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1
R H Abraham ,
H B Stewart , A chaotic blue
sky catastrophe in forced relaxation oscillations ,
Phys. D 21 (1986) 394 MR862266
2
M U Akhmet ,
M O Fen , Entrainment by
chaos , J. Nonlinear Sci. 24 (2014) 411 MR3215082
3
L Alsedà , J
Llibre , F Mañosas , M Misiurewicz , Lower bounds of the
topological entropy for continuous maps of the circle of degree
one , Nonlinearity 1 (1988) 463 MR955624
4
M C Arnaud , C
Bonatti , S Crovisier , Dynamiques
symplectiques génériques , Ergodic Theory Dynam. Systems
25 (2005) 1401 MR2173426
5
M Barge , R M
Gillette , Rotation and
periodicity in plane separating continua , Ergodic
Theory Dynam. Systems 11 (1991) 619 MR1145613
6
F Beguín ,
Ensembles de rotations des homéomorphismes du tore 𝕋 2 , lecture notes (2007)
7
G D Birkhoff ,
Sur quelques
courbes fermées remarquables , Bull. Soc. Math. France
60 (1932) 1 MR1504983
8
C Bonatti , S
Crovisier , Récurrence et
généricité , Invent. Math. 158 (2004) 33 MR2090361
9
C Bonatti , L J
Díaz , E R Pujals , A C 1 –generic dichotomy for diffeomorphisms :
weak forms of hyperbolicity or infinitely many sinks or
sources , Ann. of Math. 158 (2003) 355 MR2018925
10
J P Boroński ,
P Oprocha , Rotational chaos
and strange attractors on the 2 –torus , Math. Z. 279 (2015) 689
MR3318245
11
H W Broer ,
KAM
theory : the legacy of A N Kolmogorov’s 1954 paper ,
Bull. Amer. Math. Soc. 41 (2004) 507 MR2083638
12
A Chenciner ,
Poincaré and the
three-body problem , from: "Henri Poincaré, 1912–2012"
(editors B Duplantier, V Rivasseau), Prog. Math. Phys. 67,
Springer (2015) 51 MR3329413
13
S Crovisier ,
Perturbation of C 1 –diffeomorphisms and generic conservative
dynamics on surfaces , from: "Dynamique des difféomorphismes
conservatifs des surfaces : un point de vue topologique",
Panor. Synthèses 21, Soc. Math. France (2006) 1 MR2288283
14
J Franks , Necessary conditions for
stability of diffeomorphisms , Trans. Amer. Math. Soc.
158 (1971) 301 MR0283812
15
J Franks ,
Rotation vectors for surface diffeomorphisms , from:
"Proceedings of the International Congress of Mathematicians"
(editor S D Chatterji), Birkhäuser (1995) 1179 MR1404018
16
J Franks , M
Handel , Entropy zero area
preserving diffeomorphisms of S 2 , Geom. Topol. 16 (2012) 2187
MR3033517
17
J Franks , P Le
Calvez , Regions of
instability for non-twist maps , Ergodic Theory Dynam.
Systems 23 (2003) 111 MR1971199
18
M Girard , Sur les
courbes invariantes par un difféomorphisme C 1 –générique symplectique d’une
surface , PhD thesis, Université d’Avignon (2009)
19
J G Hocking ,
G S Young , Topology , Addison-Wesley (1961)
MR0125557
20
T Jäger , Linearization of
conservative toral homeomorphisms , Invent. Math. 176
(2009) 601 MR2501297
21
T Jäger , A
Passeggi , On torus homeomorphisms
semiconjugate to irrational rotations , Ergodic Theory
Dynam. Systems 35 (2015) 2114 MR3394110
22
A Katok , B
Hasselblatt , Introduction to the
modern theory of dynamical systems , 54, Cambridge Univ.
Press (1995) MR1326374
23
J Kennedy , J A
Yorke , Topological
horseshoes , Trans. Amer. Math. Soc. 353 (2001) 2513
MR1707195
24
A Koropecki ,
Realizing rotation
numbers on annular continua , Math. Z. 285 (2017) 549
MR3598824
25
A Koropecki , P Le
Calvez , M Nassiri , Prime ends rotation
numbers and periodic points , Duke Math. J. 164 (2015)
403 MR3314477
26
A Koropecki , A
Passeggi , A Poincaré–Bendixson theorem for translation
lines and applications to prime ends , preprint (2017)
arXiv:1701.04644
27
J M Kwapisz ,
Rotation sets
and entropy , PhD thesis, State University of New York
at Stony Brook (1995) MR2693427
28
P Le Calvez ,
Propriétés des
attracteurs de Birkhoff , Ergodic Theory Dynam. Systems
8 (1988) 241 MR951271
29
P Le Calvez ,
Une
version feuilletée équivariante du théorème de translation de
Brouwer , Publ. Math. Inst. Hautes Études Sci. 102
(2005) 1 MR2217051
30
P Le Calvez ,
F A Tal , Forcing theory for transverse
trajectories of surface homeomorphisms , preprint (2015)
arXiv:1503.09127
31
J Llibre , R S
MacKay , Rotation vectors
and entropy for homeomorphisms of the torus isotopic to the
identity , Ergodic Theory Dynam. Systems 11 (1991) 115
MR1101087
32
J N Mather ,
Topological proofs of some purely topological consequences
of Carathéodory’s theory of prime ends , from: "Selected
studies: physics-astrophysics, mathematics, history of science"
(editors T M Rassias, G M Rassias), North-Holland
(1982) 225 MR662863
33
S Matsumoto ,
Prime end
rotation numbers of invariant separating continua of annular
homeomorphisms , Proc. Amer. Math. Soc. 140 (2012) 839
MR2869068
34
J W Milnor ,
Attractor ,
Scholarpedia 1 (2006)
35
M Misiurewicz , K
Ziemian , Rotation sets for
maps of tori , J. London Math. Soc. 40 (1989) 490
MR1053617
36
M H A
Newman , Elements of the topology of plane sets of
points , Cambridge Univ. Press (1951) MR0044820
37
A Passeggi ,
Contributions in
surface dynamics: a classification of minimal sets of
homeomorphisms and aspects of the rotation theory on the
torus , PhD thesis, Friedrich-Alexander-Universität,
Erlangen (2013)
38
A Passeggi , J
Xavier , A classification of
minimal sets for surface homeomorphisms , Math. Z. 278
(2014) 1153 MR3278909
39
R Shaw , Strange attractors,
chaotic behavior, and information flow , Z. Naturforsch.
A 36 (1981) 80 MR604920
40
M Shub ,
All, most, some differentiable dynamical systems , from:
"Proceedings of the International Congress of Mathematicians"
(editors M Sanz-Solé, J Soria, J L Varona, J Verdera),
Eur. Math. Soc. (2006) 99 MR2275672
41
J M T
Thompson , H B Stewart , Nonlinear dynamics
and chaos , Wiley (2002) MR1963884
42
R B Walker ,
Periodicity and
decomposability of basin boundaries with irrational maps on
prime ends , Trans. Amer. Math. Soc. 324 (1991) 303
MR992609