-
1
-
-
0009829552
-
Period doubling bifurcations and chaos in W Virginis models
-
J. R. Buchler and G. Kovács, "Period doubling bifurcations and chaos in W Virginis models," Astrophy. J. Lett. 320, L57-L62 (1987).
-
(1987)
Astrophy. J. Lett.
, vol.320
-
-
Buchler, J.R.1
Kovács, G.2
-
2
-
-
4244148684
-
Regular and irregular nonlinear pulsations in population II Cepheid models
-
G. Kovács and J. R. Buchler, "Regular and irregular nonlinear pulsations in population II Cepheid models," Astrophys. J. 334, 971-994 (1988).
-
(1988)
Astrophys. J.
, vol.334
, pp. 971-994
-
-
Kovács, G.1
Buchler, J.R.2
-
3
-
-
0025822453
-
Chaotic pulsations in stellar models
-
J. R. Buchler, "Chaotic pulsations in stellar models," Ann. N.Y. Acad. Sci. 617, 17-36 (1990).
-
(1990)
Ann. N.Y. Acad. Sci.
, vol.617
, pp. 17-36
-
-
Buchler, J.R.1
-
4
-
-
35949021230
-
Geometry from a time series
-
N. H. Packard, J. P. Crutchfield, J. D. Farmer, and R. S. Shaw, "Geometry from a time series," Phys. Rev. Lett. 45, 712-716 (1980). The ideas here discussed were also put forward by Ruelle and Takens (not published).
-
(1980)
Phys. Rev. Lett.
, vol.45
, pp. 712-716
-
-
Packard, N.H.1
Crutchfield, J.P.2
Farmer, J.D.3
Shaw, R.S.4
-
5
-
-
0001024141
-
Classification of strange attractors by integers
-
G. B. Mindlin, X. J. Hou, H. G. Solari, R. Gilmore, and N. B. Tufillaro, "Classification of strange attractors by integers," Phys. Rev. Lett. 64, 2350-2353 (1990).
-
(1990)
Phys. Rev. Lett.
, vol.64
, pp. 2350-2353
-
-
Mindlin, G.B.1
Hou, X.J.2
Solari, H.G.3
Gilmore, R.4
Tufillaro, N.B.5
-
7
-
-
49549126801
-
An equation for continuous chaos
-
O. E. Rössler, "An equation for continuous chaos," Phys. Lett. A 57, 397-398 (1976).
-
(1976)
Phys. Lett. A
, vol.57
, pp. 397-398
-
-
Rössler, O.E.1
-
8
-
-
0001881608
-
Knotted periodic orbits in dynamical systems: Lorenz's equations
-
J. S. Birman and R. F. Williams, "Knotted periodic orbits in dynamical systems: Lorenz's equations," Topology 22, 47-82 (1983).
-
(1983)
Topology
, vol.22
, pp. 47-82
-
-
Birman, J.S.1
Williams, R.F.2
-
9
-
-
0000673432
-
Templates and framed braids
-
P. Melvin and N. B. Tufillaro, "Templates and framed braids," Phys. Rev. A 44, 3419-3422 (1991).
-
(1991)
Phys. Rev. A
, vol.44
, pp. 3419-3422
-
-
Melvin, P.1
Tufillaro, N.B.2
-
10
-
-
36448999925
-
Unstable periodic orbits and templates of the Rössler system: Toward a systematic topological characterization
-
C. Letellier, P. Dutertre, and B. Maheu, "Unstable periodic orbits and templates of the Rössler system: Toward a systematic topological characterization," Chaos 5, 271-282 (1995).
-
(1995)
Chaos
, vol.5
, pp. 271-282
-
-
Letellier, C.1
Dutertre, P.2
Maheu, B.3
-
12
-
-
0000997452
-
The creation of horseshoes
-
T. Hall, "The creation of horseshoes," Nonlinearity 7, 861-924 (1994).
-
(1994)
Nonlinearity
, vol.7
, pp. 861-924
-
-
Hall, T.1
-
13
-
-
0000192492
-
Topological time series analysis of a string experiment and its synchronized model
-
N. B. Tufillaro, P. Wyckoff, R. Brown, T. Schreiber, and T. Molteno, "Topological time series analysis of a string experiment and its synchronized model," Phys. Rev. E 51, 164-174 (1995).
-
(1995)
Phys. Rev. E
, vol.51
, pp. 164-174
-
-
Tufillaro, N.B.1
Wyckoff, P.2
Brown, R.3
Schreiber, T.4
Molteno, T.5
-
14
-
-
0002309889
-
Dynamics of strongly dissipative systems
-
H. P. Fang, "Dynamics of strongly dissipative systems," Phys. Rev. E 49, 5025-5031 (1994).
-
(1994)
Phys. Rev. E
, vol.49
, pp. 5025-5031
-
-
Fang, H.P.1
-
15
-
-
5544234625
-
Topological and metric properties of Héon-type map strange attractors
-
P. Cvitanović, M. Gunaratne, and I. Procaccia, "Topological and metric properties of Héon-type map strange attractors," Phys. Rev. A 38, 1503-1520 (1988).
