-
1
-
-
0003227676
-
Combinatorial dynamics and entropy in dimension one
-
World Scientific, Singapore
-
Alsedà, L., Llibre, J. & Misiurewicz, M. [1993] Combinatorial Dynamics and Entropy in Dimension One, Advanced Series in Nonlinear Dynamics 5 (World Scientific, Singapore).
-
(1993)
Advanced Series in Nonlinear Dynamics
, vol.5
-
-
Alsedà, L.1
Llibre, J.2
Misiurewicz, M.3
-
2
-
-
0002649414
-
Periodic points of one-dimensional maps
-
Block, L., Guckenheimer, J., Misiurewicz, M. & Young L.-S. [1980] "Periodic points of one-dimensional maps," Lecture Notes in Mathematics 819, pp. 18-34.
-
(1980)
Lecture Notes in Mathematics
, vol.819
, pp. 18-34
-
-
Block, L.1
Guckenheimer, J.2
Misiurewicz, M.3
Young, L.-S.4
-
3
-
-
0039141003
-
Rotation numbers, twists and a Šarkovskiǐ-Misiurewicz-type ordering for patterns on interval
-
Blokh, A. [1995] "Rotation numbers, twists and a Šarkovskiǐ-Misiurewicz-type ordering for patterns on interval," Ergod. Th. Dyn. Syst. 15, 1-14.
-
(1995)
Ergod. Th. Dyn. Syst.
, vol.15
, pp. 1-14
-
-
Blokh, A.1
-
4
-
-
0031534946
-
New order for periodic orbits of interval maps
-
Blokh, A. & Misiurewicz, M. [1997] "New order for periodic orbits of interval maps," Ergod. Th. Dyn. Syst. 17, 565-574.
-
(1997)
Ergod. Th. Dyn. Syst.
, vol.17
, pp. 565-574
-
-
Blokh, A.1
Misiurewicz, M.2
-
5
-
-
0001482567
-
Topological methods in surface dynamics
-
Boyland, P. [1994] "Topological methods in surface dynamics," Top. Appl. 58, 223-298.
-
(1994)
Top. Appl.
, vol.58
, pp. 223-298
-
-
Boyland, P.1
-
8
-
-
0031063208
-
Positive topological entropy of Chua's circuit: A computer assisted proof
-
Galias, Z. [1997] "Positive topological entropy of Chua's circuit: A computer assisted proof," Int. J. Bifurcation and Chaos 2, 331-349.
-
(1997)
Int. J. Bifurcation and Chaos
, vol.2
, pp. 331-349
-
-
Galias, Z.1
-
9
-
-
0007431667
-
Rigorous numerical studies of the existence of periodic orbits for the Hénon map
-
Galias, Z. [1998] "Rigorous numerical studies of the existence of periodic orbits for the Hénon map," J. Universal Comput. Sci. 4(2), 114-124.
-
(1998)
J. Universal Comput. Sci.
, vol.4
, Issue.2
, pp. 114-124
-
-
Galias, Z.1
-
10
-
-
0001201892
-
Computer assisted proof of chaos in the Lorenz system
-
Galias, Z. & Zgliczyński, P. [1998] "Computer assisted proof of chaos in the Lorenz system," Physica D115, 165-188.
-
(1998)
Physica
, vol.D115
, pp. 165-188
-
-
Galias, Z.1
Zgliczyński, P.2
-
11
-
-
0000499166
-
The Leray-Schauder index and the fixed point theory for arbitrary ANR's
-
Granas, A. [1972] "The Leray-Schauder index and the fixed point theory for arbitrary ANR's," Bull. Soc. Math. France 100, 209-228.
-
(1972)
Bull. Soc. Math. France
, vol.100
, pp. 209-228
-
-
Granas, A.1
-
13
-
-
0006732807
-
Vers un ordre de Sarkovskii pour les plongements du disque preservant l'orientation
-
Gambaudo, J. M., van Strien, S. & Tresser, C. [1990] "Vers un ordre de Sarkovskii pour les plongements du disque preservant l'orientation," Comptes Rendus, série I 310, 291-294.
-
(1990)
Comptes Rendus, Série I
, vol.310
, pp. 291-294
-
-
Gambaudo, J.M.1
Van Strien, S.2
Tresser, C.3
-
14
-
-
0000997452
-
The creation of horseshoes
-
Hall, T. [1994] "The creation of horseshoes," Nonlinearity 7, 861-924.
-
(1994)
Nonlinearity
, vol.7
, pp. 861-924
-
-
Hall, T.1
-
15
-
-
0002591468
-
A two-dimensional mapping with a strange attractor
-
Hénon, M. [1976] "A two-dimensional mapping with a strange attractor," Commun. Math. Phys. 50, 69-77.
-
(1976)
Commun. Math. Phys.
, vol.50
, pp. 69-77
-
-
Hénon, M.1
-
16
-
-
0021425807
-
Bifurcations of one and two dimensional maps
-
Holmes. P. J. & Whitley, D. C. [1984] "Bifurcations of one and two dimensional maps," Phil. Trans. R. Soc. London A311, 43-102.
-
(1984)
Phil. Trans. R. Soc. London
, vol.A311
, pp. 43-102
-
-
Holmes, P.J.1
Whitley, D.C.2
-
17
-
-
0037955133
-
Periodic orbits of period 3 in the disc
-
Kolev, B. [1994] "Periodic orbits of period 3 in the disc," Nonlinearity 7, 1067-1071.
-
(1994)
Nonlinearity
, vol.7
, pp. 1067-1071
-
-
Kolev, B.1
-
18
-
-
84973984828
-
On Sharkovsky's cycle coexistence ordering
-
Kloeden, P. E. [1979] "On Sharkovsky's cycle coexistence ordering," Bull. Aust. Math. Soc. 20, 171-178.
