Fractals

The investigation of phenomena involving complex geometry, patterns and scaling has gone through a spectacular development and applications in the past decades. For this relatively short time, geometrical and/or temporal scaling have been shown to represent the common aspects of many processes occurring in an unusually diverse range of fields including physics, mathematics, biology, chemistry, economics, engineering and technology, and human behavior. As a rule, the complex nature of a phenomenon is manifested in the underlying intricate geometry which in most of the cases can be described in terms of objects with non-integer (fractal) dimension. In other cases, the distribution of events in time or various other quantities show specific scaling behavior, thus providing a better understanding of the relevant factors determining the given processes. Using fractal geometry and scaling as a language in the related theoretical, numerical and experimental investigations, it has been possible to get a deeper insight into previously intractable problems. Among many others, a better understanding of growth phenomena, turbulence, iterative functions, colloidal aggregation, biological pattern formation, stock markets and inhomogeneous materials has emerged through the application of such concepts as scale invariance, self-affinity and multifractality. The main challenge of the journal devoted exclusively to the above kinds of phenomena lies in its interdisciplinary nature; it is our commitment to bring together the most recent developments in these fields so that a fruitful interaction of various approaches and scientific views on complex spatial and temporal behaviors in both nature and society could take place.

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Quartiles

The set of journals have been ranked according to their SJR and divided into four equal groups, four quartiles. Q1 (green) comprises the quarter of the journals with the highest values, Q2 (yellow) the second highest values, Q3 (orange) the third highest values and Q4 (red) the lowest values.

Category	Year	Quartile
Applied Mathematics	1999	Q3
Applied Mathematics	2000	Q2
Applied Mathematics	2001	Q3
Applied Mathematics	2002	Q3
Applied Mathematics	2003	Q3
Applied Mathematics	2004	Q3
Applied Mathematics	2005	Q3
Applied Mathematics	2006	Q3
Applied Mathematics	2007	Q3
Applied Mathematics	2008	Q3
Applied Mathematics	2009	Q3
Applied Mathematics	2010	Q3
Applied Mathematics	2011	Q3
Applied Mathematics	2012	Q3
Applied Mathematics	2013	Q4
Applied Mathematics	2014	Q3
Applied Mathematics	2015	Q3
Applied Mathematics	2016	Q3
Applied Mathematics	2017	Q3
Applied Mathematics	2018	Q2
Applied Mathematics	2019	Q2
Applied Mathematics	2020	Q2
Applied Mathematics	2021	Q2
Applied Mathematics	2022	Q2
Applied Mathematics	2023	Q2
Geometry and Topology	1999	Q3
Geometry and Topology	2000	Q3
Geometry and Topology	2001	Q3
Geometry and Topology	2002	Q3
Geometry and Topology	2003	Q4
Geometry and Topology	2004	Q3
Geometry and Topology	2005	Q4
Geometry and Topology	2006	Q4
Geometry and Topology	2007	Q4
Geometry and Topology	2008	Q3
Geometry and Topology	2009	Q3
Geometry and Topology	2010	Q3
Geometry and Topology	2011	Q4
Geometry and Topology	2012	Q4
Geometry and Topology	2013	Q4
Geometry and Topology	2014	Q4
Geometry and Topology	2015	Q3
Geometry and Topology	2016	Q3
Geometry and Topology	2017	Q3
Geometry and Topology	2018	Q2
Geometry and Topology	2019	Q2
Geometry and Topology	2020	Q2
Geometry and Topology	2021	Q2
Geometry and Topology	2022	Q2
Geometry and Topology	2023	Q2
Modeling and Simulation	1999	Q2
Modeling and Simulation	2000	Q2
Modeling and Simulation	2001	Q3
Modeling and Simulation	2002	Q2
Modeling and Simulation	2003	Q3
Modeling and Simulation	2004	Q2
Modeling and Simulation	2005	Q2
Modeling and Simulation	2006	Q3
Modeling and Simulation	2007	Q3
Modeling and Simulation	2008	Q3
Modeling and Simulation	2009	Q3
Modeling and Simulation	2010	Q3
Modeling and Simulation	2011	Q3
Modeling and Simulation	2012	Q3
Modeling and Simulation	2013	Q3
Modeling and Simulation	2014	Q3
Modeling and Simulation	2015	Q3
Modeling and Simulation	2016	Q2
Modeling and Simulation	2017	Q3
Modeling and Simulation	2018	Q2
Modeling and Simulation	2019	Q2
Modeling and Simulation	2020	Q2
Modeling and Simulation	2021	Q2
Modeling and Simulation	2022	Q2
Modeling and Simulation	2023	Q2
Multidisciplinary	1999	Q1
Multidisciplinary	2000	Q1
Multidisciplinary	2001	Q1
Multidisciplinary	2002	Q1
Multidisciplinary	2003	Q1
Multidisciplinary	2004	Q1
Multidisciplinary	2005	Q1
Multidisciplinary	2006	Q1
Multidisciplinary	2007	Q1
Multidisciplinary	2008	Q1
Multidisciplinary	2009	Q1
Multidisciplinary	2010	Q1
Multidisciplinary	2011	Q1
Multidisciplinary	2012	Q2
Multidisciplinary	2013	Q1
Multidisciplinary	2014	Q2
Multidisciplinary	2015	Q1
Multidisciplinary	2016	Q1
Multidisciplinary	2017	Q1
Multidisciplinary	2018	Q1
Multidisciplinary	2019	Q1
Multidisciplinary	2020	Q1
Multidisciplinary	2021	Q1
Multidisciplinary	2022	Q1
Multidisciplinary	2023	Q1