-
(1988)
Phys. Rev. A
, vol.38
, pp. 1503-1520
-
-
Cvitanović, P.1
Gunaratne, M.2
Procaccia, I.3
-
16
-
-
0000848698
-
On iterated maps of the interval
-
J. Milnor and W. Thurston, "On iterated maps of the interval," Lect. Notes Math. 1342, 465-563 (1988).
-
(1988)
Lect. Notes Math.
, vol.1342
, pp. 465-563
-
-
Milnor, J.1
Thurston, W.2
-
17
-
-
0001040815
-
Algebraic evaluation of linking numbers of unstable periodic orbits in chaotic attractors
-
L. Le Sceller, C. Letellier, and G. Gouesbet, "Algebraic evaluation of linking numbers of unstable periodic orbits in chaotic attractors," Phys. Rev. E 49, 4693-4695 (1994).
-
(1994)
Phys. Rev. E
, vol.49
, pp. 4693-4695
-
-
Le Sceller, L.1
Letellier, C.2
Gouesbet, G.3
-
18
-
-
0347110444
-
Topological analysis of chaotic time series data from the BelousovZhabotinski reaction
-
G. B. Mindlin, H. G. Solari, M. A. Natiello, R. Gilmore, and X. J. Hou, "Topological analysis of chaotic time series data from the BelousovZhabotinski reaction." J. Nonlinear Sci. 1, 147-173 (1991).
-
(1991)
J. Nonlinear Sci.
, vol.1
, pp. 147-173
-
-
Mindlin, G.B.1
Solari, H.G.2
Natiello, M.A.3
Gilmore, R.4
Hou, X.J.5
-
19
-
-
0001678691
-
Search for low dimensional chaos in variable stars - The global polynomial phase space reconstruction method
-
T. Serre, Z. Kolláth, and J. R. Buchler, "Search for low dimensional chaos in variable stars - the global polynomial phase space reconstruction method," Astron. Astrophys. 311, 833-844 (1986); ibid. 311, 845-851 (1986).
-
(1986)
Astron. Astrophys.
, vol.311
, pp. 833-844
-
-
Serre, T.1
Kolláth, Z.2
Buchler, J.R.3
-
20
-
-
0001678691
-
-
T. Serre, Z. Kolláth, and J. R. Buchler, "Search for low dimensional chaos in variable stars - the global polynomial phase space reconstruction method," Astron. Astrophys. 311, 833-844 (1986); ibid. 311, 845-851 (1986).
-
(1986)
Astron. Astrophys.
, vol.311
, pp. 845-851
-
-
-
21
-
-
44049117992
-
An analytic approach to practical state space reconstruction
-
J. F. Gibson, J. D. Farmer, M. Casdagli, and S. Eubank, "An analytic approach to practical state space reconstruction," Physica D 57, 1-30 (1992).
-
(1992)
Physica D
, vol.57
, pp. 1-30
-
-
Gibson, J.F.1
Farmer, J.D.2
Casdagli, M.3
Eubank, S.4
-
22
-
-
36149031123
-
On the symbolic dynamics of the Hénon map
-
P. Grassberger, H. Kantz, and U. Moening, "On the symbolic dynamics of the Hénon map," J. Phys. A 22, 5217-5230 (1989).
-
(1989)
J. Phys. A
, vol.22
, pp. 5217-5230
-
-
Grassberger, P.1
Kantz, H.2
Moening, U.3
-
23
-
-
21844482108
-
Universal bifurcation property of two- Or higher-dimensional dissipative systems in parameter space: Why does ID symbolic dynamics work so well?
-
H. P. Fang, "Universal bifurcation property of two- or higher-dimensional dissipative systems in parameter space: Why does ID symbolic dynamics work so well?," J. Phys. A 28, 3901-3910 (1995).
-
(1995)
J. Phys. A
, vol.28
, pp. 3901-3910
-
-
Fang, H.P.1
-
24
-
-
4243980895
-
-
Thème cycle, LESP, URA CNRS 230, CORIA, Rouen
-
P. Dutertre, Caractérisation des attracteurs étranges par leurs populations d'orbites périodiques, Thème cycle, LESP, URA CNRS 230, CORIA, Rouen, 1995.
-
(1995)
Caractérisation des Attracteurs Étranges Par Leurs Populations D'orbites Périodiques
-
-
Dutertre, P.1
-
26
-
-
0003582543
-
-
Cambridge University Press, Cambridge
-
E. Ott, Chaos in Dynamical Systems (Cambridge University Press, Cambridge, 1993).
-
(1993)
Chaos in Dynamical Systems
-
-
Ott, E.1
-
28
-
-
11944269216
-
-
J. R. Buchler, T. Serre, Z. Kolláth, and J. Mattei, Phys. Rev. Lett. 74, 842-845 (1995).
-
(1995)
Phys. Rev. Lett.
, vol.74
, pp. 842-845
-
-
Buchler, J.R.1
Serre, T.2
Kolláth, Z.3
Mattei, J.4
|