Class information for:
Level 1: DOMINATED SPLITTING//HOMOCLINIC CLASS//PARTIAL HYPERBOLICITY

Basic class information
ID Publications Average number
of references		 Avg. shr. active
ref. in WoS
6825 1363 20.3 38%


Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 2)


ID, lev.
above		 Publications Label for level above
818 11292 ERGODIC THEORY AND DYNAMICAL SYSTEMS//NIELSEN NUMBERS//DOMINATED SPLITTING

Terms with highest relevance score


Rank Term Type of term Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 DOMINATED SPLITTING Author keyword 187 95% 4% 61
2 HOMOCLINIC CLASS Author keyword 111 100% 2% 32
3 PARTIAL HYPERBOLICITY Author keyword 77 80% 4% 48
4 HOMOCLINIC TANGENCY Author keyword 36 70% 2% 30
5 STABLE ERGODICITY Author keyword 27 92% 1% 11
6 PSEUDO ORBIT Author keyword 25 75% 1% 18
7 AXIOM A Author keyword 22 58% 2% 26
8 SHADOWING PROPERTY Author keyword 22 56% 2% 27
9 IMERL INGN Address 21 90% 1% 9
10 HOMOCLINIC CLASSES Author keyword 20 100% 1% 9

Web of Science journal categories

Author Key Words


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class		 LCSH search Wikipedia search
1 DOMINATED SPLITTING 187 95% 4% 61 Search DOMINATED+SPLITTING Search DOMINATED+SPLITTING
2 HOMOCLINIC CLASS 111 100% 2% 32 Search HOMOCLINIC+CLASS Search HOMOCLINIC+CLASS
3 PARTIAL HYPERBOLICITY 77 80% 4% 48 Search PARTIAL+HYPERBOLICITY Search PARTIAL+HYPERBOLICITY
4 HOMOCLINIC TANGENCY 36 70% 2% 30 Search HOMOCLINIC+TANGENCY Search HOMOCLINIC+TANGENCY
5 STABLE ERGODICITY 27 92% 1% 11 Search STABLE+ERGODICITY Search STABLE+ERGODICITY
6 PSEUDO ORBIT 25 75% 1% 18 Search PSEUDO+ORBIT Search PSEUDO+ORBIT
7 AXIOM A 22 58% 2% 26 Search AXIOM+A Search AXIOM+A
8 SHADOWING PROPERTY 22 56% 2% 27 Search SHADOWING+PROPERTY Search SHADOWING+PROPERTY
9 HOMOCLINIC CLASSES 20 100% 1% 9 Search HOMOCLINIC+CLASSES Search HOMOCLINIC+CLASSES
10 PARTIALLY HYPERBOLIC 20 100% 1% 9 Search PARTIALLY+HYPERBOLIC Search PARTIALLY+HYPERBOLIC

Key Words Plus


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 HOMOCLINIC TANGENCIES 77 74% 4% 57
2 CLOSING LEMMA 77 82% 3% 45
3 TANGENCIES 71 84% 3% 38
4 DIFFEOMORPHISMS 67 22% 20% 266
5 HETERODIMENSIONAL CYCLES 62 90% 2% 27
6 HOMOCLINIC CLASSES 61 95% 1% 20
7 CENTRAL DIRECTION 48 77% 2% 33
8 SATISFY AXIOM 34 93% 1% 13
9 HYPERBOLICITY 32 30% 7% 90
10 C 1 STABILITY 30 100% 1% 12

Journals


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 JOURNAL OF MODERN DYNAMICS 3 12% 2% 22
2 BOLETIM DA SOCIEDADE BRASILEIRA DE MATEMATICA 1 10% 0% 6

Reviews


Title Publ. year Cit. Active
references		 % act. ref.
to same field
A global perspective for non-conservative dynamics 2005 31 50 76%
Rank one chaos: Theory and applications 2008 8 20 65%
Fascination of chaos 2010 11 53 26%
Conservative flows with various types of shadowing 2015 0 28 96%
Mathematical theory of Lyapunov exponents 2013 1 26 50%
Fifty years of entropy in dynamics: 1958-2007 - Preface 2007 15 31 19%
On some mathematical topics in classical synchronization. A tutorial 2004 17 3 33%
Classification of three-dimensional quadratic diffeomorphisms with constant Jacobian 2009 0 7 43%
THE SPACE OF DYNAMIC-SYSTEMS WITH THE CO-TOPOLOGY 1990 0 3 100%

Address terms


Rank Address term Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 IMERL INGN 21 90% 0.7% 9
2 IMERL 8 36% 1.2% 17
3 PL MATH CYBERNET 3 15% 1.2% 17
4 CMAT 2 14% 1.2% 16
5 MATEMAT ESTADIST LITORAL 2 43% 0.2% 3
6 MATEMAT DECANATO CIENCIAS TECNOL 1 38% 0.2% 3
7 ESTGOH POLITECN COIMBRA 1 100% 0.1% 2
8 IMPA RIO DE JANEIRO 1 100% 0.1% 2
9 URM 5584 1 100% 0.1% 2
10 MATEMAT PURA 1 10% 0.8% 11

Related classes at same level (level 1)


Rank Relatedness score Related classes
1 0.0000125642 DECAY OF CORRELATIONS//FROBENIUS PERRON OPERATORS//ABSOLUTELY CONTINUOUS INVARIANT MEASURES
2 0.0000123245 SCRAMBLED SET//EXPANSIVE HOMEOMORPHISM//DISTRIBUTIONAL CHAOS
3 0.0000112228 GREEN CURRENT//BIRATIONAL MAPPINGS//BIRATIONAL TRANSFORMATIONS
4 0.0000111795 ORBIT FLIP//INCLINATION FLIP//CHUAS EQUATION
5 0.0000104932 CLIFFORD KLEIN FORM//COHOMOLOGICAL EQUATIONS//PROPERLY DISCONTINUOUS ACTION
6 0.0000097554 ROTATION SET//PLANAR HOMEOMORPHISM//SURFACE HOMEOMORPHISMS
7 0.0000087876 CONLEY INDEX//ISOLATED INVARIANT SET//RIGOROUS NUMERICS
8 0.0000083461 JULIA SET//JULIA SETS//FATOU SET
9 0.0000071684 NMS SYSTEMS//MORSE SMALE DIFFEOMORPHISM//MATH 4408
10 0.0000067079 HAUSDORFF DIMENSION//OPEN SET CONDITION//LIPSCHITZ EQUIVALENCE