SJR

The SJR is a size-independent prestige indicator that ranks journals by their 'average prestige per article'. It is based on the idea that 'all citations are not created equal'. SJR is a measure of scientific influence of journals that accounts for both the number of citations received by a journal and the importance or prestige of the journals where such citations come from It measures the scientific influence of the average article in a journal, it expresses how central to the global scientific discussion an average article of the journal is.

Year	SJR
1999	0.495
2000	0.552
2001	0.413
2002	0.509
2003	0.417
2004	0.446
2005	0.459
2006	0.365
2007	0.326
2008	0.352
2009	0.394
2010	0.289
2011	0.375
2012	0.277
2013	0.298
2014	0.300
2015	0.423
2016	0.459
2017	0.408
2018	0.556
2019	0.735
2020	0.654
2021	0.639
2022	0.600
2023	0.673

Total Documents

Evolution of the number of published documents. All types of documents are considered, including citable and non citable documents.

Year	Documents
1999	42
2000	44
2001	41
2002	47
2003	76
2004	37
2005	27
2006	35
2007	37
2008	37
2009	49
2010	47
2011	42
2012	26
2013	24
2014	28
2015	62
2016	56
2017	81
2018	116
2019	158
2020	197
2021	311
2022	463
2023	320

Citations per document

This indicator counts the number of citations received by documents from a journal and divides them by the total number of documents published in that journal. The chart shows the evolution of the average number of times documents published in a journal in the past two, three and four years have been cited in the current year. The two years line is equivalent to journal impact factor ™ (Thomson Reuters) metric.

Cites per document	Year	Value
Cites / Doc. (4 years)	1999	0.653
Cites / Doc. (4 years)	2000	0.690
Cites / Doc. (4 years)	2001	0.816
Cites / Doc. (4 years)	2002	0.724
Cites / Doc. (4 years)	2003	0.897
Cites / Doc. (4 years)	2004	0.865
Cites / Doc. (4 years)	2005	0.871
Cites / Doc. (4 years)	2006	0.743
Cites / Doc. (4 years)	2007	0.737
Cites / Doc. (4 years)	2008	0.625
Cites / Doc. (4 years)	2009	0.787
Cites / Doc. (4 years)	2010	0.513
Cites / Doc. (4 years)	2011	0.600
Cites / Doc. (4 years)	2012	0.503
Cites / Doc. (4 years)	2013	0.817
Cites / Doc. (4 years)	2014	0.942
Cites / Doc. (4 years)	2015	1.350
Cites / Doc. (4 years)	2016	1.614
Cites / Doc. (4 years)	2017	1.806
Cites / Doc. (4 years)	2018	2.784
Cites / Doc. (4 years)	2019	3.470
Cites / Doc. (4 years)	2020	3.345
Cites / Doc. (4 years)	2021	4.062
Cites / Doc. (4 years)	2022	3.928
Cites / Doc. (4 years)	2023	3.531
Cites / Doc. (3 years)	1999	0.653
Cites / Doc. (3 years)	2000	0.833
Cites / Doc. (3 years)	2001	0.791
Cites / Doc. (3 years)	2002	0.780
Cites / Doc. (3 years)	2003	0.955
Cites / Doc. (3 years)	2004	0.738
Cites / Doc. (3 years)	2005	0.706
Cites / Doc. (3 years)	2006	0.736
Cites / Doc. (3 years)	2007	0.869
Cites / Doc. (3 years)	2008	0.586
Cites / Doc. (3 years)	2009	0.725
Cites / Doc. (3 years)	2010	0.488
Cites / Doc. (3 years)	2011	0.579
Cites / Doc. (3 years)	2012	0.486
Cites / Doc. (3 years)	2013	0.826
Cites / Doc. (3 years)	2014	1.087
Cites / Doc. (3 years)	2015	1.577
Cites / Doc. (3 years)	2016	1.561
Cites / Doc. (3 years)	2017	1.890
Cites / Doc. (3 years)	2018	2.925
Cites / Doc. (3 years)	2019	3.877
Cites / Doc. (3 years)	2020	3.639
Cites / Doc. (3 years)	2021	4.100
Cites / Doc. (3 years)	2022	4.186
Cites / Doc. (3 years)	2023	3.667
Cites / Doc. (2 years)	1999	0.817
Cites / Doc. (2 years)	2000	0.753
Cites / Doc. (2 years)	2001	0.802
Cites / Doc. (2 years)	2002	0.824
Cites / Doc. (2 years)	2003	0.795
Cites / Doc. (2 years)	2004	0.512
Cites / Doc. (2 years)	2005	0.717
Cites / Doc. (2 years)	2006	0.766
Cites / Doc. (2 years)	2007	0.710
Cites / Doc. (2 years)	2008	0.458
Cites / Doc. (2 years)	2009	0.662
Cites / Doc. (2 years)	2010	0.384
Cites / Doc. (2 years)	2011	0.604
Cites / Doc. (2 years)	2012	0.483
Cites / Doc. (2 years)	2013	0.706
Cites / Doc. (2 years)	2014	1.380
Cites / Doc. (2 years)	2015	1.654
Cites / Doc. (2 years)	2016	1.578
Cites / Doc. (2 years)	2017	1.822
Cites / Doc. (2 years)	2018	3.248
Cites / Doc. (2 years)	2019	4.437
Cites / Doc. (2 years)	2020	3.558
Cites / Doc. (2 years)	2021	4.482
Cites / Doc. (2 years)	2022	4.598
Cites / Doc. (2 years)	2023	3.751

