plane. This paper consists of two parts. In the first one (sections 2--8), we review some general techniques that proved to be useful in the study of isochronicity. In the second one (sections 9--16), we try to give a picture of the state of the art at the moment this review was written. In section 2, we give some basic definitions about centers, isochronous centers, first integrals, integrating factors, particular algebraic solutions, and other related concepts. In this sections we also give some general theorems about centers and isochronous centers, and we give a brief account of the evolution of the researches in this field. In the successive sections we focus on various methods that have been used in attacking the isochonicity problem. We start with linearizations in section 3, stating Poincar\'e's classical theorem and some of its consequences. Section 4 is devoted to describe the procedure that leads to define and compute isochronous constants. In section 5, commutators are introduced, and basic facts about couples of commuting systems are described. Classical theorems about systems obtained from complex ordinary differential equations are collected in section 6. Hamiltonian systems are considered in section 7, where their connection to the study of the Jacobian Conjecture is showed, too. Section 8 is concerned with systems having constant angular speed with respect to some coordinate system. The second part starts with section 9, that is devoted to recent results about second order differential equations not immediately reducible to hamiltonian systems. This section also contains the characterization of isochronous centers of reversible Li\'enard systems. In section 10 we list all fundamental results about isochronous centers of quadratic systems. Next section contains results about cubic systems with homogeneous nonlinearities. Sections 12 is devoted to cubic reversible systems. In section 13 we collect results about quartic and quintic systems with homogeneous nonlinearities. A class of particular cubic systems, with degenerate infinity is considered in section 14. Finally, section 15 is devoted to Kukles system. All the sections of the second part, and some of the first part, contain tables, where the main features of the considered systems are collected. When possible, for every class of systems we have written the system in rectangular and polar coordinates, and we have reported a first integral, a commutator, a linearization and a reciprocal integrating factor. The bibliography contains references both to papers devoted to the study of isochronicity and to papers concerned with integrability of plane systems and the study of the period function of centers. We have tried to make the bibliography so complete as possible for what is concerned with isochronicity. We have made no effort to make it complete for papers about integrability and the study of the period function. We apologize for possible mistakes and encourage the readers to communicate us any corrections. read more

Topics:

Quartic function (51%)51% related to the paper

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222 Citations

Journal Article • DOI: 10.1007/BF02969405 •

Algebraic aspects of integrability for polynomial systems

Jaume Llibre¹, Colin Christopher² •

01 Mar 1999 - Qualitative Theory of Dynamical Systems

Abstract:

We present an introductory survey to the Darboux integrability theory of planar complex and real polynomial differential systems. Our presentation contains some improvements to the classical theory. read more

Topics:

Monic polynomial (61%)61% related to the paper, Algebraic function (60%)60% related to the paper, Polynomial (59%)59% related to the paper,

84 Citations

Journal Article • DOI: 10.1007/S12346-012-0074-0 •

Non-Linear Dynamics with Non-Standard Lagrangians

Ahmad Rami El-Nabulsi

01 Oct 2013 - Qualitative Theory of Dynamical Systems

Abstract:

Two new actions being of a non-natural class ${S = \int {e^{L(q, \dot {q}, t)}dt}}$ and ${S = \int {L^{1 + \gamma }(q, \dot {q}, t)dt}, \gamma \in {\mathbb{R}}}$ with non-standard Lagrangians are introduced. It is demonstrated that nonlinear systems holding new dynamical properties may be obtained. Several constrained Lag... Two new actions being of a non-natural class ${S = \int {e^{L(q, \dot {q}, t)}dt}}$ and ${S = \int {L^{1 + \gamma }(q, \dot {q}, t)dt}, \gamma \in {\mathbb{R}}}$ with non-standard Lagrangians are introduced. It is demonstrated that nonlinear systems holding new dynamical properties may be obtained. Several constrained Lagrangians systems have been identified to possess attractive properties. Additional features are explored and discussed in some details. read more

78 Citations

Journal Article • DOI: 10.1007/S12346-010-0024-7 •

New Results on the Study of Zq-Equivariant Planar Polynomial Vector Fields

Jibin Li¹, Jibin Li², •

24 Jun 2010 - Qualitative Theory of Dynamical Systems

Abstract:

In this paper, we introduce some new results on the study of Z q -equivariant planar polynomial vector fields. The main conclusions are as follows. (1) For the Z 2-equivariant planar cubic systems having two elementary foci, the characterization of a bi-center problem and shortened expressions of the first six Lyapunov con... In this paper, we introduce some new results on the study of Z q -equivariant planar polynomial vector fields. The main conclusions are as follows. (1) For the Z 2-equivariant planar cubic systems having two elementary foci, the characterization of a bi-center problem and shortened expressions of the first six Lyapunov constants are completely solved. The necessary and sufficient conditions for the existence of the bi-center are obtained. All possible first integrals are given. Under small Z 2-equivariant cubic perturbations, the conclusion that there exist at most 12 small-amplitude limit cycles with the scheme $${\langle 6\amalg 6\rangle}$$ is proved. (2) On the basis of mentioned work in (1), by considering the bifurcation of a global limit cycle from infinity, we show that under small Z 2-equivariant cubic perturbations, such bi-center cubic system has at least 13 limit cycles with the scheme $${\langle 1 \langle 6\amalg 6\rangle\rangle}$$ , i.e., we obtain that the Hilbert number H(3) ≥ 13. (3) For the Z 5-equivariant planar polynomial vector field of degree 5, we shown that such system has at least five symmetric centers if and only if it is a Hamltonian vector field. The characterization of a center problem is completely solved. The shortened expressions of the first four Lyapunov constants are given. Under small Z 5-equivariant perturbations, the conclusion that perturbed system has at least 25 limit cycles with the scheme $${\langle 5\amalg 5\amalg 5\amalg 5\amalg 5\rangle}$$ is rigorously proved. (4) For the Z 6-equivariant planar polynomial vector field of degree 5, we proved that such system has at least six symmetric centers if and only if it is a Hamltonian vector field. The characterization of a center problem is completely solved. The shortened expressions of the first four Lyapunov constants are given. Under small Z 6-equivariant perturbations, the conclusion that perturbed system has at least 24 limit cycles with the scheme $${\langle 4\amalg 4\amalg 4\amalg 4\amalg 4\amalg4\rangle}$$ is rigorously proved. Two schemes of distributions of limit cycles are given. read more

Topics:

Center (category theory) (61%)61% related to the paper, Degree (graph theory) (53%)53% related to the paper

72 Citations

Journal Article • DOI: 10.1007/S12346-015-0162-Z •

Exact Iterative Solution for an Abstract Fractional Dynamic System Model for Bioprocess

Xinguang Zhang¹, Xinguang Zhang², •

01 Apr 2017 - Qualitative Theory of Dynamical Systems

Abstract:

In this paper, we study a singular nonlocal fractional dynamic system arising in the abstract model for bioprocess. Conditions for the exact iterative solution to the problem are established, followed by development of an iterative technique for generating approximate solution to the problem. The iterative technique has been ... In this paper, we study a singular nonlocal fractional dynamic system arising in the abstract model for bioprocess. Conditions for the exact iterative solution to the problem are established, followed by development of an iterative technique for generating approximate solution to the problem. The iterative technique has been proved to give sequences converging uniformly to the exact solution, and formulate for estimation of the approximation error and the convergence rate have been derived. An example is also given in the paper to demonstrate the application of our theoretical results. read more

Topics:

Iterative method (63%)63% related to the paper, Rate of convergence (59%)59% related to the paper, Approximation error (56%)56% related to the paper

66 Citations

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13. What is Sherpa RoMEO Archiving Policy for Qualitative Theory of Dynamical Systems?

We extracted this data from Sherpa Romeo to help researchers understand the access level of this journal in accordance with the Sherpa Romeo Archiving Policy for Qualitative Theory of Dynamical Systems. The table below indicates the level of access a journal has as per Sherpa Romeo's archiving policy.

RoMEO Colour	Archiving policy
Green	Can archive pre-print and post-print or publisher's version/PDF
Blue	Can archive post-print (ie final draft post-refereeing) or publisher's version/PDF
Yellow	Can archive pre-print (ie pre-refereeing)
White	Archiving not formally supported

FYI:

Pre-prints as being the version of the paper before peer review and
Post-prints as being the version of the paper after peer-review, with revisions having been made.

14. What are the most common citation types In Qualitative Theory of Dynamical Systems?

The 5 most common citation types in order of usage for Qualitative Theory of Dynamical Systems are:.

S. No.	Citation Style Type
1.	Author Year
2.	Numbered
3.	Numbered (Superscripted)
4.	Author Year (Cited Pages)
5.	Footnote

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Journal Performance & Insights

Impact Factor

CiteRatio

1.4

2.1

Insights

Insights

SCImago Journal Rank (SJR)

Source Normalized Impact per Paper (SNIP)

0.469

0.929

Insights

Insights

Qualitative Theory of Dynamical Systems

Qualitative Theory of Dynamical Systems

Top papers written in this journal

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Abstract:

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Abstract:

Abstract:

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