-
(1979)
Bull. Aust. Math. Soc.
, vol.20
, pp. 171-178
-
-
Kloeden, P.E.1
-
19
-
-
0000100336
-
Period three implies chaos
-
Li, T. Y. & Yorke, J. A. [1975] "Period three implies chaos," Am. Math. Monthly 82, 985-992.
-
(1975)
Am. Math. Monthly
, vol.82
, pp. 985-992
-
-
Li, T.Y.1
Yorke, J.A.2
-
20
-
-
0000958222
-
Isolating neighborhoods and chaos
-
Mischaikow, K. & Mrozek, M. [1995a] "Isolating neighborhoods and chaos," JJIAM 12, 205-236.
-
(1995)
JJIAM
, vol.12
, pp. 205-236
-
-
Mischaikow, K.1
Mrozek, M.2
-
21
-
-
0002403778
-
Chaos in the Lorenz equations: A computer assisted proof
-
Mischaikow, K. & Mrozek, M. [1995b] "Chaos in the Lorenz equations: A computer assisted proof," Bull. AMS 32, 66-72.
-
(1995)
Bull. AMS
, vol.32
, pp. 66-72
-
-
Mischaikow, K.1
Mrozek, M.2
-
23
-
-
49549126801
-
An equation for continuous chaos
-
Rössler, O. E. [1976] "An equation for continuous chaos," Phys. Lett. 57A, 397-398.
-
(1976)
Phys. Lett.
, vol.57 A
, pp. 397-398
-
-
Rössler, O.E.1
-
24
-
-
0002072428
-
Coexistence of cycles of a continuous map of a line into itself
-
in Russian
-
Šarkovskiǐ, A. N. [1964] "Coexistence of cycles of a continuous map of a line into itself," Ukr. Math. Z. 16, 61-71 (in Russian).
-
(1964)
Ukr. Math. Z.
, vol.16
, pp. 61-71
-
-
Šarkovskiǐ, A.N.1
-
25
-
-
0038688307
-
Coexistence of cycles of a continuous map of a line into itself
-
Šarkovskiǐ, A. N. [1995] "Coexistence of cycles of a continuous map of a line into itself," Int. J. Bifurcation and Chaos 5, 1263-1274.
-
(1995)
Int. J. Bifurcation and Chaos
, vol.5
, pp. 1263-1274
-
-
Šarkovskiǐ, A.N.1
-
26
-
-
84968514104
-
Differentiable dynamical systems
-
Smale, S. [1967] "Differentiable dynamical systems," Bull. Am. Math. Soc. 73, 747-817.
-
(1967)
Bull. Am. Math. Soc.
, vol.73
, pp. 747-817
-
-
Smale, S.1
-
27
-
-
0001371112
-
A theorem of Sarkovskii on the existence of periodic orbits of continous endomorphism of the real line
-
Stefan, P. [1977] "A theorem of Sarkovskii on the existence of periodic orbits of continous endomorphism of the real line," Commun. Math. Phys. 54, 237-248.
-
(1977)
Commun. Math. Phys.
, vol.54
, pp. 237-248
-
-
Stefan, P.1
-
28
-
-
21944433587
-
A combinatorial procedure for finding isolating neighbourhoods and index pairs
-
Szymczak, A. [1997] "A combinatorial procedure for finding isolating neighbourhoods and index pairs," Proc. R. Soc. Edinburgh A127(5), 1075-1088.
-
(1997)
Proc. R. Soc. Edinburgh
, vol.A127
, Issue.5
, pp. 1075-1088
-
-
Szymczak, A.1
-
29
-
-
84968476184
-
On the geometry and dynamics of diffeomorphism of surfaces
-
Thurston, W. P. [1988] "On the geometry and dynamics of diffeomorphism of surfaces," Bull. AMS 19, 417-431.
-
(1988)
Bull. AMS
, vol.19
, pp. 417-431
-
-
Thurston, W.P.1
-
30
-
-
0040307243
-
On the bifurcations creating horse-shoes
-
Dynamical Systems and Turbulence
-
van Strien, S. [1981] "On the bifurcations creating horse-shoes," Dynamical Systems and Turbulence, Lecture Notes in Mathematics 898, pp. 316-351.
-
(1981)
Lecture Notes in Mathematics
, vol.898
, pp. 316-351
-
-
Van Strien, S.1
-
31
-
-
0000527735
-
Fixed point index for iterations of maps, topological horseshoe and chaos
-
Zgliczyński, P. [1996] "Fixed point index for iterations of maps, topological horseshoe and chaos," Top. Meth. Non. Anal. 8, 169-177.
-
(1996)
Top. Meth. Non. Anal.
, vol.8
, pp. 169-177
-
-
Zgliczyński, P.1
-
32
-
-
0041540896
-
Computer assisted proof of chaos in the Hénon map and in the Rössler equations
-
Zgliczyński, P. [1997a] "Computer assisted proof of chaos in the Hénon map and in the Rössler equations," Nonlinearity 10, 243-252.
-
(1997)
Nonlinearity
, vol.10
, pp. 243-252
-
-
Zgliczyński, P.1
-
33
-
-
26544442273
-
Šarkovskiǐ's theorem for multidimensional perturbations of 1-dim maps
-
accepted
-
Zgliczyński, P. [1997b] "Šarkovskiǐ's theorem for multidimensional perturbations of 1-dim maps," Ergod. Th. Dyn. Syst., accepted.
-
(1997)
Ergod. Th. Dyn. Syst.
-
-
Zgliczyński, P.1
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