Total Cites

Self-Cites

Evolution of the total number of citations and journal's self-citations received by a journal's published documents during the three previous years.
Journal Self-citation is defined as the number of citation from a journal citing article to articles published by the same journal.

Cites	Year	Value
Self Cites	1999	12
Self Cites	2000	22
Self Cites	2001	12
Self Cites	2002	10
Self Cites	2003	16
Self Cites	2004	6
Self Cites	2005	8
Self Cites	2006	7
Self Cites	2007	9
Self Cites	2008	9
Self Cites	2009	12
Self Cites	2010	7
Self Cites	2011	16
Self Cites	2012	5
Self Cites	2013	6
Self Cites	2014	7
Self Cites	2015	46
Self Cites	2016	71
Self Cites	2017	99
Self Cites	2018	172
Self Cites	2019	330
Self Cites	2020	293
Self Cites	2021	538
Self Cites	2022	596
Self Cites	2023	791
Total Cites	1999	124
Total Cites	2000	140
Total Cites	2001	102
Total Cites	2002	99
Total Cites	2003	126
Total Cites	2004	121
Total Cites	2005	113
Total Cites	2006	103
Total Cites	2007	86
Total Cites	2008	58
Total Cites	2009	79
Total Cites	2010	60
Total Cites	2011	77
Total Cites	2012	67
Total Cites	2013	95
Total Cites	2014	100
Total Cites	2015	123
Total Cites	2016	178
Total Cites	2017	276
Total Cites	2018	582
Total Cites	2019	981
Total Cites	2020	1292
Total Cites	2021	1931
Total Cites	2022	2788
Total Cites	2023	3561

External Cites per Doc

Cites per Doc

Evolution of the number of total citation per document and external citation per document (i.e. journal self-citations removed) received by a journal's published documents during the three previous years. External citations are calculated by subtracting the number of self-citations from the total number of citations received by the journal’s documents.

Cites	Year	Value
External Cites per document	1999	0.589
External Cites per document	2000	0.702
External Cites per document	2001	0.698
External Cites per document	2002	0.701
External Cites per document	2003	0.833
External Cites per document	2004	0.701
External Cites per document	2005	0.656
External Cites per document	2006	0.686
External Cites per document	2007	0.778
External Cites per document	2008	0.495
External Cites per document	2009	0.615
External Cites per document	2010	0.431
External Cites per document	2011	0.459
External Cites per document	2012	0.449
External Cites per document	2013	0.774
External Cites per document	2014	1.011
External Cites per document	2015	0.987
External Cites per document	2016	0.939
External Cites per document	2017	1.212
External Cites per document	2018	2.060
External Cites per document	2019	2.573
External Cites per document	2020	2.814
External Cites per document	2021	2.958
External Cites per document	2022	3.291
External Cites per document	2023	2.853
Cites per document	1999	0.653
Cites per document	2000	0.833
Cites per document	2001	0.791
Cites per document	2002	0.780
Cites per document	2003	0.955
Cites per document	2004	0.738
Cites per document	2005	0.706
Cites per document	2006	0.736
Cites per document	2007	0.869
Cites per document	2008	0.586
Cites per document	2009	0.725
Cites per document	2010	0.488
Cites per document	2011	0.579
Cites per document	2012	0.486
Cites per document	2013	0.826
Cites per document	2014	1.087
Cites per document	2015	1.577
Cites per document	2016	1.561
Cites per document	2017	1.890
Cites per document	2018	2.925
Cites per document	2019	3.877
Cites per document	2020	3.639
Cites per document	2021	4.100
Cites per document	2022	4.186
Cites per document	2023	3.667

% International Collaboration

International Collaboration accounts for the articles that have been produced by researchers from several countries. The chart shows the ratio of a journal's documents signed by researchers from more than one country; that is including more than one country address.

Year	International Collaboration
1999	23.81
2000	20.45
2001	24.39
2002	25.53
2003	32.89
2004	29.73
2005	18.52
2006	22.86
2007	21.62
2008	10.81
2009	14.29
2010	17.02
2011	9.52
2012	19.23
2013	20.83
2014	10.71
2015	25.81
2016	19.64
2017	20.99
2018	28.45
2019	15.82
2020	33.50
2021	28.30
2022	56.59
2023	52.19

Citable documents

Non-citable documents

Not every article in a journal is considered primary research and therefore "citable", this chart shows the ratio of a journal's articles including substantial research (research articles, conference papers and reviews) in three year windows vs. those documents other than research articles, reviews and conference papers.

Documents	Year	Value
Non-citable documents	1999	0
Non-citable documents	2000	0
Non-citable documents	2001	0
Non-citable documents	2002	0
Non-citable documents	2003	0
Non-citable documents	2004	0
Non-citable documents	2005	1
Non-citable documents	2006	1
Non-citable documents	2007	1
Non-citable documents	2008	0
Non-citable documents	2009	0
Non-citable documents	2010	0
Non-citable documents	2011	0
Non-citable documents	2012	0
Non-citable documents	2013	0
Non-citable documents	2014	0
Non-citable documents	2015	0
Non-citable documents	2016	0
Non-citable documents	2017	0
Non-citable documents	2018	0
Non-citable documents	2019	0
Non-citable documents	2020	1
Non-citable documents	2021	2
Non-citable documents	2022	3
Non-citable documents	2023	6
Citable documents	1999	190
Citable documents	2000	168
Citable documents	2001	129
Citable documents	2002	127
Citable documents	2003	132
Citable documents	2004	164
Citable documents	2005	159
Citable documents	2006	139
Citable documents	2007	98
Citable documents	2008	99
Citable documents	2009	109
Citable documents	2010	123
Citable documents	2011	133
Citable documents	2012	138
Citable documents	2013	115
Citable documents	2014	92
Citable documents	2015	78
Citable documents	2016	114
Citable documents	2017	146
Citable documents	2018	199
Citable documents	2019	253
Citable documents	2020	354
Citable documents	2021	469
Citable documents	2022	663
Citable documents	2023	965

Cited documents

Uncited documents

Ratio of a journal's items, grouped in three years windows, that have been cited at least once vs. those not cited during the following year.

Documents	Year	Value
Uncited documents	1999	122
Uncited documents	2000	99
Uncited documents	2001	83
Uncited documents	2002	80
Uncited documents	2003	72
Uncited documents	2004	117
Uncited documents	2005	95
Uncited documents	2006	92
Uncited documents	2007	53
Uncited documents	2008	70
Uncited documents	2009	63
Uncited documents	2010	91
Uncited documents	2011	81
Uncited documents	2012	93
Uncited documents	2013	69
Uncited documents	2014	47
Uncited documents	2015	30
Uncited documents	2016	41
Uncited documents	2017	47
Uncited documents	2018	65
Uncited documents	2019	76
Uncited documents	2020	115
Uncited documents	2021	127
Uncited documents	2022	172
Uncited documents	2023	288
Cited documents	1999	68
Cited documents	2000	69
Cited documents	2001	46
Cited documents	2002	47
Cited documents	2003	60
Cited documents	2004	47
Cited documents	2005	65
Cited documents	2006	48
Cited documents	2007	46
Cited documents	2008	29
Cited documents	2009	46
Cited documents	2010	32
Cited documents	2011	52
Cited documents	2012	45
Cited documents	2013	46
Cited documents	2014	45
Cited documents	2015	48
Cited documents	2016	73
Cited documents	2017	99
Cited documents	2018	134
Cited documents	2019	177
Cited documents	2020	240
Cited documents	2021	344
Cited documents	2022	494
Cited documents	2023	683